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# PS Equations

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Manager
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09 Jun 2007, 20:32
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Pls explain to me, thanks.
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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Manager
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09 Jun 2007, 20:39
Nov - Feb = 4 mos = 4x
March - Oct = 3.5x in March, 3x in April, ..., .5x in Sep, 0x in october

0.1 / rake, so .1(sum of rakes) = .1(3.5x + 3x + ... + .5x) = .1(14x) = 1.4x, C
CEO
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09 Jun 2007, 20:42
Ans is C 1.4x

In the first 4 months the company produces 4x rakes. For the next 8 months it ships of 4x/8 rakes per month.

If it didnt ship any it would pay storage costs of 4x * 8 * .1 = 3.2x (remember it only pays shipping costs for the last 8 months).

So the actual storage costs =
Cost to store every thing - cost to store shipped item per month
3.2x - [ .05x + .1x + .15x + .2x + .25x + .3x + .35x + .4x ]
= 1.4x
09 Jun 2007, 20:42
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