Solving LPP Graphical Method
Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize..
Graphical Method of Solution of a Linear Programming Problem
The graphical method is applicable to solve the LPP involving two decision variables x 1 , and x 2 , we usually take these decision variables as x, y instead of x 1 , x 2 . To solve an LPP , the graphical method includes two major ..
Presentation of data in tabular and graphical form
Results and observations of scientific experiments should be properly recorded under headed columns and numbered rows. The headings must include the units in which each quantity is measured. Graphs are very helpful in comparing measurements. The general rule in plotting the graph of a given data ..
Different Types (Methods) of Linear Programming
Some of the methods of linear programming are: The Graphical Method The Analytical Method The Simplex Method In the graphical method, the constraints are actually drawn as straight lines and the optimal solution is found. This method ..
Conclusion
The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex ..
Example:
Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y. Subject to the constraints ..
Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y. Subject to the constraints ..Question 12
Step I: We draw the lines x + y = 3 ...(i) x + 2y = 4 ...(ii) x = 0 ...(iii) y = 0 ...(iv) (i) and (ii) can be written as Now (i) passes through the points A(3,0) and B(0,3) and (ii) passes through the points C(4,0) and D(0,2). Solving (i) and (ii), we get Therefore, the coordin..
Step I: We draw the lines x + y = 3 ...(i) x + 2y = 4 ...(ii) x = 0 ...(iii) y = 0 ...(iv) (i) and (ii) can be written as Now (i) passes through the points A(3,0) and B(0,3) and (ii) passes through the points C(4,0) and D(0,2). Solving (i) and (ii), we get Therefore, the coordin..Summary
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| ..
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| ..Matrices and Determinants >A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| ..
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| ..See what our Users say :
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