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(a) Blitz Beer has allotted $10,000 for radio advertising in Gotham City and must determine the placement of spot advertisements that will maximize increased

 

(a) Blitz Beer has allotted $10,000 for radio advertising in Gotham City and must determine the placement of spot advertisements that will maximize increased sales. Top-40 stations attract a heavier beer-drinking audience than golden-oldie stations do, but top- 40 stations also charge more for each spot. The following data apply. Station Cost per spot $100 A B D $50 $75 $150 Sales increase per spot Spots available $300 30 $120 $150 $400 unlimited unlimited 40 Format Top-40 Golden-oldie Golden-oldie Top-40 At least 25% of the spots must be placed with golden-oldie stations. Formulate Blitz's problem as a linear programming problem. (15 marks) (b) (i) Find the optimal solution of the following Linear Programming problem, using Simplex method. Maximize -x, +3x+2x,

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