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d to h only, please. thank you I. Johannesburg Beer has allotted $10,000 for radio advertising in Gotham City and must determine the placement of
d to h only, please. thank you
I. Johannesburg Beer has allotted $10,000 for radio advertising in Gotham City and must determine the placement of spot ads 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. Sales increase Station Cost per spot per spot Spots available Format KBAT 100 300 30 Top 40 WOK 50 120 Unlimited Golden oldie WROB 75 150 Unlimited Golden oldie KPOW 150 400 40 Top 40 At least 25% of the spots must be placed with golden-oldie stations. a) Determine the maximum increase in sales that the company can achieve. b) How many spots will be bought from WROB station? c) How much will be spent on spots bought from KPOW? KBAT The following demographics apply to Johannesburg Beer's radio advertising Female listeners Male listeners High income Low income Station listeners listeners 50,000 75,000 40,000 85,000 WJOK 15,000 10,000 20,000 5,000 WROB 23,000 19,000 5,000 37,000 KPOW 175,000 200,000 250,000 125,000 These are averages. Each category has an exposure goal. Exposure is the sum of the products obtained by multiplying the number of listeners times the number of spots. The following goals apply: Goal 1: Female exposure should be at least 1,000,000. Goal 2: Male exposure must not be greater than 500,000. Goal 3: High-income exposure should be at least 1,500,000. Goal 4: Low-income exposure should not exceed 500,000. In achieving the goals, all of the original constraints must be satisfied. Violations of the goals are equally serious, so that coefficients of 1 may be used on the applicable goal deviation variables. d) If the objective of maximizing sales increase were replaced by the above goals, how much increase in sales could be achieved? e) Which goal(s) could be satisfied? Which goal(s) could not be met? How many spots will be bought from WJOK? How much will be spent on spots from KBAT:| I. Johannesburg Beer has allotted $10,000 for radio advertising in Gotham City and must determine the placement of spot ads 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. Sales increase Station Cost per spot per spot Spots available Format KBAT 100 300 30 Top 40 WOK 50 120 Unlimited Golden oldie WROB 75 150 Unlimited Golden oldie KPOW 150 400 40 Top 40 At least 25% of the spots must be placed with golden-oldie stations. a) Determine the maximum increase in sales that the company can achieve. b) How many spots will be bought from WROB station? c) How much will be spent on spots bought from KPOW? KBAT The following demographics apply to Johannesburg Beer's radio advertising Female listeners Male listeners High income Low income Station listeners listeners 50,000 75,000 40,000 85,000 WJOK 15,000 10,000 20,000 5,000 WROB 23,000 19,000 5,000 37,000 KPOW 175,000 200,000 250,000 125,000 These are averages. Each category has an exposure goal. Exposure is the sum of the products obtained by multiplying the number of listeners times the number of spots. The following goals apply: Goal 1: Female exposure should be at least 1,000,000. Goal 2: Male exposure must not be greater than 500,000. Goal 3: High-income exposure should be at least 1,500,000. Goal 4: Low-income exposure should not exceed 500,000. In achieving the goals, all of the original constraints must be satisfied. Violations of the goals are equally serious, so that coefficients of 1 may be used on the applicable goal deviation variables. d) If the objective of maximizing sales increase were replaced by the above goals, how much increase in sales could be achieved? e) Which goal(s) could be satisfied? Which goal(s) could not be met? How many spots will be bought from WJOK? How much will be spent on spots from KBAT:|Step by Step Solution
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