Linear programming examples, Operation Research

Assignment Help:

Solved LP Sample Assignment & Questions

A person desires to decide the ingredients of a diet which will satisfy his routine necessities of fats, proteins, and carbohydrates at the minimum cost. The selection is to be made from four different kinds of foods. The yields per unit of these foods are given below in the table.

Food Type

Yield/unit

Cost/Unit

Rs

Proteins

Fats

Carbohydrates

1

3

2

6

45

2

4

2

4

40

3

8

7

7

85

4

6

5

4

65

Minimum Requirement

800

200

700

 

Develop the LP for the problem.

Answer

Assume

x1 - number of units of food type l

     x2 - number of units of food type 2

     x3 - number of units of food type 3

     x4 - number of units of food type 4

 

Minimize Z = 45x1 + 40x2 + 85x3 + 65x4

Subject to

3x1 + 4x2 + 8x3 + 6x4 ≥ 800

2x1 + 2x2 + 7x3 + 5x4 ≥ 200

6x1 + 4x2 + 7x3 + 4x4 ≥ 700

                        x1≥0, x2 ≥0, x3≥0, x4≥0

 


Related Discussions:- Linear programming examples

LPP, Solve the following Linear Programming Problem using Simple method. Ma...

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

CORE TECHNOLOGY TO WATCH IN FUTURE, AI TECHNOLOGY''S CURRENT AND POTENTIAL ...

AI TECHNOLOGY''S CURRENT AND POTENTIAL FUTURE APPLICATIONS

Linear programing, Solve the following Linear Programming Problem using Sim...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2

Graphical solution procedure, Graphical Solution Procedure sample assignmen...

Graphical Solution Procedure sample assignment and solved questions, free examples and solved homework samples for Graphical Solution Procedure in operation research. Question

Network problem, Consider the following network where the value on each arc...

Consider the following network where the value on each arc represents the capacity of that arc. Use the augmenting path algorithm to find the value of the maximum flow from node 1

Linear programming , the application areas of linear programming

the application areas of linear programming

LINEAR PROGRAMMING, b. A paper mill produces two grades of paper viz., X an...

b. A 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 pape

Draw a network for the project adn determine the critical pa, a)Draw a netw...

a)Draw a network for the project. b)Determine the critical path. Activity Duration Activity Duration 1-2 15 5-10 22 1-3 13 6-9 33 1-4 1

LPP, . A paper mill produces two grades of paper viz., X and Y. Because of ...

. A 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 paper

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