plot feasible region

Bill owns two triangular plots ABC, ADE with areas a ft 2 , b ft 2 respectively. He wants to buy the triangular plots ABD, ACE as shown in the figure and he approached a bank for a loan. Bank accepted to give a loan of $1000 per square ft. Find the minimum amount that he can get..

Shade the intersection of all the half planes which is the feasible region..

The graph of the linear system of constraints is called ______. => The constraint region or The feasible region or The linear region or The linear graph..

The optimal solution to a LPP, if it exists, occurs at the corners of the feasible region. The method includes the following st..

To maximise Z draw a line parallel to ax + by = k and farthest from the origin. This line should contain at least one point of the feasible region. Find the coordinates of this point by solving the equations of the lines on which it lies. To minimise Z draw a line parallel to ..

We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 (50, 0) is a point on the line (2) put x = 0 in (2), y =100 (0, 100) is the other point on the line (2) Plotting these two poi..

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) the objective function Z, then we say that these values of x i are the optimal so..

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 steps. a) The determination of the solution space that d..

1 , x 2 , x 3 ,.,x n which satisfy all the constraints and also the non-negativity conditions is called the feasible solution of the LPP. Optimal Solution: The feasible solution, which optimises (i.e., maximizes or minimizes as the case may be) the objective function i..

since x 0, y 0, consider only the first quadrant of the plane graph the following straight lines on a graph paper 10x + 5y = 80 or 2x+y =16 6x + 6y = 66 or x+y =11 4x+ 8y = 24 or x+ 2y = 6 5x + 6y = 90 Identify all the half planes of the constraints. The intersection of all these half planes is th..