19 Nov 2021
Problem 43a
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
19 Nov 2021
Given information
1. is the cost of producing units of a commodity
2. Average cost per unit is .
3. Average cost reaches minimum value
Step-by-step explanation
Step 1.
We have
Now when we have
implies having a critical value at
Therefore for a local minima of we can state from (1) which is the marginal cost of an unit is same as which is the average cost.