Question: A linear programming computer package is needed. The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way
A linear programming computer package is needed. The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited to $15,900, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio 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.) A linear programming computer package is necded. The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabillize income. The various revenue-producing investments together with annual rates of return are as follows. The credit union will have $2,400,000 avallable for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments. - Risk-free securities may not exceed 30% of the total funds avalfable for investment. - Signature loans may not exceed 10% of the funds invested in all loans (automoblle, furniture, other secured, and signature loans). - Furniture loans plus other secured loans may not exceed the automobile loans. - Qther secured loans plis signature loans may not exceed the funds invested in risk-free securities. How should the $2,400,000 be allocated to each of the loan/investment alternatives to maximize total annual return? What is the projected total annual return