A manufacturer of DVD players has weekly fixed costs of $1540 and variable costs of $12.50 per unit for one particular model. The company sells this model to dealers for $19.50 each.

(a) For this DVD player, write the function for weekly total costs.

(b) Write the function for total revenue.

(c) Write the function for profit.

(d) Find C(200), R(200), and P(200) and interpret each answer.

(e) Find C(250), R(250), and P(250) and interpret each answer.

(f) Find the marginal profit and write a sentence that explains its meaning.