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erastovalidia [21]
3 years ago
11

I need help with this math question I don’t understand

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
What’s your question bro
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4 0
3 years ago
The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

C(x) = 0.09x^3 - 4.5x^2 + 180x

Where,

x = number of wheel,

So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

For maxima or minima,

A'(x) = 0

0.18x - 4.5 = 0

0.18x = 4.5

\implies x = \frac{4.5}{0.18}=25

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0
3 years ago
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