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OleMash [197]
3 years ago
9

Suppose that c (x )equals 2 x cubed minus 12 x squared plus 23 comma 000 x is the cost of manufacturing x items. Find a producti

on level that will minimize the average cost of making x items.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

x = 4 units

Step-by-step explanation:

Data provided in the question:

c(x ) = 2x³ - 12x² + 23,000

Now,

For point of maxima or minima, differentiating the above equation with respect to number of items 'x'

c'(x) = 3(2x²) - 2(12x) + 0

or

c'(x) = 3(2x²) - 2(12x)

for point of maxima or minima put c'(x) = 0

Thus,

3(2x²) - 2(12x) = 0

or

6x² - 24x = 0

or

x² - 4x = 0

or

x(x - 4) = 0

or

x = 0  and, x =  4

Since,

The quantity cannot be zero

Therefore,

production level that will minimize the average cost of making x items is x = 4 units

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oee [108]

Answer:

-21=24

Step-by-step explanation:

Subtract 24 from 3

-21=8+2^2

Raise 4 to the power of 2

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Add 8 and 16

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7 0
3 years ago
Anthony is 154 cm tall, his brother Gerry is 5/7 as tall as him. How tall is Gerry?
11111nata11111 [884]

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

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5/7 of 154 cm

154 cm / 7 = 22

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3 years ago
WILL GIVE BRAINLIEST: If the graph of 2x+3y − 6=0 is perpendicular to the graph of ax − 3y=5. What is the value of a?
Ilya [14]

Answer:

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Step-by-step explanation:

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For line 1:

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Step-by-step explanation:

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