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

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M6/Q11: A certain business produced x rakes each month form [#permalink] New post 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
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 [#permalink] New post 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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Re: very tough [#permalink] New post 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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Re: very tough [#permalink] New post 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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