Question

The dollar cost of producing x bagels is C(x)=300+0.25x−0.7(x1000)³. Determine the cost of producing 1000 bagels.

Answer 1

The cost of producing 1000 bagels is $549.30.

Step-by-step explanation:

To find the cost of producing 1000 bagels, we can substitute x = 1000 into the cost function C(x).

C(x) = 300 + 0.25x - 0.7(x/1000)^3

C(1000) = 300 + 0.25(1000) - 0.7(1000/1000)^3

C(1000) = 300 + 250 - 0.7(1)^3

C(1000) = 300 + 250 - 0.7

C(1000) = 550 - 0.7

C(1000) = 549.3

Therefore, the cost of producing 1000 bagels is $549.30.