Chapter 4.2, Problem 35E

Set up and solve Exercises 35–40 by the simplex method.

Life Sciences

35. Calorie Expenditure Lauren Simko, a fitness trainer, has an exercise regimen that includes running, biking, and walking. She has no more than 15 hours per week to devote to exercise, including at most 3 hours running. She wants to walk at least twice as many hours as she bikes. According to a website, a 130-pound person like Lauren will burn on average 531 calories per hour running, 472 calories per hour biking, and 354 calories per hour walking. How many hours per week should Lauren spend on each exercise to maximize the number of calories she burns? What is the maximum number of calories she will burn? (Hint: Write the constraint involving walking and biking in the form ≤ 0.) Source: NutriStrategy.com.