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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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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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: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
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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