Chapter 6.1, Problem 63E

(a)

To determine

Whether company is forecasting an increase or decrease in the demand over the decade by using graphing utility when a manufacturing company forecast the demand x (in units) for it’s product over the next 10 years is modeled by the function,

$x=500\left(20+t{e}^{-0.1t}\right)\text{, 0}\le t\le 10$

Where t is the time in years.

(b)

To determine

To calculate: The total demand over the next 10 years when a manufacturing company forecast the demand x (in units) for it’s product over the next 10 years is modeled by the function,

$x=500\left(20+t{e}^{-0.1t}\right)\text{, 0}\le t\le 10$

Where t is the time in years.

(c)

To determine

To calculate: The average annual demand over the period of 10 years when a manufacturing company forecast the demand x (in units) for it’s product over the next 10 years which is modeled by the function,

$x=500\left(20+t{e}^{-0.1t}\right)\text{, 0}\le t\le 10$

Where t is the time in years.