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A certain business produced x rakes each month form November [#permalink]
26 Sep 2010, 10:38

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Difficulty:

75% (hard)

Question Stats:

64% (03:06) correct
36% (02:25) wrong based on 453 sessions

A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?

A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October? A. 0.40x B. 1.20x C. 1.40x D. 1.60x E. 3.20x

Pick some smart number for \(x\), let \(x=2\) (I chose \(x=2\) as in this case monthly shipments would be \(\frac{x}{2}=1\)).

From November to February \(4x=8\) rakes were produced and in March business paid for storage of 8-1=7 rakes, in next month for storage of 6 and so on.

So total storage cost would be: \(0.1(7+6+5+4+3+2+1)=2.8\) --> as \(x=2\), then \(2.8=1.4x\).

Rakes in the storage first month 3.5x Rakes in the storage in the last month 0.5x Average rakes in the storage 2x Number of months rakes are in the storage 7 (There are no rakes in the storage in Oct)

Re: A certain business produced x rakes each month form November [#permalink]
17 Sep 2014, 12:14

Expert's post

shreygupta3192 wrote:

can any one please explain this problem piece by piece..didn`t get a single word of this question.. n why r u doing 8-1=7..

kindly explain this thanku.

Let \(x=2\):

The business produced x rakes each month from November through February --> from November to February \(4x=8\) rakes were produced. The business shipped x/2 rakes, so 1 rake, at the beginning of March and started paying storage costs in March, so in March business paid for storage of 8-1=7 rakes.

Please re-read the question and the solutions above.

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