The Denver advertising agency promoting the new Breem dishwashing detergent want

Question

The Denver advertising agency promoting the new Breem dishwashing detergent wants to get the best exposure possible for the product within the $105,000 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 decides that at least 5 but no more than 20 television spots should be ordered, and that at least 5 newspaper ads should be contracted Develop the LP model, and using computer program to find optimal solution. Decision variables X1number of TV spots X2number of newspaper advertisements Vexpected exposure Aim of the objective function should be Objective Value Z- Subject to (least advertisements on TV) - C1 ? (most advertisements on TV)-C2 V (budget)-C3 V (least advertisements in newspaper) C X1. X2 20 The optimum solution is X(enter your response as a whole number) X2(enter your response as a whole number) Optimal solution value Z(enter your response as a whole number)

Explanation / Answer

The aim of the objective is to maximize the expected exposure

Objective value Z = 35000 X1 + 20000 X2

Subject to,

X1 >= 5 (least ad on TV - C1)

X1 <= 20 (most ad on TV - C2)

3000 X1 + 1250 X2 <= 105000 (budget - C3)

X2 >= 5 (least ad on newspaper - C4)

X1, X2 >= 0

Optimal solution

X1 = 5
X2 = 72
Z = 1615000

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.