Your input here will be much appreciated. Thank you
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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A certain business produced x rakes each month form November
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abhi332
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In 4 months(Nov-Feb) company had produced = 4x
from march to oct , number of racks available = x * n/2(2a+(n-1)d) = x* |7/2(-2*3.5+(7-1)0.5)| -- negative sign as quantity decreases
from march to oct , number of racks available = x * 14
for march to oct expenditure will be = x * 14 * 0.1 = 1.4 x
therefore, ans is C
from march to oct , number of racks available = x * n/2(2a+(n-1)d) = x* |7/2(-2*3.5+(7-1)0.5)| -- negative sign as quantity decreases
from march to oct , number of racks available = x * 14
for march to oct expenditure will be = x * 14 * 0.1 = 1.4 x
therefore, ans is C
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ajith
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At the start of February we have 3.5 x rakes in storage and it pays .35x as storage feeimane81 wrote:Your input here will be much appreciated. Thank you
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
In march, similarly it pays 0.30x
... so on
Total storage fee paid = 0.35x + 0.30x +....+0.05x = 7/2(0.35+0.05)x = 1.4x
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GMATGuruNY
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Let x=10.imane81 wrote:Your input here will be much appreciated. Thank you
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 $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
A. 0.40x
B. 1.20x
C. 1.40x
D. 1.60x
E. 3.20x
Total rakes produced over 4 months November through February = 4*10 = 40.
From March through October, the number shipped = x/2 = 10/2 = 5 rakes per month.
Thus, starting in March, the number of rakes to be stored is reduced by 5 each month.
Thus, the number stored over the remaining 8 months March through October = 35+30+25+20+15+10+5+0 = 140.
Total storage cost at 10 cents per rake = 10*140 = 1400 cents = 14 dollars. This is our target.
Now we plug x=10 into the answers to see which yields our target of 14.
Only answer choice C works:
1.4x = 1.4*10 = 14.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
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winniethepooh
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Is there an assumption here that the business pays no storage cost for the period of November to February?
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bblast
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Hi Mitch,
I failed to reach a solution in the cat as i took .40$ as the cost for march and not .35$. I know test pressure caused this error, however even looking at the question otherwise I am not too convinced about it. What if the march stuff was shipped on 31st march and we still had to pay the storage cost for all .40$ rakes ?
I failed to reach a solution in the cat as i took .40$ as the cost for march and not .35$. I know test pressure caused this error, however even looking at the question otherwise I am not too convinced about it. What if the march stuff was shipped on 31st march and we still had to pay the storage cost for all .40$ rakes ?
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In the 4 months leading up to March, the company PRODUCES 4x rakes (4 months at x/month = 4x)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 to 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 from November through October?
A) 0.40x
B) 1.20x
C) 1.40x
D) 1.60x
E) 3.20x
On March 1, x/2 rakes are SHIPPED, leaving 3.5x rakes for which the company must pay storage fees.
On April 1, x/2 rakes are SHIPPED, leaving 3x rakes for which the company must pay storage fees.
On May 1, x/2 rakes are SHIPPED, leaving 2.5x rakes for which the company must pay storage fees.
etc... (this pattern continues until no rakes remain).
The total NUMBER of rakes (for which storage fees are paid) = 3.5x + 3x + 2.5x . . . + 1x + 0.5x
= 14x
The charge is $0.1/rake, so the total FEE = (0.1)(14x) = [spoiler]1.4x = C[/spoiler]
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