Penny tends a large garden outside her country home and finds that it gets an average annual yield of 38 vegetables per plant when the density of plants is 13 plants per quarter-acre. For every additional plant added to each a quarter-acre, the yield decreases by 2 vegetables per plant. How many plants should she put on each quarter-acre to maximize the yield.

Question

anonymous · Answer

can you explain how you found that answer

anonymous · Answer

thanks

anonymous · Answer

something wrong with it, it's vertex is at zero, checking

anonymous · Answer

(13+x)(38-2x)    = -2x^2 +12x +494
(13 = starting plants. +x = each additional plant)(28 = veggie per plant, -2x = minus 2 veggies per plant added) graph or plot the quadratic. Ok had a typo

anonymous · Answer

corrected 28 veg per plant to 38 which threw off the quadratic

anonymous · Answer

vertex x,y is (3,512) 13 original plants have to be added so vertex is at 15 plants