Question

Suppose the total cost of producing x books is C(x)=22+2x² in dollars and the price-demand equation is 3x+p=30. What is the total cost of producing 7 books?

Answer 1

To calculate the total cost of producing 7 books using the cost function C(x) = 22 + 2x², plug in x = 7 and solve, resulting in a total cost of $120.

Step-by-step explanation:

The student's question asks about the total cost of producing 7 books, given the cost function C(x) = 22 + 2x². To find the total cost of producing 7 books, we substitute x = 7 into the cost function:

C(7) = 22 + 2(7)²

C(7) = 22 + 2(49)

C(7) = 22 + 98

C(7) = 120

Therefore, the total cost of producing 7 books is $120.