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Cassimy Evan HOMEWORK 3 .docx.doc - Evan Cassimy MGMT 651...

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Evan CassimyMGMT 6511/26/2020Professor Avijit SarkarHomework 31.(20 points) Chapter 4 Problem 1*Part AZ = 100,000x1+ 18,000x2+ 40,000x3Budget Constraints:2,000x1+ 300x2+ 600x3Minimum number of TV ads:x1>.10(x1+ x2+ x3).10x2+ .10x3+ - .90x1<0Maximum number of Radio ads:x2<.50(x1+ x2+ x3).50x1- .50x2+ .50x3>0Maximum number of TV ads:x1<10Maximum number of radio ads:x2<20Maximum number of newspaper ads:X3<10Non-negativity constraints:x1>0x2>0x3>0Submit your homework as one single attachment. Include POM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!1of11
Number of tv ads to be run=4Number of radio ads to be run=14Number of newspaper ads to be run=10Allocated tv ad budget=$8,000Allocated radio ad budget=$4,200Allocated newspaper budget=$6,000Total audience reacehd=1,052,000Submit your homework as one single attachment. Include POM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!2of11
Part BZ = 100,000x1+ 18,000x2+ 40,000x3Budget Constraints:2,000x1+ 300x2+ 600x3<18,300Minimum number of TV ads:x1>.10(x1+ x2+ x3).10x2+ .10x3+ - 0.90x1<0Maximum number of Radio ads:x2<.50(x1+ x2+ x3).50x1- .50x2+ .50x3>0Maximum number of TV ads:x1<10Maximum number of radio ads:x2<20Maximum number of newspaper ads:X3<10Non-negativity constraints:x1>0x2>0x3>0Total audience reached=1,057,130Audience contact increase=5,130when an extra$100is allocated to the promotional budget.2.(15 points) Chapter 4 Problem 8.Submit your homework as one single attachment. Include POM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!3of11
ConsiderX1= number of officers beginning work from 8:00 AM – NoonX2= number of officers beginning work from Noon – 4:00 PMX3= number of officers beginning work from 4:00 PM – 8:00 PMX4= number of officers beginning work from 8:00 – MidnightX5= number of officers beginning work from Midnight – 4:00 AMX6= number of officers beginning work from 4:00 AM – 8:00 AMObjective functionMinimize Z = X1+ X2+ X3+ X4+ X5+ X6Subject to constraintsX6+ X1>5X1+ X2>6X2+ X3>10X3+ X4>7X4+ X5>4X5+ X6>6Restriction VariableX1, X2, X3, X4, X5, X6>0Submit your homework as one single attachment. Include POM-QM input and output screenshots whereverapplicable.If you submit your homework as an MS-Excel document, make sure that it is properlyformatted to 8.5x11 page size!!4of11
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