Question

PLEASE HELP!!!!!!!! If the company expects to sell 800 widgets this month, what price must they sell them for to break

Answer 1

Solving for c:

Start with

$P=cw-(1500+2w)$

add 1500+2w to both sides:

$P+1500+2w=cw$

Divide both sides by w:

$\dfrac{P+1500+2w}{w}=c$

Prize to break even:

If they break even, the profit is zero, and since we know that w=800, the cost is

$\dfrac{P+1500+2w}{w}=c \implies c=\dfrac{0+1500+2\cdot 800}{800}=\dfrac{3100}{800}=\dfrac{31}{8}$