College algebra help

Question

Peoples Garment Company makes and sells tee shirts featuring now defunct sports teams from Chicago's past. Assume the company's fixed monthly cost are $3,500 and each t-shirt costs $16 to produce. The tee shirts sell for $30 each. a. Write a equation for the total cost, C as a function of x the number of t- shirts produced in one month. B. Write the equation for revenue R as a function of x the number of tee-shirts sold. c. Write the profit p as function of t-shirts produced and sold in one month. D. Find and interpret p (100) E how many t-shirts must be produced and sold in a month in order to break even

Answer 1

a. C=3500+6x

b. R=30x

c. P=R-C=24x-3500

d. the break even production rate is when the profit is just equal to 0 i.e. 24x-3500 =0 so x=3500/34=146 shirts/mo

 

Make sense?

 

Jim