2. A diet is to include at least 140 milligrams of Vitamin A and at least 145 milligrams of Vitamin B. These requirements can be obtained from two types of food. An apple contains 10 milligrams of Vitamin A and 20 milligrams of Vitamin B per pound. An orange contains 30 milligrams of Vitamin A and 15 milligrams of Vitamin B per pound. If apples cost $12 per pound and oranges cost $8 per pound how many pounds of each fruit should be purchased to satisfy the requirements at the minimum cost? YA Objective Function Cz 1a x + Constraints 10xt30 y C 140 + 15g 145 Vertices Solution: apple GOrGnge S and combin g of the diffe rese re summ puter-a entered uon

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 6ECP
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2. A diet is to include at least 140 milligrams of Vitamin A and at least 145 milligrams of
Vitamin B. These requirements can be obtained from two types of food. An apple contains 10
milligrams of Vitamin A and 20 milligrams of Vitamin B per pound. An orange contains 30
milligrams of Vitamin A and 15 milligrams of Vitamin B per pound. If apples cost $12 per
pound and oranges cost $8 per pound how many pounds of each fruit should be purchased to
satisfy the requirements at the minimum cost?
YA
Objective Function
Cz 1a x +
Constraints
10xt30 y
C 140
+ 15g
145
Vertices
Solution:
apple
GOrGnge
S and
combin
g of the
diffe
rese
re summ
puter-a
entered
uon
Transcribed Image Text:2. A diet is to include at least 140 milligrams of Vitamin A and at least 145 milligrams of Vitamin B. These requirements can be obtained from two types of food. An apple contains 10 milligrams of Vitamin A and 20 milligrams of Vitamin B per pound. An orange contains 30 milligrams of Vitamin A and 15 milligrams of Vitamin B per pound. If apples cost $12 per pound and oranges cost $8 per pound how many pounds of each fruit should be purchased to satisfy the requirements at the minimum cost? YA Objective Function Cz 1a x + Constraints 10xt30 y C 140 + 15g 145 Vertices Solution: apple GOrGnge S and combin g of the diffe rese re summ puter-a entered uon
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