help asap!

5. You are the manager of a local computer repair store, and it is your job to ensure that the time spent by your employees ensures the profitability of your company. After looking at historical dat collected from the last year, you observe the following hourly profits for the three types of services your company provides: In Store Service | In Home Service | Over the Phone Service Profit per Labor Hour $18 $24 $8 In order to pay your small team of employees, your company must attain a weekly profit of $4800. Due to limitations on transportation, the number of weekly labor hours scheduled for in home service must be one third as much as the other two service types combined. Furthermore, your company values work-life balance, and you cap out the weekly labor hours at 320. You hope to determine the total weekly labor hours to allot to each type of service. Define x, y, and z to be the total weekly labor hours of in store service, in home service, and over the phone service, respectively. () [10 points] Identify the constraints in this problem, and use them to set up a system of linear equations that model this scenario. (b) [10 points] After applying Gauss-Jordan reduction, you arrive at the following augmented matrix: 96 0 1 0 80 01 144 What can you conclude from this matrix? Please explain your result in the context of the