A manufacturer of fertilizer finds that the sales of fertilizer roughly follow the seasonal pattern. Determine the day of the year when the maximum amount of fertilizer is sold.

Question

F=100,000(1+sin[2pi(t-600/365]), where F is measured in pounds. Time t is measured in days, with t =1 corresponding to January 1.

Answer 1

First off, there is a parentheses missing in F=100,000(1+sin[2pi(t-600/365]),

There should be a ) to the right of 365.

Given that, just use algebra to derive:

t = (1/2π)Sin^-1(F/100k) + 600/365