Learn how to solve a linear programming problem

The video tutorial covers writing inequalities in slope-intercept form, transforming equations, graphing inequalities, identifying feasible regions and vertices, and evaluating an objective function to find the maximum value. The teacher explains each step in detail, using examples and encouraging practice.

What is the first step in converting an inequality to slope-intercept form?

• Multiply by 2

• Solve for y

• Solve for x

• Add 9 to both sides

When graphing the inequality y ≤ -3x + 7, where should you shade?

• To the left of the line

• To the right of the line

• Above the line

• Below the line

What does the feasible region represent in a graph of inequalities?

• The slope of the line

• The area where no inequalities are satisfied

• The area where all inequalities are satisfied

• The intersection of two lines

How do you determine the vertices of the feasible region?

• By identifying the intersection points of the inequalities

• By calculating the midpoint of the graph

• By finding the slope of each line

• By shading the graph

What is the objective function used for in the context of inequalities?

• To determine the maximum or minimum value of a function

• To solve for x

• To find the slope of a line

• To calculate the y-intercept

Which point gives the maximum value for the function 2x + y?

• (1, 4)

• (0, 4.5)

• (0, 0)

• (7/3, 0)

What is the maximum value of the function 2x + y at the point (1, 4)?

• 0

• 6

• 4.5

• 4.66