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almond37 [142]
3 years ago
6

Given: PA = PB, then PC =

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0
Based on the picture, PC = PD
aniked [119]3 years ago
5 0

Answer:

PD

Step-by-step explanation:

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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
2 years ago
Y=3/2(x-5) horizontal <br> Vertical
vampirchik [111]
Hello, the answer is vertical. It also shifts down 15/2 units.
3 0
2 years ago
What is the meaning of descending​
erastovalidia [21]

Answer:

numbers largest to smallest

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Help? With this question please
Pie
A. original stuff is for 6 ppl anf u need for 2. and since 2 is 3x less yhan six. divide the ingrefiants by 3.

b. for 15 ppl, 6 is default. dou le all ingtediants is for 12. thrn add 50% more. aka mulyiply all ingrediants by 2.5
6 0
3 years ago
Read 2 more answers
Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exam
Pani-rosa [81]

<u>Answer:</u>

96

<u>Step-by-step explanation:</u>

Let's assume that the marks needed in the next exam is x. Then if the average becomes 90,

\frac{80 + 93 + 91 + x}{4}= 90

Now we can simply solve for x:

⇒ \frac{264 + x}{4}= 90

⇒ 264 + x = 360            [Multiplying both sides by 4]

⇒ x = 360 - 264            [Subtracting 264 from both sides]

⇒ x = \bf96

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

8 0
2 years ago
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