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A certain business produced x rakes each month form November

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A certain business produced x rakes each month form November [#permalink] New post 26 Sep 2010, 10:38
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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. 0.40x
B. 1.20x
C. 1.40x
D. 1.60x
E. 3.20x
[Reveal] Spoiler: OA
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Re: Storage Cost [#permalink] New post 26 Sep 2010, 10:42
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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


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.

Answer: C.
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Re: Storage Cost [#permalink] New post 26 Sep 2010, 19:02
sum of the costs incurred at the beginning of the month
=(1+2+....+7)X/2 * .1 $
=1.4X $
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Tough GMAT prep PS [#permalink] New post 19 Feb 2011, 09:51
Hi,

Can someone please explain tough PS question from gmat prep.

Please find screenshot attached in the word doc file.

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Re: Storage Cost [#permalink] New post 19 Apr 2011, 18:46
x + x + x + x -> rakes produced

x/2 * 8 -> Rakes exported


Storage cost =

7x/2 * 0.1 + 3x + 0.1 + 5x/2 * 0.1 + 2x * 0.1 + 3x/2 * 0.1 + x * 0.1 + x/2 * 0.1

( 3.5 + 3 + 2.5 + 2 + 1.5 + 1 + 0.5)x * 0.1

Answer - C
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Re: Storage Cost [#permalink] New post 19 Apr 2011, 19:21
Total Rakes produced = 4 months *x
Total Rakes sold each month March - OCt = x/2
Storage cost (3.5 + 3+ 2.5+2+1.5+1+0.5) x * 0.1

Correct Answer C
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Re: Storage Cost [#permalink] New post 25 May 2011, 23:21
the costs are = 7x/2 +5x/2+3x/2+x/2+3x+3x+x = 14x
14x * 0.1 = 1.4x
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Re: Storage Cost [#permalink] New post 26 May 2011, 08:09
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Total rakes produced 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)

so 2x * 0.1 * 8 = 1.4x
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a certain business produced x rakes each [#permalink] New post 30 Jun 2012, 07:31
a 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.The business paid no storage costs for the rakes from november trough february, but it paid storage costs of $0.1 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 cos, in dollars, that he business paid for the rakes for the 12 month from november through october?

0.4x
1.2x
1.4x
1.6x
3.2x
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Re: a certain business produced x rakes each [#permalink] New post 30 Jun 2012, 07:39
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Galiya wrote:
a 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.The business paid no storage costs for the rakes from november trough february, but it paid storage costs of $0.1 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 cos, in dollars, that he business paid for the rakes for the 12 month from november through october?

0.4x
1.2x
1.4x
1.6x
3.2x


Merging similar topics. Please refer to the solutions above.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A certain business produced x rakes each month form November [#permalink] New post 05 Nov 2013, 10:55
Picking smart numbers is an easy and smart solution here. Here's algebra as well:

4x rakes are produced, x/2 are sold each month, and we're assuming at the beginning of each month.

So storage costs
= .1((4x-x/2)+(4x-2x/2)+(4x-3x/2)+(4x-4x/2)+(4x-5x/2)+(4x-6x/2)+(4x-7x/2)+(4x-8x/2))
= .1(8*4x-36x/2)
= .1(32x-18x)
= .1(14x)
= 1.4x
Re: A certain business produced x rakes each month form November   [#permalink] 05 Nov 2013, 10:55
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