A fertilizer company finds that their national sales of fert

A fertilizer company finds that their national sales of fertilizer follow this seasonal pattern: F = 100,000[1 + sin (2pi(t - 60)/365)] F is measured in pounds and t represents the time in days, with t = 1 corresponding to Jan 1st. The company wants to setup a schedule to produce a uniform amount of fertilizer each day. What should this amount be per day?

Solution

solution:

If you set up a vector with the values of t from 1 to 365 and plug it into a function, f(x), which

models the equation of F, then you will be given an output of numerical values. Simply find the mean of these values

and you will find that the mean daily sales of fertilizer in weight is 600,000 lbs. Assuming that this manufacturer is

producing the fertilizer for the entire nation, then the mean of the daily sales in weight for the year should be his

daily uniform production amount.