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##### MAT 540 WEEK 5 QUIZ 3

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MAT 540 WEEK 5 QUIZ 3;Week 5 Quiz 3;1. The terms in the objective function or constraints are not additive. TRUE/ FALSE;2. A feasible solution violates at least one of the constraints. TRUE/ FALSE;3. Which of the following could not be a linear programming problem constraint?;a. 1A + 2B;b. 1A + 2B = 3;c. 1A + 2B > 3;d. 1A + 2B < 3;4. In a linear programming problem, a valid objective function can be represented as;A) Max Z = 5xy;B) Max Z 5x2 + 2y2;C) Max 3x + 3y + 1/3z;D) Min (x1 + x2) / x3;5. Non-negativity constraints restrict the decision variables to negative values. TRUE/ FALSE;6. A graphical solution is limited to linear programming problems with ___ decision variables;2;7. A constraint is a linear relationship representing a restriction on decision making.;TRUE/ FALSE;8. Linear programming is a model consisting of linear relationships representing a firm's decisions given an objective and resource constraints. TRUE/ FALSE;9. Non-negativity constraints;A) restrict the decision variables to zero.;B) restrict the decision variables to positive values;C) restrict the decision variables to negative values;D) do not restrict the sign of the decision variable.;E) both A and B;10. Decision models are mathematical symbols representing levels of activity. TRUE/ FALSE;11. Which of the following could be a linear programming objective function?;A) Z = 1A + 2BC + 3D;B) Z = 1A + 2B + 3C + 4D;C) Z = 1A + 2B / C + 3D;D) Z = 1A + 2B2 + 3D;E) all of the above;12. Decision variables;A) measure the objective function;B) measure how much or how many items to produce, purchase, hire, etc.;C) always exist for each constraint;D) measure the values of each constraint;13. A linear programming model consists of decision variables, constraints, but no objective function. TRUE/ FALSE;14. The region which satisfies all of the constraints in a graphical linear programming problem is called the;A) region of optimality;B) feasible solution space;C) region of non-negativity;D) optimal solution space;15. The _______________ property of linear programming models indicates that the decision variables cannot be restricted to integer values and can take on any fractional value.;A) linearity;B) additive;C) divisibility;D) certainty;E) proportionality;16. The production manager for the Coory soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of the limited resources are production time (8 hours = 480 minutes per day) and syrup limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are \$3.00 per case and profits for diet soft drink are \$2.00 per case. What is the time constraint?;A) 2R + 5D? 480;B) 2D + 4R? 480;C) 2R + 3D? 480;D) 3R + 2D? 480;E) 2R + 4D? 480;17. Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs \$500 and requires 100 cubic feet of storage space, and each medium shelf costs \$300 and requires 90 cubic feet of storage space. The company has \$75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is \$300 and for each medium shelf is \$150. What is the objective function?;Z = \$300B + \$150M;A) MAX Z = \$300B + \$100 M;B) MAX Z = \$300M + \$150 B;C) MAX Z = \$300B + \$150 M;D) MAX Z = \$300B + \$500 M;E) MAX Z = \$500B + \$300 M;18. In a linear programming model, the numberof constraints must be less than the number of decision variables. TRUE/ FALSE;19. Proportionality means the slope of a constraint or objective function line is not constant. TRUE/ FALSE;20. The objective function is a linear relationship reflecting the objective of an operation. TRUE/ FALSE

Paper#31290 | Written in 18-Jul-2015

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