Francesca wants to start exercising to burn at least
extra calories per week, but she does not have much spare time for exercise. According to a website, she can burn an average of
calories per minute walking,
calories per minute cycling, and
calories per minute swimming. She would like her total time walking and cycling to be at least
times as long as she spends swimming. She would also like to walk at least
minutes per week. How much time should she spend on each activity not only to meet her goals but also to minimize her total exercise time per week? What is her minimum exercise time per week?
Question content area bottom
Part
Let
y y
be the number of minutes per week spent walking,
y y
be the number of minutes per week spent cycling, and
y y
be the number of minutes per week spent swimming. What is the objective function that must be minimized?
wequalsenter your response herey yplusenter your response herey yplusenter your response herey y
