Exam 4: Linear Programming

Name two alternatives to the graphical approach for solving linear programming problems.

Explain why a linear programming mixture problem might have minimum constraints other than zero.

Find the point of intersection of the lines with equations x + 4y = 11 and 2x + 5y = 16.

Graph the feasible region identified by the inequalities: 4x+3y\leq12 3x+3y\leq18 x\geq0,y\geq0

Use the following to answer the Questions: concern the following tableau for a shipping problem. -What is the indicator value of cell (II, 2)?

Use the following to answer the Questions: concern the following tableau for a shipping problem. -What is the cost of the optimal solution to this shipping problem?

Find the point of intersection for the lines represented by the equations 2x + 7y = 61 and 3x + 4y = 46.

Graph the constraint inequalities for a linear programming problem shown below. Which feasible region shown is correct? 2x+3y\leq12 x\geq0,y\geq0

Sketch the graph of the equation x + 3y = 9.

Find the constraint inequalities and the profit formula for this linear programming mixture problem: Toni has a small business producing dried floral wreaths and table arrangements. Each wreath takes seven hours to produce, uses 12 stems of flowers, and earns a profit of $23. Each table arrangement takes five hours to produce, uses 20 stems of flowers, and earns a profit of $26. Toni can work no more than 30 hours per week and has a steady supply of 100 stems of dried flowers per week. How should Toni schedule production to optimize profit?

Graph the constraint inequalities for a linear programming problem shown below. Which feasible region shown is correct? 1x+4y\leq8 x\geq0,y\geq0

An optimal production policy for a linear programming mixture problem may eliminate one product.

What type of solution does the Stepping Stone Method produce for the transportation problem?

Suppose the feasible region has four corners at these points: (0, 0), (8, 0), (0, 12), and (4, 8). If the profit formula is P = $2x + $4y, what is the maximum profit possible?

What is a tableau of a transportation problem?

Find the graph of the inequality 3x + 7y  21.

Write a profit formula for this mixture problem: Kim and Lynn produce pottery vases (x) and bowls (y). A vase requires 35 oz of clay and 5 oz of glaze. A bowl requires 20 oz of clay and 10 oz of glaze. There are 500 oz of clay available and 200 oz of glaze available. The profit on one vase is $5 and the profit on one bowl is $4.

For a linear programming problem, the_______ set/region is the collection of all physically possible solution choices that can be made.

Find the point of intersection of the lines whose equations are 6x + 5y = 80 and 2x + y = 20.

Sketch the graph of the inequality 5x + y  15.