Question

1. Consider the following linear programming problem formulated by a team of business analysts at the...

1. Consider the following linear programming problem formulated by a team of business analysts at the JORDANA Company Inc.

Max 3A+4B s.t.

-1A + 2B ≤ 8 Constraint 1

1A +2B ≤ 12 Constraint 2

2A + 1B ≤ 16 Constraint 3

(a) Show the feasible region using the geometric or graphical approach.

(b) What are the optimal values of the decision variables?

(c) Find the optimal solution to this optimization problem.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following linear program: Max 3A + 2B s.t 1A + 1B 10 3A +...
Consider the following linear program: Max 3A + 2B s.t 1A + 1B 10 3A + 1B < 24 1A + 2 B < 16 A, B > 0
               For the following linear programming problem, determine the optimal solution by the...
               For the following linear programming problem, determine the optimal solution by the graphical solution method                                                                                              Max   -x + 2y                                                                                                          s.t.   6x - 2y <= 3          ...
1.For the following linear programming problem Max 5X + 7Y s.t. 1X+ 1Y≤ 6 3X +1Y...
1.For the following linear programming problem Max 5X + 7Y s.t. 1X+ 1Y≤ 6 3X +1Y ≤ 12 X+ 2Y ≤ 10 X, Y ≥ 0 a)Write the problem in standard form. b)Solve the problem neatly using the graphical solution procedure(on paper). c)What are the values of the three slack variables at the optimal solution? d)Solve the problem with Microsoft Excel and attach your “own” printout.
If a problem is referred to as a linear programming problem, what must be true? A)...
If a problem is referred to as a linear programming problem, what must be true? A) the objective function must be linear B) both the objective function and the constraints must be linear C) the constraints must be linear D) the decision variables must be linear Three essential elements of a linear programming formulation are the: A) decision variables, feasibility, constraints B) constraints, objective function, non-negativity C) decision variables, objective function, constraints D) objective function, constraints, solution When constraints identify...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x +...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x + 2y Subject to:    3x + 5y ? 30 4x + 2y ? 28                     x ? 8                     x , y ? 0 and integer The solution to the linear programming formulation is: x = 5.714, y = 2.571. What is the optimal solution to the integer linear programming problem? State the optimal values of decision variables and the value of the objective function.
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x +...
Question 5 options: Consider the following integer linear programming problem: Max Z =       3x + 2y Subject to:    3x + 5y ≤ 30 5x + 2y ≤ 28                     x ≤ 8                     x, y ≥ 0 and integer The solution to the linear programming formulation is: x = 4.21, y = 3.47. What is the optimal solution to the integer linear programming problem? State the optimal values of decision variables. x = , y =
Consider the following linear program: Max 3A + 2B 1A+1B<=10 3A+ 1B<=24 1A+2B<=16 A) Run the...
Consider the following linear program: Max 3A + 2B 1A+1B<=10 3A+ 1B<=24 1A+2B<=16 A) Run the syntax for the LINDO results. B) Assume that the objective function coefficient for A changes from 3 to 3.8 and the objective function coefficient for B changes from 2 to 1.2.   Does the optimal solution change? Show the calculation based on 100% rule on objective function. C) Assume that the right hand side of Constraint 2 changes from 24 to 28 and Constraint 3...
Consider the following linear programming model MAX 100 C + 80 S C <= 20 S...
Consider the following linear programming model MAX 100 C + 80 S C <= 20 S - C >= 10 C , S >= 0 The feasible region is shaded. At the optimal solution, the objective function value is 5,200 What is the maximum allowable increase in the RHS of the constraint C <= 20 ?
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75...
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75 10X + 6Y ≤ 60 X + Y ≤ 8 X, Y ≥ 0 The optimal value of the objective function is ________. A)59 B)61 C)58 D)60
Consider the following linear programming problem Max      7X + 8Y s.t.        5X + 15Y...
Consider the following linear programming problem Max      7X + 8Y s.t.        5X + 15Y <= 75             6X + 10Y <= 60             X + Y <= 8             X, Y >= 0 What are the values of X and Y at the optimal solution? Group of answer choices X = 6, Y = 3.5 X= 5, Y=3 X = 3.5, Y = 6 X= 3, Y= 5 X = 2, Y = 7.5
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT