The Fashion Store has $4000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost$600 a piece, with a maximum of 6 available each month. Approximately 1000 women will see each newspaper ad, 600 will hear each radio ad, and 15,000 will see each TV ad. How much of each type of advertising should be usedif the store wants to maximize exposure?How many newspaper ads should be placed?

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Asked Oct 22, 2019
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The Fashion Store has $4000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost
$600 a piece, with a maximum of 6 available each month. Approximately 1000 women will see each newspaper ad, 600 will hear each radio ad, and 15,000 will see each TV ad. How much of each type of advertising should be used
if the store wants to maximize exposure?
How many newspaper ads should be placed?
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The Fashion Store has $4000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $600 a piece, with a maximum of 6 available each month. Approximately 1000 women will see each newspaper ad, 600 will hear each radio ad, and 15,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure? How many newspaper ads should be placed?

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Expert Answer

Step 1

To find the numbers of advertisements in each category which together yield maximum exposure

Step 2

Let N , R and T denote the number in each category ( Newspaper, Radio, TV)....

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N,R.T20, (integers) N 20, R 30,T6 200N 100R 600T < 4000 (I) (2) 2N R+6T40 (3) To max imize 1000N 600R+150007 (4)

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