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A certain business produced x rakes each month form November
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26 Sep 2010, 11:38
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68% (03:03) correct 32% (03:03) wrong based on 788 sessions
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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
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17 Sep 2014, 13:14
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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.
Re: A certain business produced x rakes each month form November
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19 Jan 2016, 13:17
udaymathapati wrote:
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
You can solve this one using 3 Methods
Method 1 Number picking (see Bunuel's approach)
Method 2 Brute force; Just list the number of monats shipments etc.
Re: A certain business produced x rakes each month form November
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25 Jul 2017, 08:19
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Explanation:
Given certain business produced x rakes each month from November through February and shipped x/2 rakes at the beginning of each month from March through October.
From November to February, i.e. in 4 months, x rakes each month are produced. ⇒ Total number of racks produced = 4x
Also given 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.
From March to October, i.e. in 8 months, x/2 rakes each month are shipped. Hence, from March onwards, number of rakes decreases by x/2 at the beginning of every month.
Total storage cost in 12 months = Storage cost from Nov. to Feb. + storage cost from March to Oct. = 0 + storage cost from March to Oct.
Number of racks remaining in March = 4x − x/2 = 7x/2. Similarly number of racks remaining from April through September will be 3x, 5x/2, 2x, 3x/2, x and x/2.
Total storage cost from March to Oct. = 0.10 (7x/2 + 3x + 5x/2 + 2x + 3x/2 + x + x/2) = 1.40x
Re: A certain business produced x rakes each month form November
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06 Jun 2019, 18:09
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udaymathapati wrote:
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
We know that the business didn’t need to pay storage costs from November to February. So let’s begin by analyzing what happened in March. Just before March, the business had 4x rakes, and at the beginning of March, they shipped out x/2 rakes; therefore, for the month of March, they had 4x - x/2 = 8x/2 - x/2 = 7x/2 rakes that required storage costs of $0.10 each.
Since they shipped out x/2 rakes at the beginning of each of the subsequent months, from April to October, the number of rakes in storage in these months are 6x/2, 5x/2, 4x/2, 3x/2, 2x/2, x/2 and 0, respectively. Including the 7x/2 rakes in March, the total number of rakes that require storage costs is:
(7x/2 + 0)/2 * 8 = 7x/2 * 4 = 14x
Since each rake cost $0.10 to store, the total storage costs are 14x * 0.1 = 1.4x dollars.
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68% (03:03) correct 
