Suppose a company that operates in a competitive market and whose short-term (short-run) production costs are given by the function:

C(q) = 92 + 109 + 5, where "q" is its level of production and "C (q)" the total cost.

Suppose, in addition, that the price of the product is p = 20:

a) Calculate the production and the equilibrium profit of the company, as well as its functions of average cost, fixed cost, and marginal cost;

b) Graphically indicate the supply curve of the company.