70.2K

Verified Solution

Link Copied!

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 Audience per advertisement Cost per advertisement Maximum media usage 20000 Television Radio 100000 $2000 10 Online 18000 $300 25 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 $27,500, how many commercial messages should be run on each medium to maximize total audience Conta What is the allocation of the budget among the three media? If required, round your answers to the nearest dollar. Let T-number of television spot advertisements R-number of radio advertisements O = number of online advertisements R- C 0- 9x 1x 15 Budget ($) 9,000 300 x 18,000 Total Budget - $ 27,300 X What is the maximum total audience that would be reached? Round your answer to the nearest whole 1,218,00 x ENS 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. 1,236,00 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: Radio Online Constraint Audience per advertisement Cost per advertisement Television 100000 18000 $300 $2000 20000 $600 15 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. a. If the promotional budget is limited to $27,500, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media? If required, round your answers to the nearest dollar. Let T = number of television spot advertisements R = number of radio advertisements = number of online advertisements Budget (5) 9,000 X 300 x 18,000 x Total Budget = $ 27,300 X What is the maximum total audience that would be reached? Round your answer to the nearest whole number. 1,218,00 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. 1,236,00

Answer & Explanation Solved by verified expert

See Answer