The Weekly Demand for Your Company's Lo-Cal Mousse Is Modeled $q ( t ) = \frac { 18 e ^ { 2 t - 2 } } { 1 + e ^ { 2 t - 2 } }$

question 29

Multiple Choice

The weekly demand for your company's Lo-Cal Mousse is modeled by the equation $q ( t ) = \frac { 18 e ^ { 2 t - 2 } } { 1 + e ^ { 2 t - 2 } }$ where t is time from now in weeks and q(t) is the number of gallons sold per week. Evaluate the integral $\int _ { - \infty } ^ { 0 } \frac { 18 e ^ { 2 t - 2 } } { 1 + e ^ { 2 t - 2 } } \mathrm {~d} t$ .

• A)0.254 gallons
• B) 5.639 gallons
• C) 2.285 gallons
• D) 1.142 gallons
• E) 2.819 gallons

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Definitions:

Customer Needs

The wants or requirements that consumers express to have satisfied by purchasing goods or services.

Black Box Model

A concept in consumer behavior that treats the consumer's mind as a "black box," focusing on the inputs and outputs of the buying process without attempting to interpret what happens inside the mind.

Marketing Research

The process of gathering, analyzing, and interpreting information about a market, including about potential customers and competitors.

Unspoken Needs

Customer requirements or desires that are not directly expressed or communicated, often identified through observation, research, or predictive analytics.