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4. The formulation of the following problem and its corresponding augumented coefficient matrix and row reduced matrix are shown below. A zoo veterinarian can purchase animal food of 4 different types, A, B, C, and D. Each food comes in the same size bag, and the number of grams of each of three nutrients in each bag are summarized in the following table. Nutrient a. N₁ N₂ N3 A 5 10 5 5x + 5y +10z+5w=15,000 10x + 5y +30z+10w = 30,000 5x+15y +10z+25w=19,000 B 5 5 15 Food C 10 30 10 For one animal, the veterinarian determines that she needs to combine these bags to get 15,000 g of N₁, 30,000 g of N₂, and 19,000 g of N3. How many bags of each type of food should she order? Let x = no. of bags of Food A, y = no. of bags of Food B, z = no. of bags of Food C, and w= no. of bags of Food D State the general solution using the parameter t. D 5 10 25 5 5 10 5 15,000 10 5 30 10 30,000 →→ 0 1 0 2 15 10 25 | 19,000 5 00 1 1 1 0 0 -3 2,200 400 200

4. The formulation of the following problem and its corresponding augumented coefficient matrix and row reduced matrix are shown below. A zoo veterinarian can purchase animal food of 4 different types, A, B, C, and D. Each food comes in the same size bag, and the number of grams of each of three nutrients in each bag are summarized in the following table. Nutrient a. N₁ N₂ N3 A 5 10 5 5x + 5y +10z+5w=15,000 10x + 5y +30z+10w = 30,000 5x+15y +10z+25w=19,000 B 5 5 15 Food C 10 30 10 For one animal, the veterinarian determines that she needs to combine these bags to get 15,000 g of N₁, 30,000 g of N₂, and 19,000 g of N3. How many bags of each type of food should she order? Let x = no. of bags of Food A, y = no. of bags of Food B, z = no. of bags of Food C, and w= no. of bags of Food D State the general solution using the parameter t. D 5 10 25 5 5 10 5 15,000 10 5 30 10 30,000 →→ 0 1 0 2 15 10 25 | 19,000 5 00 1 1 1 0 0 -3 2,200 400 200

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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b. Give one particular solution to the problem. Use a sentence to state the number of bags of each type of food the veterinarian should purchase. c. Can we use t=250 to determine a particular solution to the problem? Explain.
Transcribed Image Text:b. Give one particular solution to the problem. Use a sentence to state the number of bags of each type of food the veterinarian should purchase. c. Can we use t=250 to determine a particular solution to the problem? Explain.
4. The formulation of the following problem and its corresponding augumented coefficient matrix and row reduced matrix are shown below. A zoo veterinarian can purchase animal food of 4 different types, A, B, C, and D. Each food comes in the same size bag, and the number of grams of each of three nutrients in each bag are summarized in the following table. Nutrient N₁ N₂ N3 A 5 10 5 5x + 5y + 10z+5w=15,000 10x + 5y +30z+10w = 30,000 5x+15y +10z+25w=19,000 B 5 5 15 Food For one animal, the veterinarian determines that she needs to combine these bags to get 15,000 g of N₁, 30,000 g of N₂, and 19,000 g of N3. How many bags of each type of food should she order? 5 5 10 5 15,000 10 5 30 10 5 15 10 25 a. State the general solution using the parameter t. C 10 30 10 Let x = no. of bags of Food A, y = no. of bags of Food B, z = no. of bags of Food C, and w= no. of bags of Food D D 5 10 25 1 00 -3 1 0 2 0 0 1 1 30,000 →→ 0 19,000 2,200 400 200
Transcribed Image Text:4. The formulation of the following problem and its corresponding augumented coefficient matrix and row reduced matrix are shown below. A zoo veterinarian can purchase animal food of 4 different types, A, B, C, and D. Each food comes in the same size bag, and the number of grams of each of three nutrients in each bag are summarized in the following table. Nutrient N₁ N₂ N3 A 5 10 5 5x + 5y + 10z+5w=15,000 10x + 5y +30z+10w = 30,000 5x+15y +10z+25w=19,000 B 5 5 15 Food For one animal, the veterinarian determines that she needs to combine these bags to get 15,000 g of N₁, 30,000 g of N₂, and 19,000 g of N3. How many bags of each type of food should she order? 5 5 10 5 15,000 10 5 30 10 5 15 10 25 a. State the general solution using the parameter t. C 10 30 10 Let x = no. of bags of Food A, y = no. of bags of Food B, z = no. of bags of Food C, and w= no. of bags of Food D D 5 10 25 1 00 -3 1 0 2 0 0 1 1 30,000 →→ 0 19,000 2,200 400 200
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