Solve by computational procedure of big – m method, Operation Research

Assignment Help:

Example 2

Max Z = 3x1 - x2

Subject to

            2x1 + x2 ≥ 2

            x1 + 3x2 ≤ 3

            x2 ≤ 4

    &     x1 ≥ 0, x≥ 0

 

Answer

SLPP

Max Z = 3x1 - x2 + 0s1 + 0s2 + 0s3 - M a1

    Subject to

                        2x1 + x2 - s1+ a1= 2

                        x1 + 3x2 + s2  = 3

                        x2 + s3 = 4

                        x1 , x2 , s1, s2, s3, a≥ 0    

 

 

As all Δj ≥ 0, optimal basic feasible solution is achieved. Hence the solution is Max Z = 9, x1 = 3, x2 = 0

 

816_Big_M_Method.png


Related Discussions:- Solve by computational procedure of big – m method

Plz get the ans , #questioA paper mill produces two grades of paper viz., X...

#questioA paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Quartiles, QUARTILES The three points on the scale  of observation ( o...

QUARTILES The three points on the scale  of observation ( or  values  of the variable) which  divide  the total  frequency  into four  equal  parts are called  quartiles for t

Inventory control research, Given an inventory system where Yearly demand ...

Given an inventory system where Yearly demand = 120 units Ordering cost = Sh. 45 Price per unit = Sh. 200 Annual carrying cost = 24% of the unit cost Determine The economic or

A paper mill, A paper mill products two grade of paper viz., X & Y. Because...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Operational performance and price, An electro-mechanical product for use in...

An electro-mechanical product for use in a vehicle has been in widespread use for some time and has proved popular with customers, in terms of its operational performance and price

Simple line graphs , Simple Line Graphs a. Simple  Histogram A simpl...

Simple Line Graphs a. Simple  Histogram A simple histogram  is a techniques  used  plotting  a time  series on the graph paper. The data are arranged according to  the time

Conflicts of interest and related change in medical research, Conflicts of ...

Conflicts of Interest and Related Change in Medical Research The significant increase in private industry drug studies has spawned three other changes in medical research: med

Transpotation problem, a manufacture wants to ship 8 loads of his product a...

a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D. Origin Destination Available A B C X 50 30 220

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd