1. The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three
basic blends in 1-pound bags, Special, Mountain Dark, and Mill Regular. It uses four different
types of coffee to produce the blends, Brazilian, mocha, Columbian, and mild. The shop used the
following blend recipe requirements.
Selling
Blend Mix requirements
Price/lb ($)
Special At least 40% Columbian, 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
Columbian is $2.90 per pound, and the cost of mild is $1.70 per pound. The shop has 110
pounds of Brazilian coffee, 70 pounds of mocha, 80 pounds of Columbian, and 150 pounds of
mild coffee available per week. The shop wants to know the amount of each blend it should
prepare each week in order to maximize profit. Formulate a linear programming model for this
problem.
, Final Exam Review Questions STAT 2112
1. The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three
basic blends in 1-pound bags, Special, Mountain Dark, and Mill Regular. It uses four different
types of coffee to produce the blends, Brazilian, mocha, Columbian, and mild. The shop used the
following blend recipe requirements.
Selling
Blend Mix requirements
Price/lb ($)
Special At least 40% Columbian, 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
Columbian 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 Columbian, 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 a linear programming model for this
problem.