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# M6/Q11: A certain business produced x rakes each month form

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Manager
Joined: 08 Oct 2005
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M6/Q11: A certain business produced x rakes each month form [#permalink]  05 Aug 2006, 21:37
M6/Q11:
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 CEO Joined: 20 Nov 2005 Posts: 2913 Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008 Followers: 18 Kudos [?]: 121 [0], given: 0 [#permalink] 05 Aug 2006, 21:45 C Total produced = 4x Remaining at start of month and cost of storage (in cents) paid at the end of month Mar ------3.5x---------35x Apr ------3.0x---------30x May ------2.5x---------25x Jun ------2.0x---------20x Jul ------1.5x---------15x Aug ------1.0x---------10x Sep ------0.5x---------5x Oct ------0.0x---------0 Total cost = x * (35+5)*7/2 = 140x i.e$1.40x
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
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Re: very tough [#permalink]  05 Aug 2006, 21:52
Total produced rakes = 4x
Monthly shipping = x/2
Storage cost for Mar. = (4x-x/2)*0.1 = 0.35x
Storage cost for Apr. = (4x-x/2-x/2)*0.1 = 0.3x
.
.
Storage cost for Oct. = (4x-4x)*0.1 = 0

Total storage cost = (0+0.05+....+0.30+0.35)X = 1.40X

C it is..
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Manager
Joined: 20 Mar 2006
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Re: very tough [#permalink]  06 Aug 2006, 12:13
ong wrote:
M6/Q11:
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 $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October? A. 0.40x B. 1.20x C. 1.40x D. 1.60x E. 3.20x Good prob- Nov-Feb rakes produced = 4x Storage cost= 0$
Beg of March- x/2 rakes shipped remaining = 7x/2 storage cost=0.1*7x/2
Beg of April- x/2 rakes shipped remaining = 3x storage cost=0.1*3x
Beg of May- x/2 rakes shipped remaining = 5x/2 storage cost=0.1*5x/2
Beg of June- x/2 rakes shipped remaining = 2x storage cost=0.1*2x
Beg of July- x/2 rakes shipped remaining = 3x/2 storage cost=0.1*3x/2
Beg of Aug- x/2 rakes shipped remaining = x storage cost=0.1*x
Beg of sep- x/2 rakes shipped remaining = x/2 storage cost=0.1*x/2
Beg of oct- x/2 rakes shipped remaining = 0 storage cost=0

Adding = 0.1x[7/2+3+5/2+2+3/2+1+1/2]
=0.1x[16/2+6]
=0.1x *14
=1.4x
Hence C
Heman
Re: very tough   [#permalink] 06 Aug 2006, 12:13
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# M6/Q11: A certain business produced x rakes each month form

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