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August 30, 2014

Posted by **Amanda** on Monday, November 5, 2007 at 5:56pm.

a. How many weeks should Mr. Jackson wait in order to maximize the profit?

b. What is the maximum profit?

How do you write an equation to represent all of this and lead you to your answer?

- pre-calc -
**DrBob222**, Monday, November 5, 2007 at 8:59pmI presume that the 10 lbs increase each week is per tree; otherwise we need the number of trees.

You can make a table for one tree.

lbs.....price/lb....week...total price

120..... 0.48 ...... now .. 57.60

130..... 0.45 ....... 1 ... 58.50

140..... 0.42 ....... 2 ... 58.80

150..... 0.39 ....... 3 ... 58.50

160..... 0.36 ....... 4 ... 57.60

Here is the way I would do the equation.

Y = # weeks

120 + 10Y = # lbs apples available.

selling price is 0.48-0.03Y

# lbs apples available x selling price is total price Mr. Jackson obtains.

(120+10Y)(0.48-0.03Y)=selling price (s.p.) each week.

57.60 + 1.20Y -0.3Y^{2}=s.p.

You can try week 1,2,3,and 4 and see what the selling price is.

I did that and obtained

now......57.60

week 1...58.50

week 2...58.80

week 3...58.50

week 4...57.60**Check my thinking. Check my work.**

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