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A linear programming computer package is needed. Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world.

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A linear programming computer package is needed. Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store's leading products use the Rlomans Food Market name: Romans Regular Coffee and Romans DeCaf Colfee. These coffees are blends of Brazillan Natural and Colombian Mild colfee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an asneeded basis for a price 10% higher than the market price the distributor pays for the beans. The current market price is 50.47 per pound for Brazilian Natura! and $0.62 per pound for Colombian Mild. The compositions of each cotfee blend are as follows. 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 Colomblan coffee beans that will enable the production of 1,200 pounds of Romans Regutar coffee and 700 pounds of Romans DeCaf colfee, The production cost is $0.80 per pound for the Regutar biend. Because of the extra steps required to produce Decar, the production cost for the DeCar biend is $1.05 per pound, Packaging costs for both products are 50.25 per pound. (a) Formulate a linear programming model that can be used to dotermine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR= pounds of Erazlian beans purchased to produce Regular, BD= pounds of Brazilian beans purchased to produce DeCat, CR= pounds of Colombian beans purchased to produce Regular, and CD= pounds of Colombian beans purchased to produce DeCat, ) Max3.60(BR+CR)+4.40(BD+CD)(.471.10)(BR+BD)(.621.10)(CR+CD).80(BR+CR) Regular \% constraint DeCaf % constraint Pounds of Regular Enter an equation. Pounds of DeCaf Enter an equation. (b) What is the optimal solution? (BR,BD,CR,CD)=(Q) (c) What is the contribution to profit (in \$)? (Round your answer to two decimal places.)

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