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3 years ago

Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Answer:

50 units

Step-by-step explanation:

Find the number of units x that produces the minimum average cost per unit C in the given equation.

C = 0.001x³ + 5x + 250

unit cost f(x) = C/x

= 0.001x³/x + 5x/x+ 250/x

f(x) = 0.001x² + 5 + 250/x

f'(x) = 0.002x - 250/x²

We equate the first derivative to zero

0.002x - 250/x² = 0

0.002x = 250/x²

Cross Multiply

0.002x × x² = 250

0.002x³ = 250

x³ = 250/0.002

x³ = 125000

x = 3√(125000)

x = 50 units

Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.

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50% of all the cakes jenny baked that week were party cakes,1/5 were fruit cakes, and the remainder were sponge cakes. what perc

irina1246 [14]

Answer:

30%

Step-by-step explanation:

1/5 = 20%

so, 50 - 20 = 30

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3 years ago

The municipality of Waterloo needs $915,000 from property tax to meet its budget. The total value of assessed property in Waterl

levacccp [35]

Answer: Tax rate per dollar = .06536

Given:

Amount needed from property tax = $915000

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Tax rate per dollar = $\frac{Property\ tax\ amount}{Value\ of assessed\ property}$

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4 0

3 years ago

Question 2 The length of a rectangle is 5 yd more than twice the width, and the area of the rectangle is 63 yd2 . Find the dimen

Sedaia [141]

L = 2W + 5
A = LW = 63
L = 63/W
W=63/L

L = 2W + 5
63/W = 2W + 5
63 = 2WW + 5W
2WW + 5W - 63 = 0

2WW + 5W - 63 = 0
is already in quadratic equation form: ax^2 + bx + c = 0

use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a

the two solutions are:
x = 9/2
x = -7
you cant have a negative solution for length so use the positive one

solve for length:
L=5+2(9/2)
L=5+18/2
L=5+9
L=14

W = 9/2
L = 14

3 0

3 years ago

Solve the problem.

kaheart [24]

Multiply 2/3 into 8 1/4 and you should get 20/4 and that reduces to 10/2 but you have to simplify it more and you should get 5/1 or the answer of 5

3 0

2 years ago

What does a residual value of 4. 5 mean in reference to the line of best fit? The data point is 4. 5 units above the line of bes

Kamila [148]

A line of best fit is a line drawn at average distance to a series of scattered points. Thus, the correct option is:

Option B. The data point is 4. 5 units below the line of best fit.

A graph is said to be formed by plotted points on a Cartesian coordinate plane. When the plotted points are scattered, a line of best fit is required to shoe the relationship among the plotted points.

A residual value is a form of error that is determined from the line of best fit. A line of best fit is a line drawn at average point to a series of plotted scattered points.

Therefore, a residual value of 4.5 with respect to a line of best fit implies that: The data point is 4. 5 units below the line of best fit.

Thus the correct option is B.

Visit: brainly.com/question/1453263

4 0

2 years ago