The Mystic Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in bulk in one-kilogram 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:

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

Formulate and solve a linear programming model for this problem.

Transcribed Image Text:

Blend Mix Requirements Selling Price/kg $6.50 Special At least 40% Colombian, at least 30% mocha Dark 5.25 At least 60% Brazilian, no more than 10% mild No more than 60% mild, Regular 3.75 at least 30% Brazilian