Romans sells the Regular blend for $3.60 per pound and the DeCaf biend for $4.40 per pound. Romans would like to place an order for the Brailian and Colombian coffee beans that will enable the production of 1,200 pounds of Romans Regular cotfee and roo pounds of Romans DeCaf coffee. The production cont. is $0.80 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf biend is $1, os per pound. Packaging costs for both products are $0.25 per pound. (a) Formulate a linear programming model that can be used to determine the pounds of Brazillan Natural and Colombian Mild that will maximize the totai contribution to profit. (Let BR = pounds of Brazilian beans purchased to produce Regular, BD= pounds of Brazlian beans purchased to produce DeCaf, CA. - pounds of Colomblan beans purchased to produce Regulat, and CD= pounds of Colombian beans purchased to produce DeCaf.) Mas 5.t. Regular \% constraint DeCat % constraint Pounds of Regular Pounds of DeCat (b) What is the optimal solution? (BR,D,CR,CD)=(X) (c) What is the contribution to profit (in \$)? (Round your answer to two decimal places.)