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

Answer:

75 posters

Step-by-step explanation:

Given

$y = 3x$ ----  Revenue

$y = \frac{x}{3} + 200$ --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e. $3x = \frac{x}{3} + 200$

Collect like terms.

$3x - \frac{x}{3} = 200$

Multiply through by 3

$3(3x - \frac{x}{3}) = 200*3$

$9x - x = 600$

$8x = 600$

Divide both sides by 8

$\frac{8x}{8} = \frac{600}{8}$

$x = \frac{600}{8}$

$x = 75$