oneworK: Module B HW core: 0 of 1 pt 4 of 11 (4 complete) HW Sco structor-create
ID: 424299 • Letter: O
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oneworK: Module B HW core: 0 of 1 pt 4 of 11 (4 complete) HW Sco structor-created question The Denver advertising agency promoting the new Breem dishwashing detergent wants to get the best exposure possible for the product within the $100,000 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, Deborah Kellogg, knows from experience that it is important to use both media in order to reach the broadest spectrum of potential Breem customers. She C1 C2 90- decides that at least 5 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 computer program to find optimal solution. Decision variables x1 number of TV spots X2 number of newspaper advertisements CA 60 70 80 90 Aim of the objective function should be Objective Value Z- Subject to expected exposure X1 ar (least advertisements on TV) -C (most advertisements on TV)-C2 (budget)-C V (least advertisements in newspaper) C4 Enter your answer in the edit fieids and then click Check Answer ing All parts showing Clear AExplanation / Answer
Aim of the objective function should be maximizing expected exposure.
Objective value z = 35,000x1+20,000x2
Subject to:
X1>=5 (least advertisements on TV)
X1<=20 (most advertisements on TV)
3,000X1 + 1,250X2<100,000 (budget)
X2>=10 (least advertisements in newspaper)
Solving, using the graphical method, the solution obtained is:
x1 = 5
x2 = 68
Optimal value of z = 1,535,000
All constraints are satisfied.
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