Question: 3. (25 pts) Use the Simplex method to find the optimal solution to the problem below. Advertising: A department store has up to $20,000 to

3. (25 pts) Use the Simplex method to find the optimal solution to the problem below. Advertising: A department store has up to $20,000 to spend on television advertising for an upcoming sale. All ads will be placed with one television station. A 30-second ad on daytime TV costs $1,500 and is viewed by 12,000 potential customers. A 30- second ad on prime-time TV costs $2,000 and is viewed by 15,000 potential customers. And a 30-second ad on late-night TV costs $1,000 and is viewed by 10,000 potential customers. If the total number of ads placed cannot exceed 12, how many ads should be placed in each time period in order to maximize the number of potential customers? How many potential customers will see the ads? Please show me at least the following work: - all decision variables, x1, x2...etc. and indicate what each variable represents - the objective function equation - the initial simplex matrix - the final solution matrix Maxpi - the answers to the two questions asked for this problem X1 Xz X3 S, Sz P XI = 1.5 2 1 1 120 X2 = 1010 1 12 X 3 = - 12 -15 -10 0 0 1

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