1. A company produces four different products. They are processed through four different departments A, B, C, and D. The Table below gives the number of hours that each department spends on each products. Department Products P1 P2 P3 P4 D1 2 3 1 2 D2 2 2 4 D3 3 4 4 5 D4 3 2 2 1 3 Total production hours available each month in each department is as follows: Departments D1 D2 D3 D4 Hours 265 260 352 250 Formulate the appropriate system of linear equations to determine the quantities of the four products that can be produced in each month, so that all the all the hours available in all departments are fully utilized. Determine how much time each department spends for each product