A firm has the following total-cost and demand functions:

3. A firm has the following total-cost and demand functions: C = Q3 -7Q2 + 171Q+50 Q = 100 - P (a) Does the total-cost function satisfy the coefficient restrictions of (9.5)? (b) Write out the total-revenue function R in terms of Q. (c) Formulate the total-profit function x in terms of Q. (d) Find the profit-maximizing level of output Q*. (e) What is the maximum profit? Note: the coefficient restrictions of (9.5) are a, c, d>0 b