NEED HELP WITH E THRU I

**Use the function below (whose parameters qualify it as a STC function) to answer the questions. See the text p. 244 for a representative figure.**

STC = 50 + 111Q - 7Q^{2} + .33Q^{3}

**a. Total fixed cost is $____50_____**

**b. Obtain the AFC function from (a) and write it here __AFC = FC/q = 50/q**

**c. Obtain the AVC function contained in the STC function and write the AVC function here**

**VC= 111Q - 7Q**^{2}** + 0.33Q**^{3}

**AVC = VC/q = 111 - 7Q + 0.33Q**^{2}

**d. Write here the MC function _MC = dSTC/dQ = 111 - 14Q + 0.99Q**^{2}

**e. Find the value which AFC approaches as Q gets very large. **

**Also write sentence or two explaining what this implies for fixed costs per unit (AFC) as production quantities get ever larger.**

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**f. Find the value of Q at which AVC is a minimum.**

**g. Is productive efficiency at the value in (f) greatest or least?**

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**h. Demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum. Hint: The level of Q you found in (f) is where AVC is a minimum. If you plug this level of Q into AVC (see c) and also into MC (see d) the two outcomes should be the same if SMC crosses AVC at this level of Q.**

**i. Find the value of Q where increasing returns ceases and diminishing returns begins. Hint: Diminishing returns begins at the level of Q where MC is a minimum.**