Question

1.If an LP problem has a unique optimal solution, can the optimal solution be an interior...

1.If an LP problem has a unique optimal solution, can the optimal solution be an interior point of the feasible region? Explain and prove.

2.How do we know from a simplex tableau of an LP problem if the current basic feasible solution is optimal? (consider a min problem) Explain.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is...
1. Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 3x + 2y subject to 1.8x + 0.9y ≤ 9 0.15x + 0.3y ≤ 1.5 8x + 8y ≤ 48 x ≥ 0, y ≥ 0. p = (x,y) = 2. Solve the LP problem. If...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize and minimize p = x + 2y subject to x + y ≥ 2 x + y ≤ 10 x − y ≤ 2 x − y ≥ −2. Minimum: p= (x,y)= Maximum: p= (x,y)=
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 3x + y subject to 5x − 8y ≤ 0 8x − 5y ≥ 0 x + y ≤ 13 x ≥ 0, y ≥ 0. p = ? (x, y) = ?
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 4x + 3y subject to −4x + y ≥ 11 x + 5y ≤ 13 x ≥ 0, y ≥ 0. p = : Your answer is incorrect. (x,y) =
1. It is impossible for a linear program with unbounded feasible region to have a unique...
1. It is impossible for a linear program with unbounded feasible region to have a unique optimal solution. True or False? 2. It is impossible for an integer program to have infinitely many optimal solutions. True or False? 3. When we solve an integer program with a minimization objective using Branch and Bound, we can discard a subproblem for which the optimal objective value of the associated LP is larger than the objective value of the incumbent solution. True or...
Consider the following LP problem:           Max   3X1 + 2X2           s.t. 5X1 + 4X2 £...
Consider the following LP problem:           Max   3X1 + 2X2           s.t. 5X1 + 4X2 £ 40                 3X1 + 5X2 £ 30                 3X1 + 3X2 £ 30                        2X2 £ 10                 X1 ³ 0, X2 ³ 0 (1)   Show each constraint and the feasible region by graphs. Indicate the feasible region clearly.   (5 points) (2)   Are there any redundant constraints? If so, what constraint(s) is redundant? (2 points) (3)   Identify the optimal point on your graph. What...
* A linear program has the objective of maximizing profit = 12X + 8Y. The maximum...
* A linear program has the objective of maximizing profit = 12X + 8Y. The maximum profit is $8,000. Using a computer we find the upper bound for profit on X is 20 and the lower bound is 9. Discuss the changes to the optimal solution (the values of the variables and the profit) that would occur if the profit on X were increased to $15. How would the optimal solution change if the profit on X were increased to...
Do we know whether or not the following IVP has a unique solution? What theorem tells...
Do we know whether or not the following IVP has a unique solution? What theorem tells us and how dy/dx = xy^(1/3)
QUESTION 1 The optimal solution to an LP problem was  5.17 and  3.66. If  and  were restricted to be integers,...
QUESTION 1 The optimal solution to an LP problem was  5.17 and  3.66. If  and  were restricted to be integers, then  = 5 and 4 will be a feasible solution, but not necessarily an optimal solution to the IP problem. True False Question 2 A sample of 220 patients of a family medicine practice was surveyed two weeks after their doctor's visit to ask them whether the symptoms that prompted their visit improved, and whether they complied with the physician's treatment plan. The following table...
) Consider the linear program in Problem 1. The value of the optimal solution is 27....
) Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose that the right-hand side for constraint 1 is increased from 10 to 11. a. Use the graphical solution procedure to find the new optimal solution. b. Use the solution to part (a) to determine the shadow price for constraint 1. c. The sensitivity report for the linear program in Problem 1 provides the following right- hand-side range information: Constraint Constraint R.H side Allowable...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT