To calculate:The average cost when 1000 books are produced and 32000 books are produced.

glamrockqueen7 2021-01-31 Answered
To calculate:The average cost when 1000 books are produced and 32000 books are produced.
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Expert Answer

Raheem Donnelly
Answered 2021-02-01 Author has 75 answers

Given:
The total cost (in dollars) of producing x college algebra books is C(x) = 42.5x + 80,000.
Formula used:
Average Cost = Total cos t of books / Total number of books
Calculation:
To find the total cost of producing 1000 books, replace the value of x = 1000 in the given cost function.
C(x) = 42.5x + 80,000
C1000) = 42.5(1000) + 80,000
C1000) = 122,500
The total cost for the production of 1000 books is $122,500.
Now use the formula:
Average cost=122,5001000=122.50
The average cost for the production of 1000 books is $122.50.
For 32,000 books,
C(x) = 42.5x + 80,000
C (32, 000) = 42.5 (32,000) + 80,000
C (32, 000) = 1,360,000 + 80,000
C (32,000) = 1,440,000
The total cost for the production of 32000 books is $1,440,000.
Now again use the formula:
Average cost=1,440,00032000=45
The average cost for the production of 32000 books is $45.

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