H. You own a bakery that produces two types of cakes: chocolate cakes and vanilla cakes. You need to decide how many cakes you need to make each day in order to maximize your profit. Each chocolate cake requires 2 cups of flour (1 cup of sugar and 3 eggs. Each vanilla cake requires 1 cup of flour 2 cups of sugar, and 2 eggs Each day you have a total of 40 cups of flour, 60 cups of sugar and 60 eggs available to use. A chocolate cake costs $9.25 to make and sells for $18.50. A vanilla cake costs $8.00 to make and sells for $15.50. How many of each should you make so that your profit is as high as possible? How much money ca you make?

A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000

In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175 on each business return, find the maximum profit. An accountant prepares tax returns for individuals and for small businesses. On average, each individual return requires 3 hours of her time and 1 hour of computer time. Each business return requires 4 hours of her time and 2 hours of computer time. Because of other business considerations, her time is limited to 240 hours, and the computer time is limited to 100 hours. If she earns a profit of 80 on each individual return and a profit of 150 on each business return, how many returns of each type should she prepare to maximize her profit?