Homework SourseShane wants to plant an apple orchard From past experience h
Shane wants to plant an apple orchard. From past experience, he knows that if he plants 16 trees, they will yield on average 80 apples per tree. However, once the garden becomes crowded with trees, they yield fewer fruit. In fact, for ever additional tree planted on top of the 16, the yield decreases by 4 apples per tree . How many trees should Shane plant to maximized the total yield? What is the maximum yield?
Solution
80 apples per tree decreases by 4 for one tree yield = (16+x)(80-4x) so for it be maximum its differentiation should be 0 so 4(16+x)(20-x) diff 2x-4 = 0 so x = 2 so yield is 18*72 = 1296 apples
