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mylen [45]
2 years ago
6

PLEASE HELP

Mathematics
1 answer:
Lena [83]2 years ago
3 0

Answer:

11.4 cm

Step-by-step explanation:

Using pythagoras theorem,

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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

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

\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
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Y_Kistochka [10]

Answer:

Dobereiner's Triads are groups of three elements arranged in such a way that the atomic weight of the middle element is almost the average of the other two. The elements of triad have almost similar properties

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I need help with these. Click this to see the problems (if u don't know how to)
Daniel [21]
The ground is supplementary. That means it equals 180 degrees. (A circle is 360. The ground is half the circle)
So u set up the equation as
180=22x+14x
180=36x
/36 /36
5=x

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Emma earns 120 frequent flyer miles for every $40 of merchandise she buys with her credit card. Which of the following equations
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PLS HELP!!!<br> factor:<br><br> a. 16b^2c^12-0.25<br><br> b. 81x^6y^2-0.36a^2
mafiozo [28]

Answer:

Step-by-step explanation:

a.   16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:

(4bc^6 - .5)(4bc^6 + .5)

b.   81x^6y^2-0.36a^2

is the difference of two squares, just like (a) (above); its factors are:

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7 0
3 years ago
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