Based on this years costs, an orcharde grower budgets P : PS Archive
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# Based on this years costs, an orcharde grower budgets P

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Based on this years costs, an orcharde grower budgets P [#permalink]

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31 Jan 2007, 05:14
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Based on this yearâ€™s costs, an orcharde grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent from this yearâ€™s cost ,then the greatest number of trees that the orchard grower could plant next year using P dollars would be.

A. 20% less than N
B. 25%less than N
C. equal to N
D. 20%greater than N
E. 25% greater than N
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31 Jan 2007, 06:43
TOUGH GUY wrote:
Based on this yearâ€™s costs, an orcharde grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent from this yearâ€™s cost ,then the greatest number of trees that the orchard grower could plant next year using P dollars would be.

average cost = (budget for planting)/(total trees)

The average cost of planting tree this year = P/N
The average cost of planting tree next year increase 25% = (P/N)' = 1.25(P/N)

Assume N' is the plant that can be growed next year with the same amout budget P
=> 1.25(P/N) = P/ N'

N' = P/(1.25P/N) = N/1.25 = 4N/5 = 0.8N

N' is 80% of N thus the owner can grow 20% less than last year

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31 Jan 2007, 13:08
You can always pick numbers for P and N

P=N * avg. cost

A
31 Jan 2007, 13:08
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