SOLUTION: How do you find marginal cost if
12 units cost $445; 50 units cost $1585
The linear cost function is writen as c(x)=30x+85
I know the answer is $30.
Also I need to fin
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Question 326080: How do you find marginal cost if
12 units cost $445; 50 units cost $1585
The linear cost function is writen as c(x)=30x+85
I know the answer is $30.
Also I need to find the average cost per unit to produce 100 units.
I know this answer is $30.85
I just can't figure out how they reached these answers. I have been working on this problem for 2 day.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The marginal cost is the increase in cost each time one additional unit is produced. It is the slope of the cost function at any given point. Since your cost function is linear and is defined in slope intercept form, the marginal cost is simply the coefficient on 
.
The average cost to produce units is the total cost to produce units, namely )
, divided by the number of units produced, . That means the Average Cost function is:
\ =\ \frac{C(x)}{x})
So for 100 units:
\ =\ \frac{C(100)}{100}\ =\ \frac{30(100)\ +\ 85}{100})
I'll let you do your own arithmetic.
John
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