Question

In: Operations Management

Cedar Point amusement park management is preparing the park's annual promotional plan for the coming season....

Cedar Point amusement park management is preparing the park's annual promotional plan for the coming season. Several advertising alternatives exist: newspaper, television, radio, and displays at recreational shows. The information below shows the characteristics associated with each of the advertising alternatives, as well as the maximum number of placements available in each medium. Given an advertising budget of $125,000, how many placements should be made in each medium to maximize total audience exposure? Formulate this as a linear programming problem to be solved using QM.

Type

Cost

Maximum number

Exposure (1000s)

Newspaper

750

50

40

Television

1100

25

60

Radio

325

25

22.5

Shows

75

1.5

5

Solutions

Expert Solution

Decision variables:

Let A = No of newspaper ads

B = No of Television ads

C = No of Radio ads

D = No of Shows ads

Objective function is to maximize total audience exposure

Max Z = 40000A + 60000B + 22500C + 5000D

Decision variables:

750A+ 1100B +325C+75D <= 125000

A <= 50

B<= 25

C<=25

D<=1.5

A, B, C, D>=0


A = No of newspaper ads = 50

B = No of Television ads = 25

C = No of Radio ads = 25

D = No of Shows ads = 1.5

keosha answered 1 year ago
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