Question Paper: Production Planning and Control : Question Paper May 2016 - Mechanical Engineering (Semester 7) | Mumbai University (MU)
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## Production Planning and Control - May 2016

### Mechanical Engineering (Semester 7)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks.

### Attempt any four

1(a) Why there is a need for PPC department?(5 marks) 1(b) What are the reasons for storing the inventory?(5 marks) 1(c) What are the problems faced in case of lack of product planning?(5 marks) 1(d) What is ABC analysis?(5 marks) 1(e) What are the factors influencing scheduling?(5 marks) 2(a) What are the different types of manufacturing methods?(10 marks) 2(b) What is a work order? How is it prepared in different manufacturing methods?(10 marks) 3(a) A company wishes to assign 4 salesmen to 4 districts. The volume of sales matrix is given below. Make the optimal assignment which results in maximum volume of sales.

 Salesmen Districts A B C D 1 250 300 420 400 2 350 400 200 250 3 500 375 400 350 4 400 350 420 300
(10 marks) 3(b) There are seven jobs which are to be pressed first on machine M-I and then on machine M-II. Processing times in hours are given below. Find the optimal sequence and total elapsed time. Find the idle time on machine M-II.
 Job A B C D E F G M-I 6 24 30 12 20 22 18 M-II 16 20 20 13 24 2 6
(10 marks)
4(a) Universal tooling has a requirement for 1,50,000 metal bushings per annum. The company orders the metal bushings in lots of 40,000 units from a supplier. The ordering cost is Rs.40 and the carrying charges are expressed 20% of the unit cost. The bush cost Rs.1.5 each. The company wants to know that percentage of their order quantity differs from economic order quantity and how the cost varies for the two. Find the optimal order quantity.(10 marks) 4(b) What are the assumptions in Linear Programming?
A kitchen manager at a hospital has to decide the food mix for the patients. Dietary instructions are that each patient must get at least, one gm. Of protein, one gm. Of fat and 3 gms. Of carbohydrates. Additional instructions are that in no case the carbohydrates should exceed 6 gms. Per patient.
The availability of protein, fat, adn carbohydrates in gms. Per kg of chicken, rice and bread is given as follows,
 Protein Fat Carbohydrates Price/kg Chicken 10 2 0 30 Rice 2 1 15 5 Bread 2 0 10 4

Formulate a suitable mathematical model for the above diet mix assuming 100 patients on that day.
(10 marks)
5(a) A project is composed of the following activities whose time estimates are given below, (estimated activity duration in weeks)
 Activity Optimistic Most Likely Pessimistic 1-2 1 1 7 1-3 1 4 7 1-4 2 2 8 2-5 1 1 1 3-5 2 5 14 4-6 2 5 8 5-6 3 6 15
a) Draw the network and find the critical path.
b) Find the expected duration and variance for each activity.
c) Calculate the standard deviation of project length.
(10 marks)
5(b) What is the importance of a process sheet? What details does a process sheet contain?(10 marks)

### Write short notes on

6(a) PPC as an integrated approach(5 marks) 6(b) ERP(5 marks) 6(c) Compute Aided Process Planning(5 marks) 6(d) Dispatching(5 marks)