Ill give brainliest if u answer right:) pls help

The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the

Ganezh [65]

Answer:

A: for 500: 66; for 60: 68.9; for 100: 66

B: no

Step-by-step explanation:

We assume your average cost function is ...

$\overline{C}=\dfrac{0.01x^2+60x+500}{x}$

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

500 units

c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66

60 units

c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93

100 units

c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

__

B. Dividing out the fraction, we find that the cost per unit is ...

0.01x +60 +500/x

As x gets large, this approaches the linear function c = 0.01x +60. This increases as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)

7 0

4 years ago

Evaluate the integral:

Bogdan [553]

Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then

∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt

… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt

… = 7 ∫ √(1 - sin²(t)) cos(t) dt

… = 7 ∫ √(cos²(t)) cos(t) dt

We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so

√(cos²(t)) = |cos(t)| = cos(t)

and the integral reduces to

… = 7 ∫ cos²(t) dt

Recall the half-angle identity for cosine:

cos²(t) = (1 + cos(2t))/2

Then the integral is

… = 7/2 ∫ (1 + cos(2t)) dt

… = 7/2 (t + 1/2 sin(2t)) + C

… = 7t/2 + 7/4 sin(2t) + C

Get the antiderivative back in terms of x. Recall the double angle identity for sine:

sin(2t) = 2 sin(t) cos(t)

We have t = arcsin(x/√7), which gives

sin(t) = sin(arcsin(x/√7)) = x/√7

cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7

Then

∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C

… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C

5 0

2 years ago

Anyone wanna keep me comany? lol

MariettaO [177]

Answer:

Sure.

Step-by-step explanation:

easy answer

yes x no = sure

Sure x maybe = Ok

6 0

3 years ago

Read 2 more answers

Ashton picked 6 lb of pecans. He used 1/3 of the pecans in a soup recipe. Ashton puts the pecans that are left in 1/4 lb bags. H

Svet_ta [14]

**Answer is 16 bags**

5 0

3 years ago

Read 2 more answers

Find the sticker price for a vehicle with the following features and costs: suggested retail price of $12,720, destination charg

anzhelika [568]

The right answer is Option D.

Step-by-step explanation:

Given,

Retail price = $12,720

Destination charge = $460

Cruise control = $235

Defogger = $148

AM/FM radio = $153

Sticker price = Sum of all feature costs

Sticker price = 12720+460+235+148+153

Sticker price = $13716

The right answer is Option D.

Keywords: addition

Learn more about addition at:

#LearnwithBrainly

4 0

3 years ago