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# Statistics - problem homework set

## Question 1 of 20: A toy store is opening a new location and need...

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### Statistics - problem homework set

Question 1 of 20:

A toy store is opening a new location and needs to advertise. They want to reach as many customers as possible per month. The total budget is \$20,000. Internet advertising is to be emphasized; at least 15 ads need to be online, but no more than \$12,000 can be spent on internet advertising. (I = internet ad). The maximum number of times an ad can be run is in the table. How many of each ad should be run per month to maximize customers reached and meet all constraints?

Below you'll find only solution 1. Check the email connected to your facebook account to see all of the completed problems.

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Solution_1

Price (\$)
Maximum Available
Customers Reached
Newspaper
1000
7
4000
600
8
2000
TV
1400
10
3000
800
15
1500
200
10
1000
1800
6
6000

Step 1 of 1

a)
Here the decision variables of the problem is

= Price can be spent on internet advertising

= The Maximum number of times an ad can be run

Max Z = 20000 +15

Subject to
1000 + 7 4000
600 + 8 2000
1400 + 10 3000
800 + 15 1500
200 + 10 1000
1800 + 6 6000

0, 0

b)

Price (\$)
Customers Reached
Maximum Available
Newspaper
1000
4000
7
600
2000
8
TV
1400
3000
10
800
1500
15
200
1000
10
1800
6000
6

From the result of the excel solver we see that all constraints and optimality conditions are satisfied.