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(a) If the promotional budget is limited to $27,400, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio Online x x x What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 16000 Radio Budget Online Budget Total Audience X X x (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) If the promotional budget is limited to $27,400, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio Online x x x What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 16000 Radio Budget Online Budget Total Audience X X x (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.)

Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
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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. Constraint Radio Online Audience per advertisement Cost per advertisement Maximum media usage 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. Television X x x 200,000 X x x $2,000 Radio Online 10 36,000 80,000 $300 $600 (a) If the promotional budget is limited to $27,400, how many commercial messages should be run on each medium to maximize total audience contact? Television 20 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 16000 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.) x
Transcribed Image Text: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. Constraint Radio Online Audience per advertisement Cost per advertisement Maximum media usage 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. Television X x x 200,000 X x x $2,000 Radio Online 10 36,000 80,000 $300 $600 (a) If the promotional budget is limited to $27,400, how many commercial messages should be run on each medium to maximize total audience contact? Television 20 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 16000 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.) x
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 stabilize income. The various revenue producing investments together with annual rates of return are as follows. Type of Loan/Investment Annual Rate of Return (%) Automobile loans. Furniture loans Other secured loans 7 9 $ $ $ Signature loans $ Risk-free securities $ What is the projected total annual return? 10 Signature loans Risk-free securities The credit union will have $2,400,000 available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments. 11 8 Risk-free securities may not exceed 30% of the total funds available for investment. Signature loans may not exceed 10% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). • Furniture loans plus other secured loans may not exceed the automobile loans. . Other secured loans plus 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? Automobile loans Furniture loans Other secured loans
Transcribed Image Text: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 stabilize income. The various revenue producing investments together with annual rates of return are as follows. Type of Loan/Investment Annual Rate of Return (%) Automobile loans. Furniture loans Other secured loans 7 9 $ $ $ Signature loans $ Risk-free securities $ What is the projected total annual return? 10 Signature loans Risk-free securities The credit union will have $2,400,000 available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments. 11 8 Risk-free securities may not exceed 30% of the total funds available for investment. Signature loans may not exceed 10% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). • Furniture loans plus other secured loans may not exceed the automobile loans. . Other secured loans plus 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? Automobile loans Furniture loans Other secured loans
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