Question icon
Magical Mathematics[Interesting Approach]

Please guide for below mention problem. I'll very helpful for your co-operation and refer to my friend for this usefull site.

(1) The demand and capacities for production of company is given below. Demand for January, February and March are 900, 300 and 700 respectively. The production capacities for each of the month are given below.

January February March

Regular time 600 300 200

Over time 300 300 300

Sub contracted 500 500 500

The production cost per unit during regular time is Rs 60, during over time is Rs 70, and the sub contracted cost is Rs 72. The cost of carrying inventory is Rs 5 per unit per month. The cost of unused regular time capacity is Rs 15. Find the optimum production plan using transportation model.

2) A company is setting up an assembly line to produce 192 units per eight-hour shift. The following table identifies the work elements, items, and immediate predecessors.

Work element

Time (seconds)

Immediate predecessor(s)

A

40

None

B

80

A

C

30

D, E, F

D

25

B

E

20

B

F

15

B

G

120

A

H

145

G

I

130

H

J

115

C, I

Total

720

Questions:

a) What is the desired cycle time?

b) What is the theoretical minimum number of work stations?

c) Use the largest work element time rule to work out a solution.

d) What are the idle time, efficiency and balance delay for the solution?

Profile image of Sanjay Kumar
15 Years agoGrade
Answers icon

1 Answer

Profile image of Sanjay Kumar
15 Years ago

I didn't received any one solution, Pls solved this and confirm.

 

The demand and capacities for production of company is given below. Demand for January, February and March are 900, 300 and 700 respectively. The production capacities for each of the month are given below.

                                                January             February                       March

            Regular time                  600                               300                               200

            Over time                      300                               300                               300

            Sub contracted             500                               500                               500

The production cost per unit during regular time is Rs 60, during over time is Rs 70, and the sub contracted cost is Rs 72. The cost of carrying inventory is Rs 5 per unit per month. The cost of unused regular time capacity is Rs 15. Find the optimum production plan using transportation model.