# Egan, S_MGMT 651_hw3.pdf - Running head: HOMEWORK 3 MGMT...

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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
Running head: HOMEWORK 36of13MinX1 + x2 + x3 + x4 +x5 + x6 < 38X6 + X1 < 5X1 + X2 < 6X2 + X3 < 10X3 + X4 < 7X4 + X5 < 4X5 + X6 < 63 officers 8am; 3 officers noon; 7 officers 4pm; 0 officers 8pm; 4 officers 12am; 2 officers 4am;for a total of 19 officers
Running head: HOMEWORK 37of134.(30 points) Chapter 4Case Problem1.Budget < 279,000Advertising mediaExposure rating peradAnew customers peradCost per adTV904000\$10,000Radio252000\$3,000Newspaper101000\$1,000TVT1 = 90 exposure, 4000 customer < 10 adsT2 = 55 exposure, 1500 customers > 10 adsRadioR1 = 25 exposure , 2000 customers < 15R2 = 20 exposure, 1200 customers > 15NewspaperN1 = 10 exposure, 1000 customers < 20N2 = 5 exposure, 800 customers > 20Max exposure90T1 + 55T2 + 25R1 + 20R2 + 10N1 + 5N1ConstraintsT1 < 10R1 < 15N1 < 204000T1 + 1500T2 + 2000R1 + 1200R2 + 1000N1 + 800N2 > 100,0002R1 + 2R2 – T1 – T2 > 0T1 + T2 < 2010000T1 + 10000T2 > 140,0003000R1 + 3000R2 < 99,0001000N1 + 1000N2 > 30,00010,000T1 + 10000T2+ 3000R1 + 3000R2+ 1000N1 + 1000N2 < 279,000

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