A company that makes t-shirts has a start up cost of $19,503.00. It costs the company $3.77 to make each t-shirt. The company charges $4.31 for each t-shirt. Let x denote the number of t-shirts produced.

a) Write the cost function C(x), for this company.

b) Write the revenue function R(x), for this company.

c) What is the minimum number of t-shirts that the company must produce and sell to make profit? i.e how many units must be produced and sold for the company to break even. (please round the number)

d) Write the profit function, P(x), from producing and selling x t-shirts.