Table 8-2
Diamond Jewelers is trying to determine how to advertise in order to maximize their exposure.Their weekly advertising budget is $10,000.They are considering three possible media: tv, newspaper, and radio.Information regarding cost and exposure is given in the table below:
Let T = the # of tv ads, N = the # of newspaper ads, and R = the # of radio ads
-According to Table 8-2, which describes a media selection problem, what would the objective function be?
A)Maximize 10T + 7N + 20R
B)Minimize 10T + 7N + 20R
C)Minimize 7000T + 8500N + 3000R
D)Maximize 7000T + 8500N + 3000R

Question

Table 8-2
Diamond Jewelers is trying to determine how to advertise in order to maximize their exposure.Their weekly advertising budget is $10,000.They are considering three possible media: tv, newspaper, and radio.Information regarding cost and exposure is given in the table below:
  Let T = the # of tv ads, N = the # of newspaper ads, and R = the # of radio ads
-According to Table 8-2, which describes a media selection problem, what would the objective function be?
A)Maximize 10T + 7N + 20R 
B)Minimize 10T + 7N + 20R 
C)Minimize 7000T + 8500N + 3000R 
D)Maximize 7000T + 8500N + 3000R

Quizplus · Accepted Answer

The objective is to maximize exposure within a budget, which is represented by the given cost coefficients for each medium. Therefore, the objective function would be to maximize 7000T + 8500N + 3000R (the total exposure) subject to the constraint that the total cost can't exceed $10,000. Using linear programming, the optimal solution would be to allocate all of the budget to TV ads, resulting in T = 1000, N = 0, and R = 0. This would give a total exposure of 7,000,000, which is the highest possible according to the given data.

Table 8-2 Diamond Jewelers Is Trying to Determine How to Advertise in Advertise