Business, 15.10.2020 09:01, anayamulay

Romans Food Market carries a variety of specialty foods from around the world. Two of the stores leading products are: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild coffee beans. The current price is $0.517 per pound for Brazilian Natural and $0.682 per pound for Colombian Mild. The compositions of each coffee blend are as follows: Blend
Bean Regular Decaf
Brazilian Natural 75% 40%
Columbian Mild 25% 60%

Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 1,200 pounds of Romans Regular coffee and 700 pounds of Romans DeCaf coffee. The production cost is $0.80 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.25 per pound.

Required:
a. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.
b. What is the optimal solution and profit?

Answers: 3

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Romans Food Market carries a variety of specialty foods from around the world. Two of the stores lea...