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galben [10]
2 years ago
10

The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is g

iven below.
C = $3,173 + $31u

If the company wants to keep the cost of operation under $18,000 per month, what is the maximum number of units they can produce?
Mathematics
1 answer:
pantera1 [17]2 years ago
6 0

Answer:

Given. C = $3173 + $310 Number of units produced operation Corpaci cost c = C- $ 18000 per month 18000 - 3173 4310 - 310 18000 - 3173 U= 14827 31 478.29 U= Maximum number of units ñ 478 Correct Hence, option Cis /

Step-by-step explanation:

Mathematics Diagnostic Assessment Steele 13 The monthly cost of operation at a company, C given in dollars as a function of the number of units produced per month, u, is given below. C = $3,173 + $31u produce? If the company wants to keep the cost of operation under $18,000 per month, what is the maximum number of units they can OA. 4,780 OB. 4,781 OC. 478 OD. 479 Reset Submit All rights reserved.

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Answer:

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Step-by-step explanation:

<u>Logarithms</u>

There are certain properties of the logarithms we'll need to recall in order to simplify the expression given in the question. We'll list them below

log(x.y)=logx+logy\\log(x/y)=logx-logy\\logx^y=y.logx

We'll also need to factor the following numbers into their prime factors:

20=2^2\cdot 5

16=2^4

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25=5^2

24=2^3\cdot 3

81=3^4

80=2^4\cdot 5

The original expression is

\displaystyle E=log20+16log\frac{16}{15}+12log\frac{25}{24}+log\frac{81}{80}

Plugging in the factored values

\displaystyle E=log(2^2\cdot 5)+16log\frac{2^4}{3\cdot 5}+12log\frac{5^2}{2^3\cdot 3}+log\frac{3^4}{2^4\cdot 5}

Applying the properties we have

\displaystyle E=log2^2+log 5+16(log2^4-log3-log 5)+12(log5^2-log2^3-log 3)+log3^4-log2^4-log 5

\displaystyle E=2log2+log 5+16log2^4-16log3-16log 5+12log5^2-12log2^3-12log 3+log3^4-log2^4-log 5

\displaystyle E=2log2+log 5+64log2-16log3-16log 5+24log5-36log2-12log 3+4log3-4log2-log 5

Simplifying

\boxed{\displaystyle E=26log2-24log3+8log 5}

7 0
4 years ago
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Answer:

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3 years ago
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Alex787 [66]

Answer:

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Step-by-step explanation:

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Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

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Answer:

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