The owner of Artisanal Chips etc. produces three flavors of artisanal corn chips marketed at new college graduates — pumpkin (P), chipotle adobo (C) 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 2 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 2 ounces of salt, 3 ounces of maize, and 4 ounces of herbs. Profits for a bag of basement chips are $1, for chipotle-adobo chips is $0.60, and for a bag of pumpkin chips $0.50. Formulate an LP that maximizes the profit of making chips using the resources on hand.
The owner of Artisanal Chips etc. produces three flavors of artisanal corn chips marketed at new college graduates — pumpkin (P), chipotle adobo (C) 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 2 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 2 ounces of salt, 3 ounces of maize, and 4 ounces of herbs. Profits for a bag of basement chips are $1, for chipotle-adobo chips is $0.60, and for a bag of pumpkin chips $0.50.
Formulate an LP that maximizes the profit of making chips using the resources on hand.
(Note that write down your whole LP.)
Step by step
Solved in 3 steps with 4 images
