A GT machine cell contains three machines. Machine 1 feeds machine 2 which is the key machine

Question:

A GT machine cell contains three machines. Machine 1 feeds machine 2 which is the key machine in the cell. Machine 2 feeds machine 3. The cell is set up to produce a family of five parts (A, B, C, D, and E). The operation times for each part at each machine are given in the table below. The products are to be produced in the ratios 4:3:2:2:1, respectively.
(a) If 35 hours per week are worked, determine how many of each product will be made by the cell.
(b) What is the utilization of each machine in the cell?