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


Solve any four Q1 (a,b,c,d,e,f)

1(a) What are the functions of PPC(5 marks) 1(b) What kind of pre-requisite data is a must to actuallybegin with the activities of PPC?(5 marks) 1(c) Explain the different types of production system and their characteristics.(5 marks) 1(d) State the objectives and Inputs of an MRP system.(5 marks) 1(e) Explain computer aided process planning.(5 marks) 1(f) Briefly explain Gantt chart.(5 marks) 2(a) Explain the process of preparing work orders in different types of production units.(10 marks) 2(b) Annual requirement of an item is 2400 units. Each item cost the company Rs.6/unit. The manufacturer offers discount 5% if 500 or more quantities are purchased. The ordering cost is RS 32/ order and inventory cost is 16% Whether it is advisable to accept the discount? Comment.(10 marks) 3(a) Following table shows the sales forecast of internet connections in a city for last ten years

Year 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
Sales 110 115 123 131 141 149 160 168 176 186

1) Find the forecast for the year 2017 using appropriate method
2) How do you justify the method adopted is correct.(10 marks) 3(b) A part drawing is shown in the figure is a Gear shaft for water pump. Prepare the process sheet with sequence of operation,
description of operation,
Machine required ,
tools required, fixture required and process pictures.
!mage Gear shaft for Water pump Material : 25 mm diameter SAE 1030 cold drawn steel. All Tolerances:±0.05 unless specified All dimensions are in mm. Number of parts required: 05
(10 marks)
4(a) A company has the facility to produce power amplifiers and preamplifiers. The resources are limited and the company should produce the appropriate number of power and pre amplifiers in order to maximize the profit from these products. The power amplifier fetches a profit of RS. 400 per unit and pre-amplifier fetches a profit of Rs. 1000 per unit. At the most 80 preamplifiers can be manufactured in a day. There are 480 hours of assembly time available each day. Furthermore, each power amplifier requires 2.4 hours for assembly and each Pre-amplifier requires 8 hrs. Finally there 162 work-hrs available for inspection and testing each day and it requires 1 work-hr for power-amp and 2 work-hr for pre-amp respectively.
i) Formulate this problem as a LP model
ii) Find the optimal solution by any suitable method.
(10 marks)
4(b) Construct the network diagram for the activities given in the table below. The three time estimates for each activity are given in the table and are provided in weeks.
i) Draw the network diagram
ii) Determine the critical path and expected project duration.
iii) Compute the variance on the critical path
iv) What is the probability of completing the project in twenty weeks?
  Duration (weeks)
Activities optimistic Most pessimistic
1-2 5 6 13
2-3 2 2 2
2-4 2 5 8
2-5 6 8 10
3-5 3 5 7
4-5 1 3 5
5-6 2 3 10
(10 marks)
5(a) Consider a network problem for which the data is given the below table. Crash systematically the activities and determine the optimum project duration and cost. Indirect cost is RS. 70 per day.
Activity Normal Crash  
Time (days) Cost (Rs) Time(days) Cost(Rs) Slope
1-2 8 100 6 200 50
1-3 4 150 2 350 100
2 2 50 1 90 40
  10 100 5 400 60
  5 100 1 200 25
  3 80 1 100 10
(10 marks)
5(b) There are seven job each which has to go the machines A and B in the order AB. Processing times in hours are given as
Jobs 1 2 3 4 5 6 7
Machine  A 3 12 15 6 10 11 9
Machine  B 8 10 10 6 12 1 3
Determine the sequence of these jobs that will minimize the total elapsed time T. Also, give the idle time for machine A and Machine B
(10 marks)
6(a) What are the principle functions of Dispatching ? What are the documents generally prepared while performing Dispatching function?(10 marks) 6(b) What are the significant causes of failure of a product? What are the essentials of the product planning?(10 marks)

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