Question 1136923
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The numbers don't seem realistic -- an increase by about 1% in the number of trees per acre results in a decrease of over 10% in the amount of fruit per tree.<br>
Let x be the number of trees per acre she adds; then the number of trees per acre is (95+x) and the yield per tree is (30-4x) bushels.  The total amount of fruit in bushels is<br>
{{{(95+x)(30-4x) = -4x^2-350x+2850}}}<br>
The maximum yield is at the maximum of that expression, which is at {{{x = -b/(2a) = -350/8 = -43.75}}}<br>
So apparently she currently has far too many trees per acre.  To get the maximum yield, she needs to reduce the number of trees per acre by 43.75.<br>
So the number of trees per acre for maximum yield is 95-43.75 = 51.25.<br>
Looking back at the numbers, maybe they ARE realistic.  The sharp drop in yield per tree for each added tree in the beginning suggests that the orchard is already very much overcrowded....