Concept explainers
a)
To evaluate: the model for the average cost per unit produced.
a)
![Check Mark](/static/check-mark.png)
Answer to Problem 57E
Model for the average cost per unit produced is given by
Explanation of Solution
Given:
A company’s cost function for producing a model of digital binoculars is given as
Cost function is given as,
Average cost is given by,
So,
Model for the average cost per unit produced is given by
b)
To evaluate: the average costs per unit when x = 1000 and x =5000.
b)
![Check Mark](/static/check-mark.png)
Answer to Problem 57E
The average costs per unit when x = 1000 is 52 dollars and the average costs per unit when x = 5000 is 188 dollars .
Explanation of Solution
Given:
A company’s cost function for producing a model of digital binoculars is given as
Cost function is given as,
Average cost is given by,
So,
Average costs per unit when x = 1000,
Average costs per unit when x = 5000,
So,
The average costs per unit when x = 1000 is 52 dollars and the average costs per unit when x = 5000 is 188 dollars .
c)
To evaluate: the limit of the average cost function as x approaches infinity.
c)
![Check Mark](/static/check-mark.png)
Answer to Problem 57E
The limit of average cost function is 34.
Explanation of Solution
Given:
A company’s cost function for producing a model of digital binoculars is given as
Cost function is given as,
Average cost is given by,
So,
Finding the limit,
The meaning of the limit in this context is when production of digital binoculars is infinity, then the cost per unit becomes constant that is 34.
So, the limit of average cost function is 34.
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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