Question

When there are 22 apple trees per acre, the average yield has been found to be 700 apples per tree. For each additional tree planted per acre, the yield per tree decreases by 12 apples per tree. How many additional trees per acre should be planted to maximize the yield? (Round your answer to the nearest whole number.) ...?

Answer 1

To solve this,
Let apple trees = x
and let yield per tree = 700 - 12x

trees * yield per tree = total yield
let total yield = y

(22 + x) * (700 -15x) = y
trees x apples= yield
22 x 700 = 11,000
23 x 688 = 11, 155
24 x 673 = 11,280
25 x 664 = 11,375
26 x 652 = 11,440
27 x 640 = 11,475
28 x 628 = 11,480
29 x 616 = 11,455

So the correct answer is 29 trees per acre should be planted to maximize the yield.

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