The owner of Artisanal Chips etc. produces three flavors of artisanal corn chips marketed at new college graduates — pumpkin (P), chipotle adobo (A) and basement (B). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 1,000 ounces of salt, 2,000 ounces of maize, and 1,200 ounces of herbs. A bag of pumpkin chips requires 2 ounces of salt, 6 ounces of maize, and 1.75 ounces of herbs to produce; while a bag of chipotle-adobo chips requires 6 ounces of salt, 6 ounces of maize, and 5 ounces of herbs. A bag of basement chips requires 1.75 ounces of salt, 3.5 ounces of maize, and 1.5 ounces of herbs. Profits for a bag of basement chips are $0.40, for chipotle-adobo chips is $0.60, and for a bag of pumpkin chips $0.50.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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The owner of Artisanal Chips etc. produces three flavors of artisanal corn chips marketed at new college graduates — pumpkin (P), chipotle adobo (A) and basement (B). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 1,000 ounces of salt, 2,000 ounces of maize, and 1,200 ounces of herbs. A bag of pumpkin chips requires 2 ounces of salt, 6 ounces of maize, and 1.75 ounces of herbs to produce; while a bag of chipotle-adobo chips requires 6 ounces of salt, 6 ounces of maize, and 5 ounces of herbs. A bag of basement chips requires 1.75 ounces of salt, 3.5 ounces of maize, and 1.5 ounces of herbs. Profits for a bag of basement chips are $0.40, for chipotle-adobo chips is $0.60, and for a bag of pumpkin chips $0.50. a. Formulate a linear programming model for this problem. b. Solve this model by using the computer

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