In: Economics
If TC =1000 Q – 30 Q2 + Q3, with MC = 1000 - 60Q + 3Q 2, then the quantity at which ATC is minimized is
a. 0
b. 15
c. 5
d. 10
Answer is 15 units
ATC = TC / Q
ATC = 1000 – 30 q + q2
ATC will be minimum when derivative of ATC is zero
= -30 + 2q = 0
2q = 30
Q = 15