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The Graphical Method
- Step 1: Formulate the LP (Linear programming) problem.
- Step 2: Construct a graph and plot the constraint lines.
- Step 3: Determine the valid side of each constraint line.
- Step 4: Identify the feasible solution region.
- Step 5: Plot the objective function on the graph.
- Step 6: Find the optimum point.
Also to know is, how do you solve a problem graphically?
To solve an equation means to find all the values that make the statement true. To solve an equation graphically, draw the graph for each side, member, of the equation and see where the curves cross, are equal. The x values of these points, are the solutions to the equation.
- Step 1: Multiply the entire first equation by 2.
- Step 2: Rewrite the system of equations, replacing the first equation with the new equation.
- Step 3: Add the equations.
- Step 4: Solve for x.
- Step 5: Find the y-value by substituting in 3 for x in either equation.
Correspondingly, how do you know you have the correct solution?
To check if a given value is a solution to an equation:
- Evaluate the left-hand side expression at the given value to get a number.
- Evaluate the right-hand side expression at the given value to get a number.
- See if the numbers match.
How to Graph a Linear Inequality
- Rearrange the equation so "y" is on the left and everything else on the right.
- Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).