A Nutritionist Proposes the Following Model for Weight Loss on a Program

question 27

Multiple Choice

A nutritionist proposes the following model for weight loss on a program she is developing: $\frac { \mathrm { dw } } { \mathrm { dt } }$ + 0.006w = $\frac { 1 } { 3600 }$ C where w(t) is a person's weight (in pounds) after t days of consuming exactly C calories per day. A person weighing 180 pounds goes on this diet program consuming 2400 calories per day. Use the above model to predict how long will it take this person to lose 15 pounds.

• A) 41 days
• B) 37 days
• C) 39 days
• D) 35 days

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Definitions:

Breaking Even

The point at which total revenues exactly equal total expenses, resulting in no net profit or loss.

Produce

To create or manufacture goods and services for consumer use, often involving a combination of raw materials, labor, and machinery.

Leave the Industry

The process by which firms exit a market or cease operations, often due to unfavorable market conditions or insufficient profits.

Average Variable Cost

The total variable cost divided by the quantity of output produced, representing the variable cost per unit of output.