A hospital dietitian will prepare a corn and pumpkin dish that provides at least 3 grams of protein and costs no more than US $0.36 per serving. One ounce of corn provides 0.5 g of protein and costs US $0.04. One ounce of pumpkin provides 0.25 gr. of protein and costs US $0.03. For good taste you need at least 2 ounces of corn and the
Could you help me to solve the following exercises, the topic is Linear Programming by the graphical method, please.
EXERCISE 1:
A hospital dietitian will prepare a corn and pumpkin dish that provides at least 3 grams of protein and
costs no more than US $0.36 per serving. One ounce of corn provides 0.5 g of protein and costs US $0.04. One
ounce of pumpkin provides 0.25 gr. of protein and costs US $0.03. For good taste you need at least 2 ounces of corn and the
2 ounces of corn and the same amount of pumpkin as corn. The number of ounces per serving should be as small as possible.
as small as possible. Find the combination of corn and pumpkin that makes the minimum serving size.
EXERCISE 2:
A shoemaker makes boots, men's and women's shoes, and can make 600 pairs per unit of time. The
shoemaker made 150 pairs for men and 240 pairs for women, and can sell at most 100 pairs for men and 300 pairs for women.
How many pairs of each type must he make to make the maximum profit, if the profit on boots is $3.00 per pair.
on boots is $3.00 per pair; on men's shoes $2.50 per pair; and on women's shoes $1.75 per pair?
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