The Win Big Gambling Club promotes gambling junkets from a large Midwestern city to casinos in the Bahamas. The club has budgeted up to $8,000 per week for local advertising. The money is to be allocated among four promotional media: TV spots, newspaper ads, and two types of radio advertisements. Win Bigs goal is to reach the largest possible high-potential audience through the various media. The following table presents the number of potential gamblers reached by making use of an advertisement in each of the four media. It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week.

Medium	Audience Reached Per AD	Cost Per Ad	Maximum Ads
Tv spot (1 minute)	5000	800	12
Daily newspaper(Full page ad)	8500	925	5
Radio spot (30 seconds primetime)	2400	290	25
Radio spot (1 minute)	2800	380	20

Win Bigs Contractual arrangements require that at least 5 radio spots be placed each week. To ensure a broad scoped promotional campaign, management also insists that no more than $1,800 be spent on radio advertising every week.

Answer the following questions (a-i) using the output please be brief. If there are two possible answers one will suffice. Where necessary a range analysis must be shown. a) What is the optimal solution in words?

b) The budget was reduced to 7500.00. Evaluate the effect.

c) Winbig can now buy a maximum of 7 newspaper ads. Evaluate the effect? Explain

d) Assume the audience for news papers ads went down by 2500. Evaluate the effect?

e) The company decides to do one afternoon radio spot. Evaluate the effect

f) What is the situation maximum radio budget is now 1500 instead of 1800?

g) What are the allowable values within which the budget can vary without affecting the shadow price?

h) Is the problem degenerate? Explain!

i) Are there alternative optima in this problem? Explain

j) What value should be in the slack column that is given by ????

Objective: Maximize audience coverage = 5,00 subject to + 8,500Xy + 2.400x, + 2.800x, X 12 (maximum TV spots/week) (maximum newspaper ads/week) X3 X4 25 (maximum 30-second radio spots/week) 20 (maximum 1-minute radio spots/week) $8,000 (weekly advertising budget) 800x925x2 + 290X3 +380X4 Xy+X.25 38OX4$1,800 (minimum radio spots contracted) (maximum dollars spent on radio) 290X Objective: Maximize audience coverage = 5,00 subject to + 8,500Xy + 2.400x, + 2.800x, X 12 (maximum TV spots/week) (maximum newspaper ads/week) X3 X4 25 (maximum 30-second radio spots/week) 20 (maximum 1-minute radio spots/week) $8,000 (weekly advertising budget) 800x925x2 + 290X3 +380X4 Xy+X.25 38OX4$1,800 (minimum radio spots contracted) (maximum dollars spent on radio) 290X