Question

The amount of revenue in dollars, y, that Makayla receives from selling x posters is given by the equation y = 3x. The cost of producing x posters is given by the equation y = LaTeX: \frac{1}{3}x\:+\:2001 3 x + 200. How many posters does Makayla need to sell so that the cost and revenue are equal?

Group of answer choices

Answer 1

75 posters

Explanation:

Given

`y = 3x` ---- Revenue

`y = (x)/(3) + 200` --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e.
`3x = (x)/(3) + 200`

Collect like terms.

`3x - (x)/(3) = 200`

Multiply through by 3

`3(3x - (x)/(3)) = 200*3`

`9x - x = 600`

`8x = 600`

Divide both sides by 8

`(8x)/(8) = (600)/(8)`

`x = (600)/(8)`

`x = 75`