Chapter 6.3, Problem 76PE

The number of calories burned per hour for three activities is given in matrix N for a 140-lb woman training for a triathlon. The time spent on each activity for two different training days is given in matrix T.

$\begin{array}{l}Calories/hr\\ N=\left[\begin{array}{c}540\\ 400\\ 360\end{array}\right]\begin{array}{c}Running\\ Bicycling\\ Swimming\end{array}\end{array}$

$\begin{array}{l}Time\\ RunningBicyclingSwimming\\ T=\left[\begin{array}{ccc}45\text{ min}& 1\text{hr}& \text{30 min}\\ 1\text{ hr}& 1\text{ hr 30 min}& \text{45 min}\end{array}\right]\begin{array}{c}Day1\\ Day2\end{array}\end{array}$

a. Which product NT or TN gives the total number of calories burned from these activities for each day?

b. Find a matrix that gives the total number of calories burned from these activities for each day.