Question: The Denver advertising agency promoting the new Breem dishwashing detergent wants to get the best exposure possible for the product within the $120,000 advertising

The Denver advertising agency promoting the new Breem dishwashing detergent wants to 

get the best exposure possible for the product within the $120,000 advertising 

budget ceiling placed on it. To do so, the agency needs. to 

 


The Denver advertising agency promoting the new Breem dishwashing detergent wants to get the best exposure possible for the product within the $120,000 advertising budget ceiling placed on it. To do so, the agency needs. to decide how much of the budget to spend on each of its two most effective media: (1) television spots during the afternoon hours and (2) large ads in the city's Sunday newspaper Each television spot costs $3,000, each Sunday newspaper ad costs $1.250 The expected exposure, based on industry ratings, is 35,000 viewers for each TV commercial and 20,000 readers for each newspaper advertisement. The agency director, Delprah Kellogg, knows from experience that it is important to use both media in order to reach the broadest spectrum of potential Breem customers. She decides that at least 10 but no more than 20 television spots should be ordered, and that at least 10 newspaper ads should be contracted. Develop the LP model, and using graphical solution, determine the optimal solution Decision variables X, number of TV spots X2 $$ 8 8 8 8 8 8 30- 40- 60- 20 100- 13 Q C2 20 10 CA Q B Decision variables X, number of TV spots X2 number of newspaper advertisements C1 C2 30-+ Aim of the objective function should be expected exposure 00- Objective Value Z TO Subject to (least advertisements on TV)-C 50- (most advertisements on TV)-C 2X 50- 40- (budget)-C X, X 20 (least advertisements in newspaper) - C Constraints C, C Cy and C, have been drawn on the graph to the right C4 2 X = X = Optimal solution value 'Z' = (enter your response as a whole number) (enter your response as a whole number) X. X, 20 (least advertisements on TV)-C (most advertisements on TV) - C (budget)-C3 (least advertisements in newspaper)-C4 Constraints, C. C. C3. and C4 have been drawn do the graph to the right Using the point drawing tool, locate all the corner points for the feasible area on the graph The optimum solution is 100- a C1 C2 90- a 80 E 60- 50- 40 50 20- 10 (enter your response as a whole number C4 Click the graph, choose a tool in the palette and follow the instructions to create your graph

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