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Flura [38]
3 years ago
12

16) The revenue (in thousands of dollars) from producing x units of an item is modeled by

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0

Answer:

Part 16) The marginal revenue is $4,000

Part 17) The marginal average cost function is (70x+41)

Step-by-step explanation:

Part 16) we know that

The marginal revenue function is simply the derivative of the revenue function

we have

R(x)=5x-0.0005x^{2}

Find  \frac{dR(x)}{dx}

R'(x)=5-0.001x

For x=1,000 units

substitute

R'(x)=5-0.001(1,000)

R'(x)=5-1=\$4

Remember that the units is in thousands of dollars

therefore

The marginal revenue is $4,000

Part 17) we know that

The marginal average cost function is simply the derivative of the average cost function

we have

C(x)=(5x+3)(7x+4)

Applying the distributive property

C(x)=35x^2+20x+21x+12

C(x)=35x^2+41x+12

Find the derivative

C'(x)=70x+41

therefore

The marginal average cost function is (70x+41)

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