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Mary Annette's Puppet Shop spends $10,000 per month on internet advertising to sell its toys. Google costs $.50 per click, Yahoo, $.30 per click, and

Mary Annette's Puppet Shop spends $10,000 per month on internet advertising to sell its toys. Google costs $.50 per click, Yahoo, $.30 per click, and Facebook, $.40 per click. The CEO wants to make sure the company spends at least 25% of its budget on each vendor. Each click on Google yields $3 in profit, Yahoo, $2, Facebook, $1. The Shop must sign a contract specifying the maximum number of clicks it will buy per month. What is the maximum number of clicks it should buy from each vendor to maximize its profits? (Hint: If X1 = clicks on Google, X2 = clicks on Yahoo, X3 = clicks on Facebook, then the constraint for Google is shown below. You can see a similar sort of constraint in the KT Media Mix problem #8 in the Lecture Notes.)
Hint on Google constraint:
Dollars Spent on Google: Total Dollars spent overall:
Google $.50*X1 >=.25($.50X1+$.30X2+$.40*X3) becomes
0.375 -0.075 -0.1 >= 0

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