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PLEASE HELP ME!!!!!!

Anna is considering writing and publishing her own book. She estimates her revenue equation as R= 6.53x, and her cost equation as C = 10,125 + 1.11x, where x is the number of books she sells.

Find the minimum number of books she must sell to make a profit.

2 Answers

0 votes

Answer:

187 books

Explanation:

To find the minimum number of books she must sell to make a profit, we need to find the point where her revenue is greater than her cost, that is, R(x) > C(x).

Let's subtract the cost equation from the revenue equation to obtain R(x) - C(x):

R(x) - C(x) = 6.53x - (10,125 + 1.11x) = -10,125 + 5.42x

To make a profit, R(x) - C(x) must be greater than 0, so we can write:

-10,125 + 5.42x > 0

Adding 10,125 to both sides of the inequality, we get:

5.42x > 10,125

Finally, dividing both sides by 5.42, we get:

x > 186.6

So, the minimum number of books Anna must sell to make a profit is 187 books (rounded up to the nearest integer).

User EpicAdv
by
7.2k points
5 votes

Answer:

1869

Explanation:

She needs R to be greater than C.

R > C

6.53x > 10125 + 1.11x

5.42x > 10125

x > 1868.1

User Thetoolman
by
7.0k points