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Running head: HOMEWORK 31of13MGMT 651 – Homework 3Stephanie EganUniversity of RedlandsSchool of Business
Running head: HOMEWORK 32of131.(15 points) Chapter 4 Problem 1.Radio ads must not exceed 50% of total ads3 variables – TV, newspaper, radior < .5 (t + r + n)r < .5t + .5r + .5n-.5t + .5r - .5n < 0TV ads must be at least 10% of total adst > .1(t + r + n)ConstraintTVRadioNewspaperAudience100,00018,00040,000Cost$2000$300$600Max media usage102010a) Max total audience100,000t + 18,000r + 40,000n$2000t + $300r + $600n < $18,200t < 10r < 20n < 10.1t - .1r - .1n < 0-.5t + .5r - .5n < 0
Running head: HOMEWORK 33of13There should be 4 TV messages, 14 radio messages and 10 newspaper messages with a totalaudience of 1,052,000 reached and a total budget of $18,200.b)
Running head: HOMEWORK 34of13Audience reached would increase to 1,057,130, which is an increase of 5,130 audience members.2.(10 points) Chapter 4 Problem 6.Labor hoursProductProfit/unitDept. ADept. B1$256122$20810900 hours available laborx1 = amount of product 1 to makex2 = amount of product 2 to makex3 = number of hours for Dep. Ax4 = number of hours for Dep. BMax25x1 + 20x2x3 + x4 < 9006x1 + 8x2 – x3 < 012x1 + 10x2 – x4 < 0
Running head: HOMEWORK 35of133.(15 points) Chapter 4 Problem 8x1 = number of officers at 8amx2 = number of officers at noonx3 = number of officers at 4pmx4 = number of officers at 8pmx5 = number of officers at 12amx6 = number of officers at 4am