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andre [41]
3 years ago
8

Find the slope of the lines passing through please help

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

8978

Step-by-step explanation:

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The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.
Darya [45]

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.

C(x) = 2500 + 50x -0.28x^2

(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.

C(x) = 2500 + 50(21) -0.28(21)^2

C(x) = 2500 +1050 -123.48

C(x) = 3426.52

Substitute x=20 in above function.

C(x) = 2500 + 50(20) -0.28(20)^2

C(x) = 2500 +1000-112

C(x) = 3388

The exact cost producing is:

C(21)-C(20)=3426.52-3388=38.52

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.

C(x) = 2500 + 50x -0.28x^2

C'(x) =50-0.56x

Now substitute x=21 in above function.

C'(x) =50-0.56(21)

C'(x) =50-11.76

C'(x) =38.24

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

5 0
3 years ago
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