Question 8The linear inequalities or equations on the variables of a linear programming problem are calledparametersO infeasible regionO feasible regionconstraintsO decision variables

A linear programming problem is a mathematical optimization problem involving the optimization of a…

Answered: The linear inequalities or equations on…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Sensitivity analysis in linear programming is used to: a) Determine the effect of changes in the coefficients of the objective function b) Determine the effect of changes in the right-hand side of constraints c) Both a and b d) Neither a nor b
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Suppose X1 and X2 are defined as: X1 =number of tables to produce, X2 =number of chairs to produce. Answer the following questions: (a) Write an expression representing total number of tables and chairs to be produced in terms of X1 and X2. (b) Suppose a table generates $28 of profit, and a chair generates $24 of profit. What is the expression representing the total profit of X1 tables and X2 chairs? (c) Suppose a table takes 3.3 hours of carpentry and 2.7 hours of painting. What is the expression representing total number of painting hours to be used for producing X1 tables? (d) Suppose a table takes 3 hours of carpentry, a chair takes 2 hours of carpentry, and there are 400 hours of carpentry available. Use a constraint to represent “The total carpentry hours to be used should be no more than the available carpentry hours.” (e) Use a constraint to represent “At least 34 chairs must be produced”; (f) Use a constraint to represent “No more than 380 chairs will be produced.” (g) Use a…
Don't Hand writing in solution.
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1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.
Write down the assumption of linear programming problems?

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The linear inequalities or equations on the variables of a linear programming problem are called O parameters O infeasible region O feasible region O constraints O decision variables