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andrew11 [14]
3 years ago
7

There a 12 pumpkins at the grocery store and you are going to select 3 to take home. How

Mathematics
1 answer:
Virty [35]3 years ago
3 0
Hello do 9+46=684 there you go to find sum 69
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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
What is the equation of the line that has a slope of 2 and a y-intercept of -3?
zaharov [31]

Answer:

<h2>y = 2x - 3</h2>

Step-by-step explanation:

y = (slope)x + (y-intercept)

7 0
2 years ago
Read 2 more answers
A group of friends were working on a student film with a budget of $700, which they
Westkost [7]

Answer:

76%

Step-by-step explanation:

First do 700 - 168 which is 532

Next we see that 700 is 100% in this scenario

Then we will use the value we seek as ‘x’

So, x% = 532

We can put the two equations, 100%/x% = 700/532

they both have LHS

We can take the inverse from both sides yields

Therefore, the answer is 76%

8 0
2 years ago
Assume the least squares equation is ŷ = 10 + 20x. what does the value of 10 in the equation indicate?
iVinArrow [24]
10 is the initial value, found when x=0.  I don't know what you are measuring by "0" and "10" here, so can't be more specific.
3 0
3 years ago
PLZ HELP I GIVE BRAINLIEST...<br><br> 2-(-4)=?<br> -5-(10)=?
disa [49]

2 -(-4) = 2 + 4 = 6

-5-(10) = -5 - 10 = -15

I hope it helps you

5 0
3 years ago
Read 2 more answers
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