Explanation Given: The quantity of tomatoes is 3 , 000 , 000 kg for two products, 80 , 000 kg for sauce, and 800 , 000 kg of whole tomatoes. The cost of whole tomatoes is $ 4 and sauce is $ 3.25 . In total, 110 , 000 persons worked. Explanation: Let the number of canned whole tomatoes be y 1 in kg and the number of tomato sauce produced be y 2 . The minimum cost is w = 4 y 1 + 3.25 y 2 Subject to y 1 + y 2 ≤ 3 , 000 , 000 y 1 ≥ 800 , 000 y 2 ≥ 80 , 000 with y 1 ≥ 0 , y 2 ≥ 0 . The initial tableau is [ y 1 y 2 s 1 s 2 s 3 s 4 z 1 1 1 0 0 0 0 3 , 000 , 000 1 0 0 − 1 0 0 0 800 , 000 0 1 0 0 − 1 0 0 80 , 000 6 3 0 0 0 − 1 0 6 , 600 , 000 4 3.25 0 0 0 0 1 0 ] Pivot 1 in row 2 column 1. R 1 → R 1 − R 2 R 4 → R 4 − 6 R 2 R 5 → R 5 − 4 R 2 Then [ y 1 y 2 s 1 s 2 s 3 s 4 z 0 1 1 0 0 0 0 2 , 200 , 000 1 0 0 − 1 0 0 0 800 , 000 0 1 0 0 − 1 0 0 80 , 000 0 3 0 6 0 − 1 0 1 , 800 , 000 0 3.25 0 4 0 0 1 − 3 , 200 , 000 ] Pivot 1 in row 3 column 2. R 1 → R 1 − R 3 R 4 → R 4 − 3 R 3 R 5 → R 5 − 3.25 R 3 And [ y 1 y 2 s 1 s 2 s 3 s 4 z 0 1 1 1 1 0 0 1 , 400 , 000 1 0 0 − 1 0 0 0 800 , 000 0 1 0 0 − 1 0 0 80 , 000 0 0 0 6 3 − 1 0 1 , 560 , 000 0 0 0 4 3

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 4, Problem 44RE

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The minimum cost of every product.

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Chapter 4, Problem 43RE

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Chapter 4 Solutions

Finite Mathematics (11th Edition)

Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 2E Ch. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - Prob. 4E Ch. 4.1 - For Exercises 5-8. (a) determine the number of...Ch. 4.1 - Prob. 6E Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - For Exercises 5-8, (a) determine the number of...Ch. 4.1 - Introduce slack variables as necessary, then...Ch. 4.1 - Introduce slack variables as necessary, then write...

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