In the movie industry, the release date of a film is very important (this is true of any good, but let's consider movies for now.) It is projected that a certain movie will do best in terms of total sales if released to DVD on Nov. 15. The predicted equation for total sales over time is given by the equation: Total = 130*ln(t^2 + 0.77) + 52.8 where t is given in months and "Total" is given in thousands of units. Each copy of the movie sells for $18 and costs $8.6 to produce. The sunk cost of producing the film that has not been recovered from theater sales is $5600000.

Question

anonymous · Answer

a. linear profit equation, assuming the cost is lienar and using x to represent a single unit of sales. I got equation 18x-(8.6x+5600000)
b.Find an equation that represents total profit over time by using a composition of functions to change from "x" units to t (time). Be cautious of the units. I am having and issue with what I can figure out the equation should be 1222ln(t^2+0.77)-5598595.52 but it is not what am I doing worng