A linear programming computer package is needed. include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. the total number of advertisements authorized. (a) If the promotional budget is limited to $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio 10 Online What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget Radio Budget Online Budget Total Audience (b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.) price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows. produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.25 per pound. Colombian beans purchased to produce DeCaf.) Max s.t. Regular \% constraint DeCaf \% constraint Pounds of Regular Enter an equation. Pounds of DeCaf Enter an equation. produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.25 per pound. Colombian beans purchased to produce DeCaf.) Max s.t. 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)=( (c) What is the contribution to profit (in \$)? (Round your answer to two decimal places.) $