Answer:
The exact cost of producing the 21st food processor is $38.52.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24
Step-by-step explanation:
Consider the provided function.
(A) Find the exact cost of producing the 21st food processor
The exact cost producing 21st food processor is C(21)-C(20)
Substitute x=21 in above function.
Substitute x=20 in above function.
The exact cost producing is:
Hence, the exact cost of producing the 21st food processor is $38.52.
Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,
To find the marginal cost first differentiate the function with respect to x.
Now substitute x=21 in above function.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24
