Question

When an apple orchard owner plants 65 trees on an acre of ground, he gets an average yield
of 1500 apples per tree per year. For each additional tree planted per acre, the annual yield
per tree drops by 20 apples. Calculate the number of trees that should be planted per acre to
produce the maximum crop of apples and use that value to determine the maximum yield?

Answer 1

@inkyvoyd

Answer 2

is this just algebra?

Answer 3

basically pain in the retriceis what it really is.

Answer 4

"College Algerbra" just a bit lazy atm,, it's late wanna get this down so im asking round instead of looking througb 20 pgs of notes.

Answer 5

lol my brain is not wired for word problems atm

Answer 6

We seek to first find a function for the number of apples per year, and then maximize that function to find the yield maximum
The number of apples equals trees*apples per tree

Answer 7

that is equal to
(65+t)*(1500-20t)

Answer 8

foil the expression to get your quadratic function, and then use the -b/(2a) formula to obtain the optimum value for t (note that this is the number of trees planted in ADDITION to 65, so t=1 is actually 66 planted trees). then, substitute your t value into the function to get the yield.

Answer 9

ah kk