[Steps Shown] An apple tree produces, on average, 400 kg of fruit each season. However, if more than 200 trees are planted per km2, crowding reduces the yield
Question: An apple tree produces, on average, 400 kg of fruit each season. However, if more than 200 trees are planted per km2, crowding reduces the yield by 1 kg for each tree over 200.
- Express the total yield from one square kilometer as a function of the number of trees on it. Graph this function.
- How many trees should a farmer plant on each square kilometer to maximize yield?
Deliverable: Word Document 
(Solution Library) Businesses are always looking at ways to improve
Solution: A stone is thrown vertically upwards so that its height,
![[Steps Shown] Given the curve y =](/images/solutions/MC-solution-library-46928.jpg "[Steps Shown] Given the curve y = ax 3 + bx 2 + cx + d, a ≥")
[Steps Shown] Given the curve y = ax 3 + bx 2 + cx + d, a ≥
![[All Steps] The cost of producing q](/images/solutions/MC-solution-library-46929.jpg "[All Steps] The cost of producing q items is C(q) = 1000 + 7q dollars.")
[All Steps] The cost of producing q items is C(q) = 1000 + 7q dollars.
![[Step-by-Step] Given the cost function C(q) =](/images/solutions/MC-solution-library-46930.jpg "[Step-by-Step] Given the cost function C(q) = 4000 + 50q + 0.002q")
[Step-by-Step] Given the cost function C(q) = 4000 + 50q + 0.002q
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