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You are the marketing director for a company that manufactures bodybuilding supplements and you are planning to run ads in Sports Illustrated and GQ Magazine. Based on readership data, you estimate that each one-page ad in Sports Illustrated will be read by 630,000 people in your target group, while each one-page ad in GQ will be read by 190,000. You would like your ads to be read by at least three million people in the target group and, to ensure the broadest possible audience, you would like to place at least three full-page ads in each magazine. Draw the feasible region that shows how many pages you can purchase in each magazine. (Let x be the number of full-page ads in Sports Illustrated and let y be the number of full-page ads in GQ Magazine.)

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Answer:

#See solutions for details.

Step-by-step explanation:

let [tex]x[/tex] denote number of full page SI ads, and [tex]y[/tex] full page in GQ. At least 3 ads for each:

[tex]x\geq 3, \ \ y\geq 3[/tex]

Each SI ad is read by [tex]\approx 630,000[/tex] and [tex]\approx 190,000[/tex] for GQ

This can be expressed using the expression:

[tex]630,000x+190,000y\geq 3,000,000[/tex]

Using the [tex]desmos.com[/tex] calculator, we'll graph the opposite of this inequalities:

[tex]x\leq 3\\y\leq 3\\630,000x+190,000y\leq 3,000,000[/tex]

Hence the region not shaded is your region of feasibility.

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