Answer:
The actual cost incurred in manufacturing:
- the 111st oven is $114.07
- the 221st oven is 122.71
- the 311st oven is $140.59
The marginal cost when x = 110, 220, and 310 is
Step-by-step explanation:
We know that the daily cost function of producing microwave ovens is given by
(a) The actual cost incurred in manufacturing the 111st oven is the difference between the total cost incurred in manufacturing the first 111 ovens and the total cost of manufacturing the first 110 ovens:
For the 221st
For the 311st
(b) If C(x) is a total cost function, then the marginal cost function is defined to be its derivative C'(x).
We need to find the derivative of the total cost function:
The marginal cost when x = 110, 220, and 310 is given by
