Jenna wants to open a salon and must choose a location. At Location A, she will pay $1200 per month and charge $45 per haircut. At Location B, she will pay $1800 per month and charge $60 per haircut. Write an equation and solve it to determine how many haircuts result in the same profit at either location.

Question

Mathematics

Elvis Baxter

14 September, 23:31

Jenna wants to open a salon and must choose a location. At Location A, she will pay $1200 per month and charge $45 per haircut. At Location B, she will pay $1800 per month and charge $60 per haircut. Write an equation and solve it to determine how many haircuts result in the same profit at either location.

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Answers (1)

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Charlie Mcintyre · Answer 1

Profit=revenue-cost

pA (m, h) = 45h-1200m

pB (m, h) = 60h-1800m

Profit is the same when pA=pB so

60h-1800m=45h-1200m

15h=600m

h=40m

So 40 haircuts per month at either location results in the same profit of $600 per month.