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For All Practical Purposes Mathematical Literacy in Today’s World Eighth Edition Chapter 4: Linear Programming © 2010 W.H. Freeman & Co.

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A.(5, 3) B.(0, 6) C.(9, 0) 1. Graph the feasible region identified by the inequalities: 2x + 5y 0, y > 0 Which of these points is in the feasible region?

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ANSWER A.(5, 3) B.(0, 6) C.(9, 0) 1. Graph the feasible region identified by the inequalities: 2x + 5y 0, y > 0 Which of these points is in the feasible region?

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2. What are the resource inequalities for the following situation? Producing a wine rack requires three boards and three screws. Producing a fan requires four boards and one screw. Each wine rack yields $18 profit and each fan yields $15 profit. There are 30 boards and 40 screws available. A.3x + 3y 30, 4x + y 40, x 0, y 0 B.3x + 3y 18, 4x + 7 15, x 0, y 0 C.3x + 4y 30, 3x + y 40, x 0, y 0

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ANSWER 2. What are the resource inequalities for the following situation? Producing a wine rack requires three boards and three screws. Producing a fan requires four boards and one screw. Each wine rack yields $18 profit and each fan yields $15 profit. There are 30 boards and 40 screws available. A.3x + 3y 30, 4x + y 40, x 0, y 0 B.3x + 3y 18, 4x + 7 15, x 0, y 0 C.3x + 4y 30, 3x + y 40, x 0, y 0

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3. What is the profit formula for the following situation? Producing a wine rack requires three boards and three screws. Producing a fan requires four boards and one screw. Each wine rack yields $18 profit and each fan yields $15 profit. There are 30 boards and 40 screws available. A.P = 18x + 15y B.P = 30x + 40y C.P = 7x + 4y

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ANSWER 3. What is the profit formula for the following situation? Producing a wine rack requires three boards and three screws. Producing a fan requires four boards and one screw. Each wine rack yields $18 profit and each fan yields $15 profit. There are 30 boards and 40 screws available. A.P = 18x + 15y B.P = 30x + 40y C.P = 7x + 4y

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4. What is the resource constraint for the following situation? Computing pay check deductions (x) requires 3 minutes, and printing the pay check (y) requires 1 minute. A book-keeper has 30 minutes available. A.3x + y 30 B.X + y 30 C.3x + 3y 30

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ANSWER 4. What is the resource constraint for the following situation? Computing pay check deductions (x) requires 3 minutes, and printing the pay check (y) requires 1 minute. A book-keeper has 30 minutes available. A.3x + y 30 B.X + y 30 C.3x + 3y 30

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5. Where do the lines 7x – 2y = 14 and 2x – y = 10 intersect? A.At the point (-2, 14) B.At the point (14, 2) C.At the point (-2, -14)

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ANSWER 5. Where do the lines 7x – 2y = 14 and 2x – y = 10 intersect? A.At the point (-2, 14) B.At the point (14, 2) C.At the point (-2, -14)

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6. Where does the line 7x – 2y = 14 cross the x- axis? A.At the point (0, -7) B.At the point (2, 0) C.At the point (14, 0)

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ANSWER 6. Where does the line 7x – 2y = 14 cross the x- axis? A.At the point (0, -7) B.At the point (2, 0) C.At the point (14, 0)

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7. Which of the following are true statements? I. The simplex algorithm always gives optimal solutions to linear programming problems. II. The optimal solution for a linear programming problem will always occur at a corner point. A.Only I is true. B.Only II is true. C.Both I and II are true.

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ANSWER 7. Which of the following are true statements? I. The simplex algorithm always gives optimal solutions to linear programming problems. II. The optimal solution for a linear programming problem will always occur at a corner point. A.Only I is true. B.Only II is true. C.Both I and II are true.

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8. Which of the following are true statements? I. Transportation problems are a special class of linear-programming problems. II. Transportation problems are solved using the Simplex Method. A.Only I is true. B.Only II is true. C.Both I and II are true.

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ANSWER 8. Which of the following are true statements? I. Transportation problems are a special class of linear-programming problems. II. Transportation problems are solved using the Simplex Method. A.Only I is true. B.Only II is true. C.Both I and II are true.

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9. Best Buy has three stores that service a tri-county area. The three stores need to replenish their stock of Sony Multi-Media Computers with 10, 6, and 3 computers, respectively. HP Direct can supply 9 of the computers, PC Mall can supply 6 of the computers, and Computer Mart can supply 4 of them. Which of the following represents a solution using the Northwest Corner Rule? A.C. B.

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ANSWER 9. Best Buy has three stores that service a tri-county area. The three stores need to replenish their stock of Sony Multi-Media Computers with 10, 6, and 3 computers, respectively. HP Direct can supply 9 of the computers, PC Mall can supply 6 of the computers, and Computer Mart can supply 4 of them. Which of the following represents a solution using the Northwest Corner Rule? A.C. B.

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10. Given the following tableau, find the indicator value for cell B1. A.3 B.4 C.34

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ANSWER 10. Given the following tableau, find the indicator value for cell B1. A.3 B.4 C.34

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