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Category > Business & Finance Posted 20 Jun 2017 My Price 8.00

The Mystic Coffee Shop blends coffee

The Mystic Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in one-pound bags: Special, Mountain Dark, and Mill Regular. It uses four different types of coffee to produce the blends: Brazilian, mocha, Colombian, and mild. The shop used the following blend recipe requirements:

Blend

Mix Requirements

Selling Price/lb

Special

At least 40% Colombian, at least 30% mocha

$6.50

Dark

At least 60% Brazilian, no more than 10% mild

5.25

Regular

No more than 60% mild, at least 30% Brazilian

3.75

The cost of Brazilian coffee is $2.00 per pound, the cost of mocha is $2.75 per pound, the cost of Colombian is $2.90 per pound, and the cost of mild is $1.70 per pound. The shop has 110 pounds of Brazilian coffee, 70 pounds of mocha, 80 pounds of Colombian, and 150 pounds of mild coffee available per week. The shop wants to know the amount of each blend it should prepare each week in order to maximize profit.

Formulate and solve a linear programming model for this problem.

Answers

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Status NEW Posted 20 Jun 2017 08:06 AM My Price 8.00

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