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Consider the following LP problem. Minimire 2- 9.20x, + 5.90x2 Subject toi Constraint 1 Sx1 + 3x2 30, 2x1 + 5x2 33, Constraint 2 Conatraint 3 where x, and x, represent the decision variables. Solve the LP problem to answer the following questions. a. What are the values of x, and x2 at the optimal solution? What is the minimum value of ? (Round your answers to 2 decimal places. Note that "maximum" is a typo, and should read "minimum".) Value of x, at the optimal solution Value of xg at the optimal solution Maximum value of z b. Identify the binding and nonbinding constraints and report the surplus value, as applicable. (If the answer to constraints is "Non- Binding" enter surplus value or leave cells blank.) Constraint 1 Constraint 2 c. Report the shadow price and range of feasibility of each binding constraint. (If the answer to constraints is "Binding" enter "Shadow price" and "Range of feasibility" to 2 decimal places or leave cells blank.) Range of Feasibility Shadow Price From To Constraint 1 Constraint 2 d. What is the range of optimality for the two objective function coefficients? (Round your answers to 1 decimal place.) Range of Optimality for the Objective Function Coefficients From То X2

Consider the following LP problem. Minimire 2- 9.20x, + 5.90x2 Subject toi Constraint 1 Sx1 + 3x2 30, 2x1 + 5x2 33, Constraint 2 Conatraint 3 where x, and x, represent the decision variables. Solve the LP problem to answer the following questions. a. What are the values of x, and x2 at the optimal solution? What is the minimum value of ? (Round your answers to 2 decimal places. Note that "maximum" is a typo, and should read "minimum".) Value of x, at the optimal solution Value of xg at the optimal solution Maximum value of z b. Identify the binding and nonbinding constraints and report the surplus value, as applicable. (If the answer to constraints is "Non- Binding" enter surplus value or leave cells blank.) Constraint 1 Constraint 2 c. Report the shadow price and range of feasibility of each binding constraint. (If the answer to constraints is "Binding" enter "Shadow price" and "Range of feasibility" to 2 decimal places or leave cells blank.) Range of Feasibility Shadow Price From To Constraint 1 Constraint 2 d. What is the range of optimality for the two objective function coefficients? (Round your answers to 1 decimal place.) Range of Optimality for the Objective Function Coefficients From То X2

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following LP problem. z - 9.20x + 5.90x2 Mininize Subject to: 5x1 + 3x2 2 30, 2x, + 5x2 2 33, Constraint 1 Constraint 2 Constraint 3 X1, X2 0, where x and x2 represent the decision variables. Solve the LP problem to answer the following questions. a. What are the values of x, and x, at the optimal solution? What is the minimum value of z? (Round your answers to 2 decimal places. Note that "maximum" is a typo, and should read "minimum".) Value of x, at the optimal solution Value of x, at the optimal solution Maximum value of z b. Identify the binding and nonbinding constraints and report the surplus value, as applicable. (If the answer to constraints is "Non- Binding" enter surplus value or leave cells blank.) Constraint 1 Constraint 2 c. Report the shadow price and range of feasibility of each binding constraint. (If the answer to constraints is "Binding" enter "Shadow price" and "Range of feasibility" to 2 decimal places leave cells blank.) Range of Feasibility Shadow Price From To Constraint 1 Constraint 2 d. What is the range of optimality for the two objective function coefficients? (Round your answers to 1 decimal place.) Range of Optimality for the Objective Function Coefficients From To X2
Transcribed Image Text:Consider the following LP problem. z - 9.20x + 5.90x2 Mininize Subject to: 5x1 + 3x2 2 30, 2x, + 5x2 2 33, Constraint 1 Constraint 2 Constraint 3 X1, X2 0, where x and x2 represent the decision variables. Solve the LP problem to answer the following questions. a. What are the values of x, and x, at the optimal solution? What is the minimum value of z? (Round your answers to 2 decimal places. Note that "maximum" is a typo, and should read "minimum".) Value of x, at the optimal solution Value of x, at the optimal solution Maximum value of z b. Identify the binding and nonbinding constraints and report the surplus value, as applicable. (If the answer to constraints is "Non- Binding" enter surplus value or leave cells blank.) Constraint 1 Constraint 2 c. Report the shadow price and range of feasibility of each binding constraint. (If the answer to constraints is "Binding" enter "Shadow price" and "Range of feasibility" to 2 decimal places leave cells blank.) Range of Feasibility Shadow Price From To Constraint 1 Constraint 2 d. What is the range of optimality for the two objective function coefficients? (Round your answers to 1 decimal place.) Range of Optimality for the Objective Function Coefficients From To X2
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