Chapter 4 Problem 31 - Part A Let T:Represent TV Commercial...

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Part A Let T:Represent TV Commercial Let N= Newspaper ad Let R: Represent Radio station Commercial T N R Solution 1 1 1 OF: Minimize Costs 15,000 4,000 6,000 25,000 Constraints: 2x Radio than newspaper -2 1 -1 >= 0 at least 100,000 customers 25,000 10,000 15,000 50,000 >= 100,000 twice as money young as seniors -5,000 -11,000 6,000 -10,000 >= 0 30% of audience is female 7,500 1,000 4,500 13,000 >= 0 Max Newspaper ads 7 1 1 <= 7 Part B Let T:Represent TV Commercial Let N= Newspaper ad Let R: Represent Radio station Commercial T N R Solution 0 1 6 OF: Minimize Costs 15,000 4,000 6,000 40,000 Constraints: 2x Radio than newspaper -2 1 4 >= 0 at least 100,000 customers 25,000 10,000 15,000 100,000 >= 100,000 twice as money young as seniors -5,000 -11,000 6,000 25,000 >= 0 30% of audience is female 7,500 1,000 4,500 28,000 >= 0 Max Newspaper ads 7 1 1 <= 7 Part C Let T:Represent TV Commercial Let N= Newspaper ad Let R: Represent Radio station Commercial Let R2: Represent Radio Station 2 commercial T N R R2 Solution 0 1 6 0 OF: Minimize Costs 15,000 4,000 6,000 7,500 40,000 Constraints: 2x Radio than newspaper -2 1 1 4 >= at least 100,000 customers 25,000 10,000 15,000 18,000 100,000 >= twice as money young as seniors -5,000 -11,000 6,000 0 25,000 >= 30% of audience is female 7,500 1,000 4,500 3,600 28,000 >= Max Newspaper ads 7 1 1 <= No Effect as the minimization of the costs stayed the same
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seniors young Total tv 10,000 15,000 25,000 newspaper 7,000 3,000
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