Solve this linear programming equation

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You need help with finding out this equation to help solve this linear programming equation.

Tom is allocated $300,00 to these advertising alternatives in a way to maximize the impact achieved. Tom wants to derive at least 20% of total advertising impact from evening TV adverstisements.

Can you help me come up with an equation that can solve this problem using the information below?

Once I have that equation, I will run the analytic problem solver.




Impact Cost
Advertising Medium Units Min Max Per Unit Total Per Unit Total
Half-page, Daily paper 46.0 24 48 55 2,530 $800 $36,800
Full-page, Daily paper 2.0 2 48 75 150 $1,400 $2,800
Half-page, Sunday paper 6.0 0 8 65 390 $1,200 $7,200
Full-page, Sunday paper 2.0 2 8 80 160 $1,800 $3,600
Daytime TV spot 29.6 28 84 85 2,513 $2,500 $73,900
Evening TV spot 28.0 28 56 100 2,800 $3,500 $98,000
Highway Billboards 10.0 3 10 35 350 $750 $7,500
15 second Radio spot 140.0 56 140 45 6,300 $150 $21,000
30 second Radio spot 140.0 56 140 55 7,700 $300 $42,000
Half-page, magazine 9.0 0 12 50 450 $500 $4,500
Full-page, magazine 3.0 3 12 60 180 $900 $2,700
Key Totals: Units Min Max Total: 23,523 Total: $300,000
Daily paper ads 48.0 24 48

Budget: $300,000
Sunday paper ads 8.0 2 8



Magazine ads 12.0 3 12

Reference no: EM131873076

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