Attempt any four.

1 (a)
Competitive Advantage

5 M

1 (b)
M R P ? II

5 M

1 (c)
Explain the need of simulation

5 M

1 (d)
Economic order quantity

5 M

1 (e)
Input-Output Analysis

5 M

1 (f)
Purchasing in MPC

5 M

2 (a)
Solve the following L P problem using simplex method :

Maximum : z=3x

Subjected to the Constraints, -x

3x

x

x

Maximum : z=3x

_{1}+2x_{2}+5x_{3}Subjected to the Constraints, -x

_{1}-2x_{2}-x_{3}≥ 4303x

_{1}+ 2x_{3}≤ 460x

_{1 }+4 x_{2}≤ 420x

_{1}, x_{2}, x_{3}
12 M

2 (b)
Find the trend by least square method for data as follows :

Also find the demand for 2016

Year | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 |

Demand in 1000 Units | 85 | 75 | 80 | 72 | 65 | 60 | 55 |

Also find the demand for 2016

10 M

3 (a)
An automobile dealer wishes to put four repairmen to four different jobs. The repairmen have some what different kinds of skills and they exhibit different
levels of efficiency from one job to another. The dealer has estimated the number of man-hours that would be required for each job - man combination. This is given in the matrix from in adjacent table.

Find the optimum assignment that will result in minimum man-hours needed

Job/Man | A | B | C | D |

1 | 5 | 3 | 2 | 8 |

2 | 7 | 9 | 2 | 6 |

3 | 6 | 4 | 5 | 7 |

4 | 5 | 7 | 7 | 8 |

Find the optimum assignment that will result in minimum man-hours needed

10 M

3 (b)
A man goes to market to purchase buttons. He needs at least 20 large buttons and at least 30 small buttons. The shopkeeper sells buttons in two forms (i) boxes and (ii) cards. A box contains 2 large and 5 small buttons and a card 10 large and 5 small buttons. Find graphically the most economic way in which the man should purchase the buttons, if a box costs to paise and a card 25 paise only.

10 M

4 (a)
Explain the following :-

(i) Monte Carlo Technique

(ii) Capacity planning in MPC system

(i) Monte Carlo Technique

(ii) Capacity planning in MPC system

10 M

4 (b)
The Bombay Transport company has trucks available at four different sites in the following numbers.

Customers W,Y and Y require trucks as shown:

variable costs of getting trucks to the customers are- From A to W- Rs 7, to X - Rs 3, to Y - Rs 6

From C to W - Rs 5 , to X - Rs 8, to Y - Rs 4

From B to W - Rs 4, to X- Rs 6, to Y - Rs 8

From D to W - Rs 8, to X - RS 4 , to Y - Rs 3

Solve the transportation problem.

Site | A | B | C | D |

No. of Trucks | 5 | 10 | 7 | 3 |

Customers W,Y and Y require trucks as shown:

Customers | W | X | Y |

No. of Trucks | 5 | 8 | 10 |

variable costs of getting trucks to the customers are- From A to W- Rs 7, to X - Rs 3, to Y - Rs 6

From C to W - Rs 5 , to X - Rs 8, to Y - Rs 4

From B to W - Rs 4, to X- Rs 6, to Y - Rs 8

From D to W - Rs 8, to X - RS 4 , to Y - Rs 3

Solve the transportation problem.

10 M

5 (a)
A textile mill buys its raw material from a vendor. The annual demand of the raw material is 9000 units. The ordering cost is Rs.100 per order and the carrying
cost is 20% of the purchase price per month, where the purchase price per unit is Re.1. Find the following :

Economic order quantity (EOQ)

(b) Total cost w.r.t. EOQ

(c) Number of orders per year

(d) Time between consecutive two orders.

Economic order quantity (EOQ)

(b) Total cost w.r.t. EOQ

(c) Number of orders per year

(d) Time between consecutive two orders.

10 M

5 (b)
Use graphical method to minimise the time needed to process the following jobs on Machines A, B, C, D and E. Find the total time lapsed to complete both jobs.
Also find for job, the machines on which it should be processed first.

Job 1 | Sequence | A | B | C | D | E |

Time (Hrs) | 2 | 3 | 5 | 2 | 1 | |

Job 2 | Sequence | D | C | A | B | E |

Time (Hrs) | 6 | 2 | 3 | 1 | 3 |

10 M

6 (a)
Consider the following data for the activities of a project :

i) Draw a network diagram for this project

ii) Find the critical path and duration of the project

iii) Find the total, independent floats of various activities

Activity | A | B | C | D | E | F | G | H | I | J | K | L | M |

Immediate Predecessors | - | - | B | C | A,D | D | A,D | E | G,H | I | G | J,K | L |

Duration (Days) | 6 | 5 | 2 | 2 | 2 | 1 | 6 | 5 | 6 | 2 | 4 | 3 | 1 |

i) Draw a network diagram for this project

ii) Find the critical path and duration of the project

iii) Find the total, independent floats of various activities

12 M

6 (b)
Explain JIT concept? Also explain JIT purchasing in detail with diagram.

8 M

7 (a)
What are the various strategies for Aggregate planning? Explain

5 M

7 (b)
Construct the dual of the problem

Maximize : z=4x

x

x

x

x

Maximize : z=4x

_{1}+2x_{2}x

_{1}- 2x_{2}≥ 2x

_{1}+2x_{2}=8x

_{1}-x_{2}≤ 10x

_{1 }≥ 0, x_{2}Unrestricted in sign
5 M

7 (c)
Use graphical method to solve following L.P.P.

Maximize : z=2x

Subject to the constraints x≤ 30

x

0 ≤ x

0 ≤ x

x

x

Maximize : z=2x

_{1}+3x_{2}Subject to the constraints x

_{1}+xx

_{2}≥ 3

0 ≤ x

_{2}≤ 12

0 ≤ x

_{1}≤ 20

x

_{1 }- x

_{2}≥ 0

x

_{1}, x

_{2}≥ 0

10 M

More question papers from Production Planning and Control