Linear programming
Question 1.
Shade the points that satisfy the inequality
.
Question 2.
Gerber Mixed Cereal for Baby contains in each serving 60 calories and 11 grams of carbohydrates. Gerber Mango Tropical Fruit contains in each serving 80 calories and 21 grams of carbohydrates.
Write as an inequality the condition that servings of Mixed Cereal and Tropical Fruit should provide no more than 200 calories.
Question 3.
A company manufactures two types of tennis rackets: a regular model and a deluxe model. The regular model takes 2 hours to assemble and the deluxe model takes 4 hours. The company has only 80 hrs/day available for assembly and the shipping department can only pack 25 rackets a day. Each regular racket nets a profit of $12 and each deluxe racket nets a profit of $20. How many rackets of each type should be produced to maximize profit?
A. Describe the meaning of each variable selected.
x =
y =
B. State the objective function (a formula in x and y)
C. Write the system of constraints.
D. Solve the problem.
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