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Each day, a factory’s total expenses are equal to a fixed da
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18 Sep 2020, 10:08
18 Sep 2020, 10:08
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21% (02:42) wrong based on 14 sessions
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Each day, a factory’s total expenses are equal to a fixed daily expense plus a variable expense that is directly proportional to the number of units of product produced by the factory during that day. If the factory’s total expenses for a day in which it produces 3,000 units are $5,500, and the total expenses for a day in which it produces 7,000 units are $8,200, what is the factory’s fixed daily expense? (Disregard the dollar sign when gridding your answer.)
320 GRE Math Problems
Show: :: OA
3475
320 GRE Math Problems
Re: Each day, a factory’s total expenses are equal to a fixed da
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18 Sep 2020, 10:08
18 Sep 2020, 10:08
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: Each day, a factory’s total expenses are equal to a fixed da
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24 Sep 2020, 16:23
24 Sep 2020, 16:23
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Carcass wrote:
Each day, a factory’s total expenses are equal to a fixed daily expense plus a variable expense that is directly proportional to the number of units of product produced by the factory during that day. If the factory’s total expenses for a day in which it produces 3,000 units are $5,500, and the total expenses for a day in which it produces 7,000 units are $8,200, what is the factory’s fixed daily expense? (Disregard the dollar sign when gridding your answer.)
320 GRE Math Problems
Show: :: OA
3475
320 GRE Math Problems
Lets decrypt the problem:
"Each day, a factory’s total expenses are equal to a fixed daily expense plus a variable expense that is directly proportional to the number of units of product produced by the factory during that day"
The last phrase can be translated as:
\(T_{expenses} = F_{fixed} + Q_{quantity}*P_{price} \)
The second part says:
If the factory’s total expenses for a day in which it produces 3,000 units are $5,500, and the total expenses for a day in which it produces 7,000 units are $8,200, what is the factory’s fixed daily expense?
Which is given by:
\(5500 = F_{fixed} + 3000*P_{price}\)
\(8200 = F_{fixed} + 7000*P_{price}\)
Solving the system, it yields:
\(F_{fixed} = 3475\)
