Problems based on lpp when feasible region is unbounded, Operation Research

Assignment Help:

Problems based on LPP when feasible region is unbounded.

1. Minimize z = 3x + 5y subject to constraints

X + y ≥ 2

X + 3y ≥ 3

X, y ≥ 0

script

solution

1. Let z = 3x + 5y

2. Let us Draw the line x + y = 6 and x + 3y = 3 using suitable points on the graph.

3.These lines intersect at

4. Now shade the region of intersection of these lines

5.Vertices of shaded feasible region are

Now,

At C(3,0)

At P(3\2,1\2)

At B(0,2)

Therefore at P(3\2,1\2), z=3x+5y is minimum

P(3\2,1\2)

(3,0) P(3\2,1\2) and B(0,2)

Z= 3x + 5y

Z= 9

Z= 7

Z= 10

Related Discussions:- Problems based on lpp when feasible region is unbounded

Cpm/pert, how to make an attractive assignment

how to make an attractive assignment

Linear Equation, Cohen Chemicals, produces two types of photo-developing fl...

Cohen Chemicals, produces two types of photo-developing fluids. The first, a black and white picture chemical, costs Cohen $2500 per ton to produce. The second, a colour photo chem

One sample runs test - hypothesis testing, ONE SAMPLE RUNS TEST A ...

ONE SAMPLE RUNS TEST A number of methods have been developed fro judging the randomness of samples on the basis of the order in which teh observations are taken. It is

How to solve operation research optimization questions, how to solve operat...

how to solve operation research optimization questions

Assignment problem, a c++ program to implement assignment problem??????????...

a c++ program to implement assignment problem???????????

Pert and cpm, what is pert and cpm?

what is pert and cpm?

Determine the best age at which to replace the machine, Question: Machi...

Question: Machine A costs Rs. 9000. Annual operating costs are Rs. 200 for the first year, and then increase by Rs. 2000 every year. Suppose that the machine has no resale valu

Determining sample size for estimating poportions, Determining Sample Size ...

Determining Sample Size for Estimating poportions It is necessary to determining the sample size for a problem involving proportions. This deals with the percentage of f

Non parametric tests - hypothesis testing, NON PARAMETRIC TESTS All ...

NON PARAMETRIC TESTS All practical data follow normal distribution under such situations can estimate the parameters such as mean variance etc ,,, and use the standard

Inventory Control Model, 1. A local university purchases exercise books to ...

1. A local university purchases exercise books to give to their students. Instead of a fixed unit cost, their supplier quotes the following discount pricing: Order quantity Unit P

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages