Question 1 Consider the following tableau for a profit maximization linear programming (LP) problem where X1,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Question 1 Consider the following tableau for a profit maximization linear programming (LP) problem where X1, X2, and X3 are the number of products to be manufactured and S1, S2 and S3 are non-negative slack variables associated with the first, second and third resources respectively. It is given that the objective function is Z = 10X +12X+14X3. Basic X2 X3 S S2 S3 RHS X1 -1 0 1 0 10 S2 0 2.5 0 -1.5 1 20 X3 0 1.5 1 -0.5 0 40 Z 0 -1 0 3 0 4 660 (a) What are the optimal solution and optimal objective value according to the above simplex tableau? (7 marks) 1 0.4 0.4 -0.6 2 1 2 (b) Given that -0.6 0.4 0.4 = 22 1 0.4 -0.6 0.4 22 Determine the original linear programming (LP) problem. (c) Determine the range of optimality for the objective coefficient of X2. (6 marks) (4 marks) (d) What is the dual price for the third resource? State the corresponding range of feasibility for the dual price. (4 marks) (e) If the objective coefficient of X2 changed to 13, what is the new optimal solution and the new optimal objective value? (4 marks) Question 1 Consider the following tableau for a profit maximization linear programming (LP) problem where X1, X2, and X3 are the number of products to be manufactured and S1, S2 and S3 are non-negative slack variables associated with the first, second and third resources respectively. It is given that the objective function is Z = 10X +12X+14X3. Basic X2 X3 S S2 S3 RHS X1 -1 0 1 0 10 S2 0 2.5 0 -1.5 1 20 X3 0 1.5 1 -0.5 0 40 Z 0 -1 0 3 0 4 660 (a) What are the optimal solution and optimal objective value according to the above simplex tableau? (7 marks) 1 0.4 0.4 -0.6 2 1 2 (b) Given that -0.6 0.4 0.4 = 22 1 0.4 -0.6 0.4 22 Determine the original linear programming (LP) problem. (c) Determine the range of optimality for the objective coefficient of X2. (6 marks) (4 marks) (d) What is the dual price for the third resource? State the corresponding range of feasibility for the dual price. (4 marks) (e) If the objective coefficient of X2 changed to 13, what is the new optimal solution and the new optimal objective value? (4 marks)
Expert Answer:
Posted Date:
Students also viewed these general management questions
-
How can an individual calculate the ROI of an investment? Question 22 options: ROI is calculated by subtracting expenses from income ROI is calculated by multiplying expenses by income ROI is...
-
Consider the following linear program P with two resources and three activities. The resources are in the amounts of 8 and 4 and the activities are represented by the three variables. Maximize Z =...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
Why would senior managers want to distort factor prices by using cost allocations?
-
Refer to the data in QS. In questions 1. Assume that all common stock is issued for cash. What amount of cash dividends is paid during 2015? 2. Assume that no additional notes payable are issued in...
-
Determine whether the number is rational or irrational. 36
-
The annual report of The Arcadia Company discloses the following amounts on its consolidated statement of income: Further, on Arcadias consolidated balance sheet, it reports the following amounts for...
-
1. Explain the importance of fixed and variable costs to Dyns pricing decisions. 2. Basing your answer on the discussion of prestige pricing in Chapter 16 and on the Dyn Inc. video, how does the...
-
On an average day, a company writes 6 8 checks worth a total of $ 8 , 4 2 5 that clear in 2 . 7 5 days. The company also collects 8 0 checks worth a total of $ 1 0 , 9 4 0 that clear in 2 . 2 5 days....
-
6 . 1 POINT The ages of 20 students enrolled in a yoga class at a university are given below. Construct a histogram for grouped data using 5 classes. 19, 19, 19, 20, 20, 20, 21, 23, 25, 26, 26, 27,...
-
When coding repairs of multiple lacerations in CPT, what action should the coding professional take?
-
If the cash flow statement show normal position on the end of December, how do you negotiate any immediate changes with relevant personnel for a better outcome?( Write about change analysis and...
-
Our focus for the module 7 journal entry is on assessing technological and global perspectives . This is your personal journal reflection, serving the purpose to help your own decision-making in the...
-
CS1010S, Semester I, 2022/2023-Side Quest 10.1 Task 3c: Merging Tiles (7 marks) Your task is to create four functions - merge_up, merge_down, merge_left, merge_right - that will handle the movements...
-
Item# What is needed # Quantity needed A B Week 4 6 7 A C C 1 2 1 Gross req. 60 20 150 B Item# On hand (beginning) inventory # Lot sizing# Lead time A AB C 50 55 125 L4L 1 30 1 L4L 1 The three tables...
-
Grindstone Paving provides residential and commercial paving services. Its balance sheet at the end of June 2018 is shown below, along with its chart of accounts. Balance Sheet Assets Cash 7580...
-
State whether each statement is true or false. If false, give a reason. {purple, green, yellow} = {green, pink, yellow}
-
A comparative balance sheet for Cirrus Corporation is provided in the Working Papers. The income statement for the current year indicates that net income was \($20,900.00\) and the depreciation...
-
The following information was taken from the financial statements of Flexcor Corporation on December 31 of the current year. The comparative income statement of Flexcor Corporation reveals the...
-
The following business transactions represent selected cash receipts (cash inflows) and cash payments (cash outflows) of Ridge Development Corporation. a. dividend payment b. payment of insurance...
Study smarter with the SolutionInn App