Consider the following linear programming problem: Chimpanzees have nutritional requirements that differ slightly from those of humans. According to one primate veterinarian, an adult chimp requires at least 79 g of carbohydrates, 37 g of fat, and 43 g of protein. An ounce of food A contains 12 g of carbohydrates, 4 g of fat, and 3 grams of protein, while an ounce of food B contains 10 g of carbohydrate, 3 g of fat, and 6 g of protein. Use x to represent the number of ounces of food A and y to represent the number of ounces of food B. Write a system of linear inequalities that describes the possible quantities of each type of food needed to meet the nutritional requirements of an adult chimpanzee. A 12x+10y ≥79 4x+3y≥37 3x+6y ≥43 X≥0 y≥0 B (12x+10y ≥43 4x+3y≥37 3x+6y≥ 79 *NO y≥0 C [12x+10y ≤79 4x+3y≤37 3x+6y≤43 x20 20 D 12x+10y ≥37 4x+3y≥43 3x+6y≥ 79 XNO y ≥0
Consider the following linear programming problem: Chimpanzees have nutritional requirements that differ slightly from those of humans. According to one primate veterinarian, an adult chimp requires at least 79 g of carbohydrates, 37 g of fat, and 43 g of protein. An ounce of food A contains 12 g of carbohydrates, 4 g of fat, and 3 grams of protein, while an ounce of food B contains 10 g of carbohydrate, 3 g of fat, and 6 g of protein. Use x to represent the number of ounces of food A and y to represent the number of ounces of food B. Write a system of linear inequalities that describes the possible quantities of each type of food needed to meet the nutritional requirements of an adult chimpanzee. A 12x+10y ≥79 4x+3y≥37 3x+6y ≥43 X≥0 y≥0 B (12x+10y ≥43 4x+3y≥37 3x+6y≥ 79 *NO y≥0 C [12x+10y ≤79 4x+3y≤37 3x+6y≤43 x20 20 D 12x+10y ≥37 4x+3y≥43 3x+6y≥ 79 XNO y ≥0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following linear programming problem:
Chimpanzees have nutritional requirements that differ slightly from those of humans. According to one primate veterinarian, an
adult chimp requires at least 79 g of carbohydrates, 37 g of fat, and 43 g of protein. An ounce of food A contains 12 g of
carbohydrates, 4 g of fat, and 3 grams of protein, while an ounce of food B contains 10 g of carbohydrate, 3 g of fat, and 6 g of
protein. Use x to represent the number of ounces of food A and y to represent the number of ounces of food B.
Write a system of linear inequalities that describes the possible quantities of each type of food needed to meet the nutritional
requirements of an adult chimpanzee.
A
12x+10y ≥79
4x+3y≥37
3x+6y ≥43
X≥0
y≥0
Transcribed Image Text:B
(12x+10y ≥43
4x+3y≥37
3x+6y≥ 79
*NO
y≥0
C
[12x+10y ≤79
4x+3y≤37
3x+6y≤43
x20
20
D
12x+10y ≥37
4x+3y≥43
3x+6y≥ 79
XNO
y ≥0
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