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Math 1160: Linear Programming Word ProblemsTry to determine the following Mental Challenge. Solve the problems below to help you fill in the blanks. Blankswithout a number are vowels Ca, e, i, 0, u)

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1. A company manufactures bookshelves and computer desks. The company makes a profit of$25 pe r bookshelfand $55 per desk. In order to maintain their high quality products, the company should not manufacture morethan a total of 80 bookshelves and desks per day. In order to meet customer demand, they must manufacturebetween 30 and 80 bookshelves per day. Furthermore, the company must manufacture at least 10 and no morethan 30 desks per day. How many bookshelves and how many computer desks should be manufactured per dayto obtain maximum profit?

2. A gold processor has two sources of gold ore, source A and source B. In order to keep his p lant running, at leastthree tons of ore must be processed each day. Ore from source A costs $20 pe r ton to process, and ore fromsource Bcosts $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal ,Regulations require that the amount of ore from source Bcannot exceed twice the amount of ore from source A.If ore from source A yields 2 oz. of gold per ton, and are from source B yields 3 oz. of gold pe r ton, how manytons of ar e from both sources must be processed each day to maximize the amount of gold extracted?

3. An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 5% and the mutual fund yields anaverage of9%. The mutual fund requires a minimum investment of$10,000, and the investor requires that twiceas much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much inthe mutual fund to maximize the return?

4. At a certain refinery, the refining process requires the production of at least two gallons of gasoline for eachgallon of fuel oil. To meet the anticipated demands of winter, at least three million gallons of fuel oil a day willneed to be produced. The demand for gasoline, on the other hand, is not more than 6.4 million gallons a day. I fgasoline is selling for $1.90 per gallon and fuel oil sells for $1.50 pe r gallon, how much of each should beproduced in order to maximize revenue?

5. There is only 600 milligrams of a certain drug that is needed to make both large and small pills for small scalepharmaceutical distribution. The large tablets weigh 40 milligrams and the smaltones, 30 milligrams. Consumerresearch determines that at least twice the amount of the smaller tablets are needed than the large ones andthere needs to be least three large tablets made. Each large tablet is sold for a profit of $2 and the small tablet, $1How many tablets of each type have to be prepared to obtain the maximum profit?

Answers:D.6400000,3200000 R. 50,30 Q.2,4S. 40000, 20000 H. 6,12

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