**The demand for product Q is given by Q = 385 - P and the total cost of Q by**

STC = 3000 + 40Q -5Q^{2 }+ 1/3Q^{2}

**a. Find the price function and then the TR function. See Assignment 3 or 4 for an example.**

**b. Write the MR and MC functions below. Remember: MR = dTR/dQ and MC = dSTC/DQ. See Assignment 5 for a review of derivatives.**

**c. What positive value of Q will maximize total profit? Remember, letting MR = MC signals the objective of total profit maximization. Solve MR = MC for Q. The value of Q you get should not be zero or negative.**

**d. Use the price function found in (a) to determine the price per unit that will need to be charged at the Q found in (c). This will be the price you should ask for the total profit maximizing quantity.**

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#### Top Answer

Price function and TR function P = 385 - Q TR = 385Q -... View the full answer

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#### Other Answers

a) Price function is P=385-Q TR... View the full answer