Assume that it costs a manufacturer approximately   C(x) = 1,104,500 + 340x + 0.0005x2   dollars to manufacture x gaming systems in an hour. How many gaming systems should be manufactured each hour to minimize average cost?    __________ gaming systems per hour   What is the resulting average cost of a gaming system? $ ____________   If fewer than the optimal number are manufactured per hour, will the marginal cost be larger, smaller, or equal to the average cost at that lower production level?   Pick one of the following options.   The marginal cost will be larger than average cost. The marginal cost will be smaller than average cost.  The marginal cost will be equal to average cost.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 158E: The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The...
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Assume that it costs a manufacturer approximately
 
C(x) = 1,104,500 + 340x + 0.0005x2
 
dollars to manufacture x gaming systems in an hour. How many gaming systems should be manufactured each hour to minimize average cost?
 
 __________ gaming systems per hour
 
What is the resulting average cost of a gaming system?
$ ____________
 
If fewer than the optimal number are manufactured per hour, will the marginal cost be larger, smaller, or equal to the average cost at that lower production level?
 
Pick one of the following options.
 
The marginal cost will be larger than average cost.
The marginal cost will be smaller than average cost. 
The marginal cost will be equal to average cost.
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