Consider the portion of the sensitivity analysis report that follows.The allowable range of optimality for variable Kidney Beans is from ______ to ______. \[\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cell } & \text { Name } & \begin{array} { l } \text { Final } \\ \text { Value } \end{array} & \begin{array} { l } \text { Reduced } \\ \text { Cost } \end{array} & \begin{array} { l } \text { Objective } \\ \text { Coefficient } \end{array} & \begin{array} { l } \text { Allowable } \\ \text { lncrease } \end{array} & \begin{array} { l } \text { Alowable } \\ \text { Decrease } \end{array} \\ \hline \$ \mathrm { D } \$4 & \begin{array} { l } \text { Kidney } \\ \text { Beans } \end{array} & 1.000 & 0.000 & 1.000 & 0.500 & 0.100 \\ \hline \$ \text { E\$4 } & \text { Tofu } & \mathbf { 3 . 0 0 0 } & 0.000 & 1.500 & 0.167 & 0.500 \\ \hline \end{array}\]

A) 0.9 to 1.5 B) 0.1 to 0.5 C) 0.5 to 0.167 D) 20 to 40 A) 0.9 to 1.5 B) 0.1 to 0.5 C) 0.5 to 0.167 D) 20 to 40

Consider the portion of the sensitivity analysis report that follows.The current optimal solution will not change as long as the objective coefficient of X₁ is within the range of ______. \[\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cell } & \text { Name } & \begin{array} { l } \text { Final } \\ \text { Value } \end{array} & \begin{array} { l } \text { Reduced } \\ \text { Cost } \end{array} & \begin{array} { l } \text { Objective } \\ \text { Coefficient } \end{array} & \begin{array} { l } \text { Allowable } \\ \text { Increase } \end{array} & \begin{array} { l } \text { Allowable } \\ \text { Decrease } \end{array} \\ \hline \text { \$F\$6 } & \begin{array} { l } \text { Shirt } \\ \text { (X1) } \end{array} & 24 & 0 & 5 & 4 & 1 \\ \hline \text { \$G\$6 } & \begin{array} { l } \text { Pants } \\ \text { (X2) } \end{array} & 84 & 0 & 6 & 1.5 & 2.666667 \\ \hline \end{array}\]

A) 4 to 9 B) 1 to 4 C) 5 to 9 D) 3 to 6 A) 4 to 9 B) 1 to 4 C) 5 to 9 D) 3 to 6

Consider the portion of the sensitivity analysis report that follows.Increasing the right-hand side constraint for $I$7 by 1 unit (240 to 241)will result in which of the following? \[\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cell } & \text { Name } & \begin{array} { l } \text { Final } \\ \text { Value } \end{array} & \begin{array} { l } \text { Shadow } \\ \text { Price } \end{array} & \begin{array} { l } \text { Constraint } \\ R \mathrm { H } \text {. Side } \end{array} & \begin{array} { l } \text { Allowable } \\ \text { Increase } \end{array} & \begin{array} { l } \text { Alowable } \\ \text { Decrease } \end{array} \\ \hline \$ 1 \$ 7 & \begin{array} { l } < = \\ \text { Usage } \end{array} & 240 & 0.6 & 240 & 210 & 40 \\ \hline \$ 1 \$ 8 & \begin{array} { l } < = \\ \text { Usage } \end{array} & 150 & 3.2 & 150 & 30 & 70 \\ \hline \end{array}\]

A) decrease the profit by $0.6 B) increase the profit by $3.2 C) increase the profit by $0.6. D) decrease the profit by $0.6. A) decrease the profit by $0.6 B) increase the profit by $3.2 C) increase the profit by $0.6. D) decrease the profit by $0.6.

A school is trying to determine a nutritional diet to feed its students.The school would like to offer some combination of milk and beans.The school's objective is to minimize cost,subject to meeting the minimum nutritional requirements of protein,calcium,and calories.The cost and nutritional content of each food,along with the minimum nutritional requirements are shown here. \[\begin{array} { | l | l | l | l | } \hline \text { Nutrient } & \begin{array} { l } \text { Kidney } \\ \text { Beans } \end{array} & \text { Tofu } & \begin{array} { l } \text { Minimum Daily } \\ \text { Requirement } \end{array} \\ \hline \text { Cost per pound } & \$ 0.90 & \$ 1.50 & \\ \hline \begin{array} { l } \text { Calcium in units per } \\ \text { pound } \end{array} & 15 & 6 & 30 \\ \hline \text { Protein in units per pound } & 10 & 10 & 40 \\ \hline \begin{array} { l } \text { Calories in units per } \\ \text { pound } \end{array} & 3 & 9 & 18 \\ \hline \end{array}\] At the optimum solution,what is the cost of tofu in the diet?

A) $0.95 B) $1.22 C) $2.65 D) $1.50 A) $0.95 B) $1.22 C) $2.65 D) $1.50

Exam 24: Linear Programming

Diamond Plywood,Inc.,manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time in hours required for each operation for each panel,the total capacity available for each these operations in a given month,as well as the minimum production requirements and the profit contributions per panel are given in the following table.Based on this information,at the optimal production point what is the quantity of tropical plywood panels that Diamond Plywood will produce?

(Multiple Choice)

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Question 61

Diamond Plywood,Inc.,manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time in hours required for each operation for each panel,the total capacity available for each these operations in a given month,as well as the minimum production requirements and the profit contributions per panel are given in the following table.Based on this information,at the optimal production point what is the quantity of hardwood plywood panels that Diamond Plywood will produce?

(Multiple Choice)

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Question 62

Maureen,hospital administrator for Trinity Hospital,would like to set up a work schedule for the hospital's nurses.Each nurse will work for 8 consecutive hours.The minimum number of nurses needed in each of six 4-hour time intervals is shown in the following table.At the optimal staffing level,what will the maximum number of nurses during any 4-hour interval be? Time interval 00-04 04-08 08-12 12-16 16-20 20-24 Minimum number of nurses required 7 8 22 26 18 12

(Multiple Choice)

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Question 63

Consider the portion of the sensitivity analysis report that follows.The allowable range of optimality for variable Kidney Beans is from to . Cell Name Final Value Reduced Cost Objective Coefficient Allowable lncrease Alowable Decrease \ \4 Kidney Beans 1.000 0.000 1.000 0.500 0.100 \ E \4 Tofu 0.000 1.500 0.167 0.500

(Multiple Choice)

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Question 64

Which of the following is NOT a feature common to all linear programming problems?

(Multiple Choice)

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Question 65

In the Excel Solver parameters window,which of the following buttons should be clicked to add a constraint?

(Multiple Choice)

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Question 66

ABC,Inc.,is a small clothing manufacturer that produces shirts and pants using two resources: sewing machine hours and cutting machine hours.The production manager can schedule up to 240 hours of sewing machine time and up to 150 hour cutting machine time.Production of one shirt requires 3 hours of sewing time and 1 hour of cutting time.Each pair of pants requires 2 hours of sewing time and 1.5 hours of cutting time.Each shirt yields a profit of $5,and each pair of pants generates a $6 profit.The objective is to maximize profits.Determine cutting time constraint for the LP formulation.Let X₁ = Number of shirts to be produced,X₂ = Number of pairs of pants to be produced.Which one of the following is NOT one of the corner points (x1,x2)in this LP formulation?

(Multiple Choice)

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Question 67

XYZ manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time requirements for each panel,the capacity available,the minimum production requirements,and the profit contributions per panel are tabled here.Identify the objective function.Let x1 = Number of soft panels to be made,x2 = Number of hardwood panels to be made,x3 = Number of tropical panel to be made,and x4 = Number of aircraft panels to be made.

(Multiple Choice)

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Question 68

A school is trying to determine a nutritional diet to feed its students.The objective is to minimize cost,subject to meeting the minimum nutritional requirements of protein,calcium,and calories.The cost and nutritional content of each food,along with the minimum nutritional requirements,are shown here.Let K and T be the number pounds of kidney beans and tofu to be purchased.Which of the following is the optimal solution values of the decision variables? Nutrient Kidney Besns Tofu Minimum Deily Requirement Cost per pound \ 0.90 \ 1.50 Calcium in units per pound 15 6 30 Protein in units per pound 10 10 40 Calories in units per pound 3 9 18

(Multiple Choice)

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Question 69

Determining the supply of resources needed to meet demand for the intermediate time frame at the minimum cost is an example of applying linear programming to solving ______ problems.

(Multiple Choice)

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Question 70

The price associated with a resource that indicates how much more profit would be earned by increasing the amount of the resource by one unit is called ______.

(Multiple Choice)

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Question 71

Enrobe Textiles,Inc.,is a small clothing manufacturer that produces men's polo shirts and pants.The production manager,Zhang Wei,uses two primary resources: sewing machine hours and cutting machine hours.For next month's production of shirts and pants,Mr.Wei can schedule up to 300 hours of sewing machine time and up to 240 hours of cutting machine time.Production of each polo shirt requires 3.0 hours of sewing time and 1.0 hour of cutting time.Each pair of pants requires 2.0 hours of sewing time and 2.0 hours of cutting time.Based on the analysis of cost and sales figures,Mr.Wei estimates that each polo shirt will yield a profit of $5,and each pair of pants will generate a profit of $7.Given this scenario,what will be the maximum profits that Enrobe Textiles can achieve?

(Multiple Choice)

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Question 72

When the LP problem has more than two decision variables,the ______ is appropriate for searching the optimal solution.

(Multiple Choice)

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Question 73

Maureen,hospital administrator for Trinity Hospital,would like to set up a work schedule for the hospital's nurses.Each nurse will work for 8 consecutive hours.The minimum number of nurses needed in each of six 4-hour time intervals is shown in the following table.How many nurses will be required to maintain the minimum staffing levels? Time interval 00-04 04-08 08-12 12-16 16-20 20-24 Minimum number of nurses required 7 8 22 26 18 12

(Multiple Choice)

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Question 74

______ is the range of values of the objective function within which the optimal values of the decision variables will not change.

(Multiple Choice)

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Question 75

Consider the portion of the sensitivity analysis report that follows.The current optimal solution will not change as long as the objective coefficient of X₁ is within the range of ______. Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease \F \6 Shirt (X1) 24 0 5 4 1 \G \6 Pants (X2) 84 0 6 1.5 2.666667

(Multiple Choice)

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Question 76

Diamond Plywood,Inc.,manufactures four types of plywood panels.Each product must go through the following operations: patching,grading,gluing,and baking.The time in hours required for each operation for each panel,the total capacity available for each these operations in a given month,as well as the minimum production requirements and the profit contributions per panel are given in the following table.Based on this information,at the optimal production point what is the quantity of soft plywood panels that Diamond Plywood will produce?

(Multiple Choice)

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Question 77

Consider the portion of the sensitivity analysis report that follows.Increasing the right-hand side constraint for $I$7 by 1 unit (240 to 241)will result in which of the following? Cell Name Final Value Shadow Price Constraint R . Side Allowable Increase Alowable Decrease \ 1\ 7 <= Usage 240 0.6 240 210 40 \ 1\ 8 <= Usage 150 3.2 150 30 70

(Multiple Choice)

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Question 78

A school is trying to determine a nutritional diet to feed its students.The school would like to offer some combination of milk and beans.The school's objective is to minimize cost,subject to meeting the minimum nutritional requirements of protein,calcium,and calories.The cost and nutritional content of each food,along with the minimum nutritional requirements are shown here. Nutrient Kidney Beans Tofu Minimum Daily Requirement Cost per pound \ 0.90 \ 1.50 Calcium in units per pound 15 6 30 Protein in units per pound 10 10 40 Calories in units per pound 3 9 18 At the optimum solution,what is the cost of tofu in the diet?

(Multiple Choice)

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Question 79

ABC,Inc.,is a small clothing manufacturer that produces shirts and pants using two resources: sewing machine hours and cutting machine hours.The production manager can schedule up to 240 hours of sewing machine time and up to 150 hour cutting machine time.Production of one shirt requires 3 hours of sewing time and 1 hour of cutting time.Each pair of pants requires 2 hours of sewing time and 1.5 hours of cutting time.Each shirt yields a profit of $5,and each pair of pants generates a $6 profit.The objective is to maximize profits.What is the total profit at the optimal solution?

(Multiple Choice)

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Question 80

Which of the following is NOT a feature common to all linear programming problems?

In the Excel Solver parameters window,which of the following buttons should be clicked to add a constraint?

Determining the supply of resources needed to meet demand for the intermediate time frame at the minimum cost is an example of applying linear programming to solving ______ problems.

The price associated with a resource that indicates how much more profit would be earned by increasing the amount of the resource by one unit is called ______.

When the LP problem has more than two decision variables,the ______ is appropriate for searching the optimal solution.

______ is the range of values of the objective function within which the optimal values of the decision variables will not change.

Introduction to Managing Global Operations and Supply Chains

Operations and Supply Chain Strategies

Project Management

Supplement: Project Management

Product and Service Innovations

Supplement: Reliability

Managing for Quality

Quality Improvement and Control Tools

Capacity Planning

Supply Chain Design and Location Planning

Process Design and Layout Planning

Supplement: Tools for Analyzing, Designing, and Selecting Processes and Layouts

Supplier Management

Logistics Management

Demand Management and Customer Service

Demand Forecasting Methods

Lean Operations and Supply Chains

Inventory Management

Inventory Control Models

Sales and Operations Planning

Master Scheduling and Material Requirements Planning

Supplement: Capacity Requirements Planning, MRP II, ERP, and DRP

Detailed Scheduling

The Transportation Models

Waiting Line Models

Simulation

Learning Curves

Decision-Making Tools

Filters