QMB 3602 Module 6 HW

Refer to the following spreadsheet. What is the unit profit for the Luxury item?

$3

What is the optimal solution for the following problem?

(x,y)=(0,2.4)

Given the following 2 constraints, which solution is a feasible solution for a minimization problem? (1) 10x1 + 5x2 ≥ 50 (2) x1 + 2x2 ≥ 12

(x1, x2)=(3,5)

Refer to the following spreadsheet. Where are the decision variables located?

B2:C2

Which of the following components of a linear programming model sets limits on the set of potential solutions?

Constraints

Refer to the following spreadsheet. Where is the objective function located?

D4

Which of the following components of a linear programming model represents the level of each activity?

Decision Variable

Which of the following components of a linear programming model is the overall performance measure?

Objective

Which of the following statements about feasible solutions to a linear programming problem is TRUE?

The optimal solution will also be a feasible solution

Which of the following statements about feasible solutions to a linear programming problem is FALSE?

There will always be at least one feasible solution to any linear programming problem.

Find the values of x1 and x2 where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 5x1 + 7x2 ≥ 65 (2) 2x1 + 2x2 ≥ 16

X1(4.500) X2 12.500

Find the values of x1 and x2 where the following two constraints intersect. (Round your answers to 3 decimal places.) (1) 10x1 + 5x2 ≥ 50 (2) 1x1 + 2x2 ≥ 12

x1 2.667 x2 4.667