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| PAGE: 590 | SET: Exercises | PROBLEM: 1 |
The marginal cost function is 
.
The fixed start-up cost is 
.
Find the cost of producing function for first 
using net change theorem.
Net change theorem:
Apply integral on each side.
Substitute 
.
Substitute 
.
.
Substitute 
in 
.
.
Net Change Theorem:
The definite integral of the rate of change of quantity 
gives the total change, or net change, in that quantity on the interval 
is 
.
.
.
The cost of producing first 
juice is 
.
The cost of producing first juice is 
.
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