STC= 150 + 20Q - 3Q^2 +.4Q^3 PLEASE SHOW WORK FOR H-J

1. Total fixed cost is $__150_______

2. Obtain the AFC function from (a) and write it here ______150/Q_______

3. Obtain the AVC function contained in the STC function and write the AVC function here _20 - 3Q + .4Q^2

4. Write here the MC function __20 - 6Q +1.2Q^2

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

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

-150/Q^2

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

.4Q=3 3/.4= 7.5 Q = 7.5

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

production efficiency is highest at this point because costs are being minimized at this point.

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. Why does the derivative of Short Run Total Cost (STC) equal the derivative of Total Variable Cost (TVC)? Stated another way, why does dSTC/dQ = dTVC/dQ? Explain in a couple of sentences (Hint: See Truett page 235 and footnote 16).

j. 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.