Final Proyect Arepas Colombianas

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    Title: Project Arepas Colombianas

    Colombian Pones

    Final Presentation

    Submitted to the

    Faculty of Ana G. Mendez

    Carlos Ramos

    In partial fulfillment of

    the requirements of the

    Managerial Accounting

    By

    Edwin Alexander Gomez A.

    Miriam Macias

    Jenifer Padilla

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    Ana G Mendez University System

    Orlando, Florida

    April, 2010

    Professor Approval:

    ______________________________

    Abstract

    In moments of crisis only creativity is more important than knowledge.

    Albert Einstein

    Once you have identified an attractive target, move towards him is nice, and not doing so is

    uncomfortable.

    Stephen Covey

    In general, people decide to change course in difficult times. When all is well, just talk about

    change.

    Po Bronson

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    Introduction

    Arepas Colombianas or Colombian Pones, by his name in English, its a familiar project,

    that start in February of 2010, due the actual economic crisis in the United States by

    unemployment, and the need to cover the debs, bills and family expenses but also, the principal

    factor to be independent and do not continue with the routine paycheck to paycheck, like the

    most of the immigrants of the United States.

    Through of this work, it seeks to apply the knowledge gained in the field of managerial

    accounting in real life, as cost management, budgets and prices, with a company that until now

    begins, and may be the factor more relevant of the firm to acquire strength and stability over

    time, and which is also begins to be profitable.

    Colombian pones with cheese, whose mass is enriched with the addition of milk, butter and

    sugar well kneaded with warm water and have as its key feature that puts the cheese before

    baking, when they are making the disks or wheels mass. The pone is a cake dough or cornmeal

    circular and semi-flattened usually grilled or fried cuisine. It is food used to be eaten as a main

    dish or as a companion, alone or stuffed, often as part of breakfast, lunch or dinner. It is a

    traditional dish of Colombian, Venezuelan and Panamanian cuisines. Has achieved a significant

    spread in the Canary Islands following the return of immigrants from Venezuela. The pone is

    called a tortilla in Panama for influence in Central America, is linked to the tortilla and

    Salvadoran pupusas.

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    Background

    The academic and historical essays on the culture of Latin America, Mariano Picn Salas,

    spoke about the origin of the pone as follows: "The Caribs and Cumanagotos used both as the

    ripe corn, the latter were served to prepare a kind of bread corn (the corn bread), according to

    techniques that have been preserved to date (1953). The corn bread they called "erepa" as

    elaborated by giving the mass round, imitating the sun god, paying tribute as divine food.

    Thus, some locate the origin of the pone in what today is Venezuela, which explains the

    importance that food means food in Venezuela, where it is assumed that spread to other regions

    and countries, particularly neighboring Colombia, where he found great acceptance. After the

    discovery of America by the chroniclers was learned that when Christopher Columbus arrived in

    San Salvador (first played by Columbus on American soil, island in the Bahamas today, before

    named Guanahani in 1492), the natives offered pones prepared from cassava and Mahis (Corn).

    In addition, Fray Pedro Simon, in his News histories of the conquests of the mainland in the

    West Indies, and Bernabe Cobo, History of the New World, wrote that the natives in America

    made some cakes "as thick as a finger, which is called pones. From the nineteenth century in

    Venezuela and Colombia, for each region and each family there is a formula for the pone, which

    is very popular nowadays, regarded as an icon and very representative of the cuisine and culture

    of Venezuela and Colombia. In Colombia, the pone is a recognized icon of the Colombian

    cuisine today. The Colombian pones can be prepared with different types of corn, and get

    different names, like Choclo or corn pone, prepared with tender sweet corn (corn that is called

    choclo), white cornmeal, made from white corn flour or its pre-cooked , which is often

    accompanied by cheese in or on the pone (corn bread with cheese), peeled corn pone typical of

    the Santander, made with corn previously treated with ash or lime to remove the seed coat,

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    yellow cornmeal, made with yellow corn flour, cornmeal fried, typical of the Caribbean Coast,

    made with corn meal pre cooked white or yellow, can be with or without a little cheese, salt, then

    fried, cornmeal or cornmeal egg yolks, which are fry a little, stuffed with an egg, and finally

    finish frying; arepa paisa which is basically a white cornmeal, a little thinner, which is

    prepared and served without salt, without filling to accompany the meal of corn bread mote

    (Amerindian language word in Quechua means cooked corn); cornmeal boiled (boiled); arepa

    with hogao; cornmeal wheat, cornmeal Boyaca, valley-and cornmeal arepas stuffed with cheese

    or any kind of meats and vegetables. In Colombia is celebrated annually on Colombian Arepa

    Festival in the five largest cities: Barranquilla, Bogota, Bucaramanga, Cali and Medellin. Under

    the original schedule in each city take turns organizing the festival between the months of

    August and December. Also prepared charcoal grilled arepas or grilled, sometimes over bijao

    leaves that give a distinctive odor, which are filled with all kinds of meat (ground beef, try

    strained, chicken, pork), cheese coast, meats (sausage , pepperoni, sausage), vegetables and

    sauces. For many years the arepas were a food supplement of the native tribes in Latin America,

    and through the years have become an essential part of the diet of Hispanic families.

    The arepas are recognized in most countries of the Americas, but each has its traditional way

    of preparation where the ingredients vary, the shape and size. Arepas can be made with white or

    yellow corn, salt, cheese or sugar, may be big, small, thick or thin. The shape of the arepas and

    the different ingredients that are produced depends on the region where it is consumed. The

    arepa has become a perfect complement to meals thanks to its mild flavor can be eaten alone or

    accompanied. There are many recipes and ways to eat and combine the arepas. The U.S. has an

    excellent corn becoming one of the largest producers of corn in the world. The pones made from

    the corn, are crunchy, delicious and nutritious. With the immigration of Hispanics and the

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    popularity of Latin food arepas are rapidly reaching the American markets. One of the most

    popular is the arepa with cheese, because you Americans have a love for cheese and corn.

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    Managerial Accounting Analysis

    The Colombian Pones Company, it is considered a self employment company, which begins

    operations in February 25 of 2010, in the family house. Some items used in the managerial

    accounting in companies at big scale, are not used here, because is a very small company, and

    that items are not a relevant costs to make the analysis in this project. The Inventory system used

    are a FIFO system, due it is a perishable product and his consumption will be daily, because the

    production do not use preservatives. The raw materials inventory it is also very small, because

    the sales daily are very variable and just started with trials and do not have at is time a specific

    brand of each direct material. All information provided is based on the work carried out during

    these few weeks and may omit relevant factors in making long term decisions, but is expected to

    make an evaluation and a deeper financial analysis, once completed is to least one fiscal period a

    year. Due the small size of operation, to purpose of this analysis, it is considered the process cost system,

    because the company produce daily the same quantity of pones, do not the matter if all the production is

    sold or not. Some days are short, some days left 4 or 5 pones, so it is by this aspect, and the company

    considers an average of production and sales of fifty pones weekly.

    The direct materials in the elaboration of the pones are:

    Precooked white corn flour

    Warm water

    Warm milk

    Sugar

    Butter

    Salt

    Mozzarella cheese

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    The presentation of the direct material are as follows, and with those units, gives a production

    of 50 units that is the same weekly average production:

    Precooked white corn flour Bag 5 lb $4.89

    Mozzarella Cheese Bag 2 lb $7.29

    Sugar Bag 4 lb $2.79

    Salt at taste Bag 1 lb $0.79

    Butter Bar 1 lb $0.69

    Milk 1 gallon $2.79

    Water 1 gallon $0.011

    The direct labor are considered the same profit, due at this moment it is a self employment

    company, and just expend a 2 hours in the direct manufacturing of the pones and is 1 hour in the

    transport and delivery and 1 hour in sales.

    In the production of the pones, is used the following Manufacturing Overhead in a daily

    basis:

    Indirect materials

    Spray Canola Oil 0.2 can $0.67

    Envelope 0.5 Yards $0.02

    Water 1 gallon $0.011

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    Utilities

    Water 1 Gallon $0.011

    Electricity 60W/ hour $0.54

    Transport 1 Gallon gas $2.57 Average

    25 Miles

    The depreciation costs are not take it in consideration at this moment, due the company just

    started 6 weeks ago, and are nor a relevant cost in the purpose of this analysis. Direct labor is

    equal to the profit, due is a self employment company. The time is a total of 3 hours daily. 2

    hours in manufacturing and one in sales. To determine the overhead rate at this moment is

    speculating, because until now, the statistics are being taken and are still assessing the costs of

    direct materials, manufacturing overhead and at the actual production level, is hard determine if

    the company will grow up in the middle or in the long term.

    The company will consider the cost of direct materials only, to determine the price of sale, and it

    was decided the use of the total cost of direct materials dividing the total number of units

    produced to determine the cost per unit and thus, determine whether they could make a profit.

    The development of this calculation is as shown below:

    Arepas Colombianas

    Determination of the cost per unitFebruary 25/2010 to March 04/2010

    Total units 50

    Direct materials

    Precooked white corn flour Bag 5 lb $4.89

    Mozzarella Cheese Bag 2 lb $7.29

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    Sugar Bag 4 lb $2.79

    Salt at taste Bag 1 lb $0.79

    Butter Bar 1 lb $0.69

    Milk 1 gallon $2.79

    Water 1 gallon $0.01

    Indirect materials

    Spray Canola Oil 0.2 can $0.67

    Envelope 0.5 Yards $0.02

    Water 1 gallon $0.01

    Utilities

    Water 1 Gallon $0.01

    Electricity 60W/ hour $0.54

    Transport* 1 Gallon gas $2.57 Average

    Total Costs

    $23.0

    7

    Cost per Unit $0.46*Depreciation are not considered

    The total units produced in the week is the same that are sold in the week, because due the

    nature of the product, the company cannot keep inventory of finished products, but can keep the

    product in process for undefined periods of time, according the needs of the production and the

    demand of the product. To compute the equivalent units, this measure will be made in a daily

    basis, because every week start with a new process and at the end of that week, the final

    inventory of products in process and finished product are zero. With the purpose to show the

    equivalent units, it is show as follows:

    Work in process units Feb 25/2010 0

    Direct Materials 100% Complete

    Conversion costs 24% Complete

    Units started into production during this week 50

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    Units complete and transferred out to baking 12

    Work in process units end Feb 25/2010 38

    Over the week, the products in process are decreasing with the purpose that at the end of the

    week, the products in process will be zero. To make a complete analysis of the equivalent units,

    it is take the next day as follows:

    Work in process units Feb 26/2010 38

    Direct Materials 100% Complete

    Conversion costs 48% Complete

    Units started into production during this week 50

    Units complete and transferred out to baking today 12

    Units completed and sold 12

    Work in process units at end Feb 25/2010 26

    Units accounted for completed, transferred out and sold Feb 26 24

    Costs of direct materials 100% $23.07

    Conversion Costs 48% Complete $11.075

    Cost incurred during production at Feb 26 $11.075

    Total Conversion Costs $22.15

    Unit Conversion Costs $0.461

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    Materials Conversion Costs

    Units transferred out 24 24

    Work in Process

    50 * 100% 26

    50 * 48 % 24

    Total Equivalent Units 50 48

    Now, it is show the unit production cost:

    Total Material Costs $23.07

    Equivalent Units of Materials 50

    Unit material Cost $0.46

    Cost of goods in process $11.073

    Started into Production $11.075

    Total Costs $22.148

    Total manufacturing Cost per unit $0.921 (Unit Material Cost + Unit Conversion Cost)

    Due the size of the company, it is not possible at this moment work with an Activity-Based

    costing, because it is just one person doing all the activities, so the cost drivers are focus in one

    person with many activities, and the values are very small go get a representative impact in the

    determination of the cost and prices to sold.

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    Now, to determine the Variable and the Fixed Costs, it is used the actual information over the

    different weeks, plus some projections of production, with the purpose of illustrate the Cost

    Volume Profit Analysis, Contribution Margin Analysis and Contribution Margin Ratio, Break-

    Even Analysis, Relevant Costs and Flexible Budgets. It is used the High-Low method to

    compute the variable and fixed costs, because all the weeks the company keep the same

    production of 50 pones, and at the end of the week, the inventory is reduced to a small portion

    of raw materials, but every day the production varies and not all days keep the same production,

    although at the end of the week, keep the production at level of 50 units.

    The Variable cost include all the direct materials, the fixed cost are the indirect materials, the

    utilities and the transport, because no matter the level of production, always going to incur these

    costs there will be a unit or fifty in a single day. In an operation of a 100%, the production by

    hour is 12 units and the fixed cost keep at the level show above. Some days, the company

    operates at 50% but not less, and tries all the days keep the level of production 75% to 100%. To

    get the CVP analysis, it starts with the determination of the total cost per units, using the relevant

    range and the actual level of production with a daily basis, with the purpose to illustrate the CVP

    analysis.

    Arepas ColombianasDetermination Relevant Range

    March 04/2010

    Operation at % # units Costs100 12 $5.52

    Actual Operation 95 11.4 $5.2490 10.8 $4.97

    Relevant range 85 10.2 $4.6980 9.6 $4.4275 9 $4.14

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    70 8.4 $3.8665 7.8 $3.5960 7.2 $3.3155 6.6 $3.0450 6 $2.76

    45 5.4 $2.48Cost per unit $0.46

    With the objective to illustrate the use of the High-Low Method, it takes the information of

    the dark blue area of the table shown above, but with a projection until one hundred units, by the

    projection model, without taking the changes in the relevant range at the different levels of fixed

    costs that will be shown more forward.

    Arepas Colombianas

    High-Low Method

    February 25/2010 to March 04/2010

    Production Based in Daily Sales

    Units Costs Sales

    Monday 12 $5.52

    $12.0

    0

    Tuesday 7 $3.22 $6.00

    Wednesday 11 $5.06

    $11.0

    0

    Thursday 9 $4.14 $9.00

    Friday 11 $5.06

    $12.0

    0

    Total Week 50

    $23.0

    0

    $50.0

    0

    High 12 $5.52

    Low 7 $3.22

    Selling Price x unit $1.00

    Variable Cost $2.17

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    Variable Cost x unit $0.04

    Contribution Margin $47.83

    Contribution Margin x Unit $0.96

    Contribution Margin Ratio 95.65%

    Fixed Costs $20.83

    Total Costs $23.00

    Total Costs x Unit $0.46

    Break Even Point in Units 21.7727

    Break Even Point in $ $21.77

    Net Income Week $27.00

    # Units

    Total

    Costs

    Variable

    Cost

    Fixed

    Cost Sales0 $20.83 $0.00 $20.83 $0.00

    10 $21.26 $0.43 $20.83 $10.00

    20 $21.70 $0.87 $20.83 $20.00

    30 $22.13 $1.30 $20.83 $30.00

    40 $22.57 $1.74 $20.83 $40.00

    50 $23.00 $2.17 $20.83 $50.00

    60 $23.43 $2.61 $20.83 $60.00

    70 $23.87 $3.04 $20.83 $70.00

    80 $24.30 $3.48 $20.83 $80.00

    90 $24.74 $3.91 $20.83 $90.00

    100 $25.17 $4.35 $20.83

    $100.0

    0

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    Graph CVP Analysis

    To define the relevant costs at this time are not considered in the reality, because it is a new

    company, just have a few week in operation. But, to follow the objetives of the analysis, consider

    the alternative one like the production of cheese pones and the alternative 2, the filled pones

    with chiken. Some people do not like the cheese, but also some people do not like the chicken,

    but booth kind of people enjoy the pones. to take this consideration, it is replace the cheese by

    the chicken, to decide wich of those kind of pones are more profitable.

    Arepas Colombianas

    Switch the cheese for chicken

    Projection Over the week

    Total units 50

    Direct materials

    Precooked white corn flour Bag 5 lb $4.89

    Chicken Tray 2 lb $2.53

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    Sugar Bag 4 lb $2.79

    Salt at taste Bag 1 lb $0.79

    Butter Bar 1 lb $0.69

    Milk 1 gallon $2.79

    Water 1 gallon $0.01

    Indirect materials

    Spray Canola Oil 0.2 can $0.67

    Envelope 0.5 Yards $0.02

    Water 1 gallon $0.01

    Utilities

    Water 1 Gallon $0.01

    Electricity 60W/ hour $0.54

    Transport*

    1 Gallon

    gas $2.57 Average

    Total Costs

    $18.3

    1

    Cost per Unit $0.37

    Operation at % # units Costs

    100 12 $4.40

    95 11.4 $4.18

    90 10.8 $3.96

    85 10.2 $3.74

    80 9.6 $3.52

    75 9 $3.30

    70 8.4 $3.08

    Arepas Colombianas

    High-Low Method

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    February 25/2010 to March 04/2010

    Production Based in Daily Sales

    Units Costs Sales

    Monday 12 $4.44

    $12.0

    0

    Tuesday 7 $2.59 $6.00

    Wednesday 11 $4.07

    $11.0

    0

    Thursday 9 $3.33 $9.00

    Friday 11 $4.07

    $12.0

    0

    Total Week 50

    $18.5

    0

    $50.0

    0

    High 12 $5.52

    Low 7 $2.59

    Selling Price x unit $1.00Variable

    Cost $1.71

    Variable Cost x unit $0.03

    Contribution Margin $48.29

    Contribution Margin x Unit $0.97

    Contribution Margin Ratio 96.59%

    Fixed Costs $16.79

    Total Costs $18.50

    Total Costs x Unit $0.37

    Break Even Point in Units 17.3869

    Break Even Point in $ $17.39

    Net Income Week $31.50

    At this point, are more profitable the Chicken pones due the low price of the chicken. At

    moment to made the pones and sold, it is found that the people prefeer the cheese pones that

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    the chicken pones. That day, the company just sold 3 pones of chicken and left 9 units, so,

    generate a loose of $24.16. so, at this point it is consider the oportunity cost more that the

    relevant costs, because the company reduce the costs, but are a product that do not have the same

    demand that the cheese pones.

    Now, to create a flexible budget for the sales levels at 95%, 100%, 105%, it is started with the

    preparation of the operating budgets. Some of the budgets that it will be show, are the sales

    budget, production budget, direct materials budget, income statement budget, and will made the

    analysis at the different levels of sales of the flexible budgets. Due the budgets are a periodic

    controls of the projections in the short term, Arepas Colombianas made the proyection until

    the end of the present year, with the objetive to evaluate if the company was profitable, which

    areas need to improve, which areas are relevants and also, try to keep the company in the market

    to, in the long term, the company increase their operations.

    Cost per unit $0.46 Weeks 12

    Week of (days) 5

    % # units Costs

    Weekly

    Prod

    Quarter

    Prod

    150 18 $8.28 90 1080

    145 17.4 $8.00 87 1044

    140 16.8 $7.73 84 1008

    135 16.2 $7.45 81 972

    130 15.6 $7.18 78 936

    125 15 $6.90 75 900

    120 14.4 $6.62 72 864

    115 13.8 $6.35 69 828

    110 13.2 $6.07 66 792

    105 12.6 $5.80 63 756

    100 12 $5.52 60 720

    95 11.4 $5.24 57 684

    90 10.8 $4.97 54 648

    85 10.2 $4.69 51 612

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    80 9.6 $4.42 48 576

    75 9 $4.14 45 540

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    Arepas Colombianas

    Sales Budget

    For the year ending in Dec 31/2010

    Quarter

    Sales at 95%

    1 2 3 4 Year

    Expected unit sales 684 684 684 684 2736.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00

    Total sales

    $684.0

    0

    $684.0

    0

    $684.0

    0

    $684.0

    0

    $2,736.0

    0

    Quarter

    Sales at 100%

    1 2 3 4 Year

    Expected unit sales 720 720 720 720 2880.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00

    Total sales

    $720.0

    0

    $720.0

    0

    $720.0

    0

    $720.0

    0

    $2,880.0

    0Quarter

    Sales at 105%

    1 2 3 4 Year

    Expected unit sales 756 756 756 756 3024.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00

    Total sales

    $756.0

    0

    $756.0

    0

    $756.0

    0

    $756.0

    0

    $3,024.0

    0

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    If take in consideration an increase by quarter of the production, almost of the 1%, it is

    necessary taking in consideration the increases of the fixed costs, changes in the relevant range

    and posible increases also in the variable costs, but keeping the same sales price per unit, while

    the variables will increase. To reduce the fixed cost will be necessary change the equipment used

    at this time, to reduce the comsuption of energy, and will be reevaluate the kind of envelope used

    at the moment. Other way to reduce the costs, are changing the method of purchaing, due the

    purchases are in normal supermarkets and if the company contact wholesale distributors, the

    volume of the raw materials will increase at lower cost, and the company can keep the same sales

    price. It to remember that due the nature of the product, it is impossible keep inventory at the end

    of the day. So, make a production budget without the infraestructure to make the projections and

    estimates, it is just an illusion. Anyway, it is for ilustrative purposes that is shows bellow: If it is

    dessired a production of 756 units by quarter (105% of the production level), it is consider the

    following:

    Budgeted Sales units 720

    Desired Ending Finished Goods 756

    Beginning Finished Goods 600

    Production required 876

    The budgetes Sales units is taked in consideration with a 100% of the production daily and

    with the period of five days by twelve weeks, that is the quarter. On the direct materials budget ,

    was considered the table show above:

    Direct Material Required for production $20,211.95

    Desired Ending Direct materials 0

    Beginning Direct materials$13,843.8

    0Required Direct materials to be $6,368.15

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    purchasedThe Manufacturing Overhead Budget is as shows bellow:

    Quarter

    Utilities 1 2 3 4

    Energy $60.00 monthly$180.0

    0$180.0

    0$180.0

    0$180.0

    0

    Water $32.00 monthly $96.00 $96.00 $96.00 $96.00

    Transport $130.00 monthly$390.0

    0$390.0

    0$390.0

    0$390.0

    0

    Envelope $14.00 monthly $42.00 $42.00 $42.00 $42.00

    To make the flexible budget, takes the levels of 95%, 100% and 105% of production and

    assuming that all the production are sold and do not leave a losses.

    Arepas Colombianas

    Sales Budget

    For the year ending in Dec 31/2010

    Quarter

    Sales at 95%

    1 2 3 4 Year Expected unit

    sales 684 684 684 684 2736.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00

    Total sales$684.0

    0$684.0

    0$684.0

    0$684.0

    0 $2,736.00

    Variable Costs $29.74 $29.74 $29.74 $29.74 $118.96

    Fixed Cost$284.9

    0$284.9

    0$284.9

    0$284.9

    0 $1,139.60

    Total Costs$314.6

    4$314.6

    4$314.6

    4$314.6

    4 $1,258.56

    Net Income$369.3

    6$369.3

    6$369.3

    6$369.3

    6 $1,477.44

    Quarter

    Sales at 100%

    1 2 3 4 Year Expected unitsales 720 720 720 720 2880.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00Total sales $720.0 $720.0 $720.0 $720.0 $2,880.00

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    0 0 0 0

    Variable Costs $31.30 $31.30 $31.30 $31.30 $125.22

    Fixed Cost$299.9

    0$299.9

    0$299.9

    0$299.9

    0 $1,199.58

    Total Costs

    $331.2

    0

    $331.2

    0

    $331.2

    0

    $331.2

    0 $1,324.80

    Net Income$388.8

    0$388.8

    0$388.8

    0$388.8

    0 $1,555.20

    Quarter

    Sales at 105%

    1 2 3 4 Year Expected unitsales 756 756 756 756 3024.0

    Unit Selling Price $1.00 $1.00 $1.00 $1.00 $1.00

    Total sales

    $756.0

    0

    $756.0

    0

    $756.0

    0

    $756.0

    0 $3,024.00

    Variable Costs $32.87 $32.87 $32.87 $32.87 $131.48

    Fixed Cost$314.8

    9$314.8

    9$314.8

    9$314.8

    9 $1,259.56

    Total Costs$347.7

    6$347.7

    6$347.7

    6$347.7

    6 $1,391.04

    Net Income$408.2

    4$408.2

    4$408.2

    4$408.2

    4 $1,632.96

    At this time is uncertain determine if the flexible budget are favorable or unfavorable, due the

    short history of the company and the size of the same. It is important view that although the

    company have an small size, started a few weeks ago and is a self-employment company, the

    invests was very small, the profit it is very high (more of the 50% of the costs) and have the

    acreditation of the customer that the product have a very good taste, smoothness and meets with

    the expectatives that the people want.

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    References

    Weygandt, J., Kimmel, P., Kieso, D. (2010) Managerial Accounting Edition 5, Willey and

    Sons, Inc.

    Gomez, O., Zapata, P. ( 1998) Contabilidad de Costos, Tercera Edicion, McGraw Hill.