Answer:
Descision
Explanation:
If u where to switch out the word for theft it wouldnt coralate same for guilty or jury the only answer that would make sense would be decision
An advertising company wishes to plan its advertising strategy in three different media – television, radio and magazines. The purpose of advertising is to reach as large a number of potential customers as possible. Following data has been obtained from market survey:
Television Radio Magazine I Magazine II
Cost of an advertising per unit Br30,000 Br20,000 Br15,000 Br10,000
No. of potential customers reached per unit 200,000 600,000 150,000 100,000
No. of female customers reached per unit 150,000 400,000 70,000 50,000
The company wants to spend no more than br450, 000 on advertising. Following are the further requirements that must be met:
(i) at least 1million exposures take place among female customers
(ii) advertising on magazines be limited to br150,000
(iii) at least 3 advertising units be bought on magazine I and 2 units on magazine II and
(iv) the number of advertising units on television and radio should each be between 5 and 10
Formulate an LPM for the problem
The Formulated LPM for the problem above is given below.
What is the Formulated LPM ?This is a linear programming problem (LPM) that can be formulated as follows:
Objective function:
Maximize the number of potential customers reached (Z)
Z = 200,000x1 + 600,000x2 + 150,000x3 + 100,000x4
where:
x1 = number of advertising units on television
x2 = number of advertising units on radio
x3 = number of advertising units on Magazine I
x4 = number of advertising units on Magazine II
Constraints:
x1 + x2 + x3 + x4 <= 10 (the total number of advertising units should be between 5 and 10)x1,x2 >= 5 (the number of advertising units on television and radio should each be between 5 and 10)x3 >= 3 (at least 3 advertising units should be bought on Magazine I)x4 >= 2 (at least 2 units should be bought on Magazine II)30000x1 + 20000x2 + 15000x3 + 10000x4 <= 450000 (the total cost should not exceed br450, 000)150,000x1 + 400,000x2 + 70,000x3 + 50,000x4 >= 1,000,000 (at least 1 million exposures should take place among female customers)x3+x4 <= 15 (advertising on magazines be limited to br150,000)x1, x2, x3, x4 >=0 (non-negativity)Therefore, solution for this LPM will give the number of advertising units that the company should buy for each medium to reach the maximum number of potential customers while meeting the given constraints and within the budget.
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