[SOLVED] Indr 371 homework-7

Consider the product mix problem summarized in the table with 3 products (A, B, and C) and 5 types of
resources (1,2,3,4,5). There may be multiple workers working in parallel for each resource. Assume that
all workers have 8 hours per day. The number of workers in each resource and the times required for each
activity (product) in each resource are given in Table 1.
Table 1 process times for sub products
Work
stations
Number of
workers
Activity time for A
(Min/Unit)
Activity time for B
(Min/Unit)
Activity time for C
(Min/Unit)
1 5 5 5 5
2 4 3 4 5
3 4 15 0 0
4 6 0 4 3
5 8 10 10 10
1) For the given setting answer the following questions:
a. What is the maximum flow rate if demand must be served in the mix determined by the demand
rate (7 units of A, 5 units of B, and 4 units of C)?
b. What is the bottleneck workstation,
c. What is the utilization of workstations?
2) Assume that the activity times given in Table 1 are for experienced workers and the time requirements
are %50 more for inexperienced workers. Also, assume that our workforce is composed of 12
experienced and 15 inexperienced workers that can be assigned to any workstation. Formulate and
solve a linear program (with your favorite mathematical solver) to find the optimal workforce
assignment to workstations to maximize the flow rate.