a) Aim of the objective function should be (Maximize or minimize) expected exposure b) Objective val

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 citys 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 10 but no more than 25 television spots should be ordered, and that at least 5 newspaper ads should be contracted. Develop the LP model, and using graphical solution, determine the optimal solution Decision variables: x1 number of TV spots X2 - number of newspaper advertisements

a) Aim of the objective function should be

(Maximize or minimize) expected exposure

b) Objective value Z =

bb) what is objectve value? why do we need to know this?

c) subject to:

____ least advertisements on TV – C1

____ most advertisement on TV – C2

____ budget – C3

____ least advertisements in newspaper – C4

d) The optimum solution is:

X1 =

X2=

Optimal solution value ‘Z’ = _____ (enter as whole number)

e) what are the 4 corner points?

F) plot constraints on a graph

Please show all work – I am trying to understand the problem.

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 10 but no more than 25 television spots should be ordered, and that at least 5 newspaper ads should be contracted. Develop the LP model, and using graphical solution, determine the optimal solution Decision variables: x1 number of TV spots X2 – number of newspaper advertisements

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