Solve the following lpp by graphical method, Operation Research

A company manufactures two types of printed circuits. The requirements of transistors, resistors and capacitor for each type of printed circuits along with other data are given in table.

 

 

Circuit

Stock available (units)

A

B

Transistor

15

10

180

Resistor

10

20

200

Capacitor

15

20

210

Profit

Rs.5

Rs.8

 

How many circuits of each type should the company produce from the stock to earn maximum profit.

[Ans. Max Z = 82, 2 units of type A circuit and 9 units of type B circuit]

 

2. A company making cool drinks has 2 bottling plants located at towns T1 and T2. Each plant produces 3 drinks A, B and C and their production capacity per day is given in the table.

Cool drinks

Plant at

T1

T2

A

6000

2000

B

1000

2500

C

3000

3000

The marketing department of the company forecasts a demand of 80000 bottles of A, 22000 bottles of B and 40000 bottles of C during the month of June. The operating cost per day of plants at T1 and T2 are Rs. 6000 and Rs. 4000 respectively. Find graphically the number of days for which each plants must be run in June so as to minimize the operating cost while meeting the market demand.

[Ans. Min Z = Rs. 88000, 12 days for the plant T1 and 4 days for plant T2]

 

Solve the following LPP by graphical method

  1. Max Z = 3x1 + 4x2

Subject to

x1 - x2 ≤ -1

-x1+ x2 ≤ 0

x1 ≥ 0 , x2 ≥ 0

[Ans. The problem has no solution]

 

  1. Max Z = 3x1 + 2x2

Subject to

-2x1 + 3x2 ≤ 9

x1- 5x2 ≥ -20

x1 ≥ 0 , x2 ≥ 0

[Ans. The problem has unbounded solution]

 

  1. Max Z = 45x1 + 80x2

Subject to

5x1 + 20x2 ≤ 400

10x1+ 15x2 ≤ 450

x1 ≥ 0 , x2 ≥ 0

[Ans. Max Z = 2200, x1 = 24, x2 = 14]

Posted Date: 7/5/2012 1:28:16 AM | Location : United States







Related Discussions:- Solve the following lpp by graphical method, Assignment Help, Ask Question on Solve the following lpp by graphical method, Get Answer, Expert's Help, Solve the following lpp by graphical method Discussions

Write discussion on Solve the following lpp by graphical method
Your posts are moderated
Related Questions
In the judgement phase due care must be given to define correctly the frame of references of the operation. Objectives and values, whether economic social or aesthetic shoul

What kind of research situation do the two new brands present for Mr. Lynn company?

why does south africa regulate int''l trade

Consider a queueing system with 1 counter, to which groups of customers arrive according to a Poisson proces with intensity l. The size of a group is 1 with probability p and 2 wit

Line Balancing Methods - Heuristic Approach  Heuristic mean serving to find i.e. to find out discover things for oneself. Heuristic describes a particular approach to problem so

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual


Question A The basic characteristic feature of Operations Research is that it employs mathematical representations or models to analyse problems. Explain the methodology of Operat

This assignment requires you to evaluate a product from the view point of quality, both quality of design (as perceived by the user) and quality of conformance. To ensure that we a

application&techniques