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3 years ago

Find c. Round to the nearest tenth.

Mathematics

1 answer:

solmaris [256]3 years ago

8 0

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

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If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

$C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11$

(b) Find the average cost at a production level of 1000 units.

$c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49$

$\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74$

(d) Find the production level that will minimize the average cost.

$c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100$

(e) What is the minimum average cost?

$c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220$

5 0

3 years ago

The linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a

earnstyle [38]

Answer:

453

Step-by-step explanation:

because we multiply the value with the equation

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2 years ago

-24.5 divided by 6.5

liberstina [14]

Answer:

-3.7

Step-by-step explanation:

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2 years ago

What should be your first step when subtracting integers?

Elena-2011 [213]

What should be my first step when subtracting integers is to .A.add the opposite.

<h3>What are the step to follow in order to subtract integers?</h3>

To perform this operation first number must be kept as the minuend, and then then change the operation from subtraction to addition.

Then proceed with the regular addition of integers, hence What should be my first step when subtracting integers is to add the opposite.