*18. An assembly line consisting of three consecutive stations produces two radio models: HiFi1 and HiFi-2. The following table provides the assembly times for the three workstations.

Minutes per unit Workstation 1

2 3

HiFi-1 6

5 4

HiFi-2 4

5 6

2.

The daily maintenance for stations 1,2, and 3 consumes 10%,14%, and 12%, respectively, of the maximum 480 minutes available for each station each day. Determine the optimal product mix that will minimize the idle (or unused) times in the three workstations.

19. TORA Experiment. Enter the following LP intoTORA and select the graphic solution mode to reveal the LP graphic screen.

Minimize z = 3xI + 8Xl subject to XI + Xl ~ 8 2xI - 3xz s 0 Xl + 2X2 S 30 3x\ - X2 ~ 0 Xl S 10 Xz ~ 9 Xl> X2 ~ 0 Next, on a sheet of paper, graph and scale the xI- and xraxes for the problem (you may also click Print Graph on the top of the right window to obtain a ready-to-use scaled sheet). Now, graph a constraint manually on the prepared sheet, then click it on the left window of the screen to check your answer. Repeat the same for each constraint and then terminate the procedure with a graph of the objective function. The suggested process is designed to test and reinforce your understanding of the graphical LP solution through immediate feedback from TORA.