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mr_godi [17]
3 years ago
6

Can someone help fast please

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

\frac{3a}{a-2}

Step-by-step explanation:

\frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14}

Factorise 2a^2 - 11a + 14}

\frac{2a - 7}{a}*\frac{3a^2}{(2a - 7)(a - 2)}

2a - 7 cancels  2a - 7

\frac{1}{a}*\frac{3a^2}{(1))(a - 2)}

\frac{1(3a^2)}{a(a-2)}

\frac{a(3a)}{a(a-2)}

"a" cancels "a"

\frac{3a}{a-2}

Thus,

\frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14} = \frac{3a}{a-2}

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Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

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So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

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