Elliot is promoting a concert and needs to print posters to put up aro und the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster. How can Elliot determine which plan will be cheaper?

Question

29-01-2021
Mathematics

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Elliot is promoting a concert and needs to print posters to put up aro und the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster. How can Elliot determine which plan will be cheaper?

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ChoiSungHyun ChoiSungHyun · Answer 1 · 2021-01-29T00:09:59+01:00

Step-by-step explanation:

Each of the printing companies have their own advantages. APlus Printing has a lower setup fee and PrintMore has a lower cost for each poster printed. We can find out at what number of posters are the 2 costs the same.

Let x be the number of posters.

We have $20 + $0.1x = $55 + $0.05x.

=> $0.05x = $35

=> x = 700

Hence we can give a conclusion:

If Elliot is printing less than 700 posters, he should use APlus Printing.
If Elliot is printing more than 700 posters, he should use PrintMore.
If Elliot is printing exactly 700 posters, he should use either company.