Matrix Multiplication Question

We were given a question yesterday to do with matrix multiplication and were asked to post our thoughts through it on our blogs to look at in the future.

There are 3 factories of type A that makes 30 kitchens each week and 40 bathrooms, as well as 8 factories of type B with 10 kitchens each week and 15 bathrooms. This information could be made into a 2X2 matrix with row headers "Kitchen" & "Bathroom" and column headers factories"A" &"B". The first part of the question asked for total weekly production of both suites from both kinds of factories. To do so, the 2X2 matrix had to by multiplied by a 2X1 matrix so the inside numbers were the same. The next part of the question was to find the market value of all suites per week. To do this, the total of each suite had to be multiplied by the total value of each suite. The 2X1 had to be multiplied by a 1X2 matrix with values to work, resulting in a 1X1 matrix with the total value of the goods purchased