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##### Mat540 quiz 3

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Question;Quiz 3;Question 1;Surplus variables are;only associated with minimization problems.;Answer;Question 2;A feasible solution;violates at least one of the constraints.;Answer;Question 3;A linear programming;model consists of only decision variables and constraints.;Answer;Question 4;Graphical solutions to;linear programming problems have an infinite number of possible objective;function lines.;Answer;Question 5;If the objective;function is parallel to a constraint, the constraint is infeasible.;Answer;Question 6;A linear programming;problem may have more than one set of solutions.;Answer;Question 7;In minimization LP;problems the feasible region is always below the resource constraints.;Answer;Question 8;The following is a;graph of a linear programming problem. The feasible solution space is shaded;and the optimal solution is at the point labeled Z*.This linear;programming problem is a;Answer;Question 9;The following is a;graph of a linear programming problem. The feasible solution space is shaded;and the optimal solution is at the point labeled Z*.The equation for;constraint DH is;Answer;Question 10;The following is a;graph of a linear programming problem. The feasible solution space is shaded;and the optimal solution is at the point labeled Z*.Which of the following;constraints has a surplus greater than 0?;Answer;Question 11;Which of the following;statements is not true?;Answer;Question 12;Decision variables;Answer;Question 13;The production manager;for the Coory soft drink company is considering the production of 2 kinds of;soft drinks: regular (R) and diet(D). 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?;Answer;Question 14;The production manager;for the Coory soft drink company is considering the production of 2 kinds of;soft drinks: regular (R) and diet (D). Two of her limited resources are;production time (8 hours = 480 minutes per day) and syrup (1 of her;ingredients) 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 objective;function?;Answer;Question 15;The production manager;for the Coory soft drink company is considering the production of 2 kinds of;soft drinks: regular and diet. Two of her limited resources are production;time (8 hours = 480 minutes per day) and syrup (1 of her ingredients) 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. For the production combination of 135 cases of;regular and 0 cases of diet soft drink, which resources will not be;completely used?;Answer;Question 16;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?;Answer;Question 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 storage space constraint?;Answer;Question 18;A graphical;representation of a linear program is shown below. The shaded area represents;the feasible region, and the dashed line in the middle is the slope of the;objective function.What would be the new;slope of the objective function if multiple optimal solutions occurred along;line segment AB? Write your answer in decimal notation.;Answer;Question 19;Solve the following;graphicallyMax z = 3x1 +4x2s.t. x1 + 2x2;? 16 2x1 + 3x2? 18 x1? 2 x2;? 10 x1, x2? 0Find the optimal solution. What is the value;of the objective function at the optimal solution? Note: The answer will;be an integer. Please give your answer as an integer without any decimal;point. For example, 25.0 (twenty five) would be written 25;Answer;Question 20;Consider the following;minimization problem: Min z = x1 + 2x2s.t. x1+;x2? 300 2x1 + x2? 400 2x1 + 5x2;? 750 x1, x2? 0Find the optimal solution. What is the value;of the objective function at the optimal solution? Note: The answer will;be an integer. Please give your answer as an integer without any decimal;point. For example, 25.0 (twenty five) would be written 25;Answer

Paper#61156 | Written in 18-Jul-2015

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