Chapter 9.1, Problem 56E

(a)

To determine

To calculate: The sine function to model the undeflated sales $u\left(t\right)$ of Chateau Petit Mont Blanc as a function of time t in years assuming that this trend continues indefinitely where sales of exclusive $2010$ vintage Chateau Petit Mont Blanc vary from a high of $10$ bottles per day on April $1$ $\left(t=0.25\right)$ to a low of $4$ bottles per day on October $1$.

(b)

To determine

To calculate: The model for the deflated sales $s\left(t\right)$ of Chateau Petit Mont Blanc t years from now assuming that the undercover expose of wine making process, sales of Chateau Petit Mont Blanc have been declining at an annual rate of $12\%$ where sales of exclusive $2010$ vintage Chateau Petit Mont Blanc vary from a high of $10$ bottles per day on April $1$ $\left(t=0.25\right)$ to a low of $4$ bottles per day on October $1$.