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

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 $\mathrm{\$}122,500$.
Now use the formula:
$\text{Average }\cos t=\frac{122,500}{1000}=122.50$
The average cost for the production of 1000 books is $\mathrm{\$}122.50$.
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 $\mathrm{\$}1,440,000$.
Now again use the formula:
$\text{Average }\cos t=\frac{1,440,000}{32000}=45$
The average cost for the production of 32000 books is $\mathrm{\$}45$.