Question 156478
You are going to sell {{{x}}} shirts.


It costs you $5000 plus $11 for each shirt, so the cost function is:


{{{C(x)=5000 + 11x}}}


You are going to sell each shirt for $16, so the revenue function is:


{{{R(x)= 16x}}}


The profit is the difference between the revenue and the cost, so:


{{{P(x) = R(x) - C(x)}}} or


{{{P(x) = 16x - (5000 + 11x)}}}
{{{P(x) = 5x - 5000}}}


You break even when your profit is zero, that is {{{P(x)=0}}}, so:


{{{5x-5000=0}}}
{{{5x=5000}}}
{{{x=1000}}}


Hence, you break even when you sell {{{1000}}} shirts.