A sub-contractor needs to decide which companies they should hire for each type of building they want to construct. 

Below is the estimated time it should take (in hours) for each of the different types of buildings they work on. 

Below are the hourly rates for some different construction companies in the area. 

1. Use matrix multiplication to determine which companies can complete each project at the lowest cost. Label your new matrix with the appropriate labels. 

2. Highlight or circle the matrix elements that give the lowest cost for each building project. 

3. Make a table that clearly identifies which company should be hired for each project.

Building Excavating Framing Plumbing Electrical Finishing Office 45 200 88 32 312 Space School 56 250 47 38 270 Apartments 84 480 175 78 344 Grocery Store 75 160 76 35 236