Q1.B/ - Fill in the blanks with appropriate word: 1- In a Simplex table, the pivot row is computed by . .every number in the profit row by the pivot number. 2- The Zj row in a simplex table for maximization represents -profit. 3- In converting a less-than-or-equal constraint for use in a simplex table, we must add a .. .and an artificial variable. 4- For a minimization problem using a Simplex table, we know we have reached the optimal solution when the Cj - Zj row has ..numbers in it..

Q1.B/ - Fill in the blanks with appropriate word: 1- In a Simplex table, the pivot row is computed by . .every number in the profit row by the pivot number. 2- The Zj row in a simplex table for maximization represents -profit. 3- In converting a less-than-or-equal constraint for use in a simplex table, we must add a .. .and an artificial variable. 4- For a minimization problem using a Simplex table, we know we have reached the optimal solution when the Cj - Zj row has ..numbers in it..

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Description: Q1.B/ - Fill in the blanks with appropriate word:1- In a Simplex table, the pivot row is computed by.every number in the profit row by the pivot number.2- The Z; row in a simplex table for maximization represents-profit.3- In converting a less-than-

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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When deleting a basic variable xBr from the simplex tableau, would it be possible to make xBr nonbasic by pivoting on any non-zero element in row r? What difficulties one might encounter with this approach?
The Z row of a simplex tableau gives: Select one: a. the maximal value a variable can take on and still have all the constraints satisfied. P b. the net profit or loss that will result from introducing one unit of the variable indicated in that column inte solution. C. the gross profit or loss given up by adding one unit of a variable into the solution. d. the number of units of each basic variable that must be removed from the solution if a new variable is ente.
Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 47,500 labor-hours and $3,413,000 available for the contractor's use. Belfair 3,700 $279,600 $25,000 Wexford 5,000 Aries 3,000 $205,000 $20,000 Labor-hours Capital Profit $350,000 $30,000 a. Building how many of each type of house will maximize her profit b. What is the maximum possible profit?
Mail 4. A colleague approaches you with the following simplex tableau: Mar 10, 2022, 8:58 AM Inbox 275 MI hospital all of Monday, Feb t Starred 0 72 0 60 1 4 Snoozed 5 1 0 0 Sent 1 1 1 1 0 22 3 -2 0 -4 1 140 r 19, 2022, 6:43 PM - Chat (a) tableau. Write down these variables, and give their values. Your colleague does not remember which variables to list in the first column of the ons! If we were to solve this problem using the simplex method, what would be the (b) next pivot element? Justify your answer No conversations Start a chat
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Q6. Consider the following linear program in standard maximization form: -5 max{r1 – x2} subject to -4 X1, 12 a) Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to: o Indicate all slack and artificial variables you introduce. o Indicate the objective S of the extended tableau. o Whenever your tableau is in RRREF, indicate the current solution's values for all vari- ables. o Before pivoting, indicate the entry you plan to convert to the next pivot. o Clearly indicate why you should stop the algorithm and give a precise conclusion. b) Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi- nates of each vertex and label the vertices of the feasible region in your diagram. c) Based on the graphical approach, describe the optimal solutions of this LP (if any). VI VI AI
using linear progamming simplex method solve this question. maridadi furnitures ltd is planning to make tables and chairs. they both require material and labor time. to manufacture a table and a chair requires 3 units and 4 units of direct material respectively, of which they are 96 units available in a week. marking a table or a chair each takes 6 hours and there are 168 labor hours available in a week. whereas the market for tables in unlimited, only 18 chairs can be sold weekly. the price per table and chairs are $50 ad $60 respectively whereas their unit variable costs are $38 and $40 respectively. fixed costs average $200 per week. advise maridadi ltd on the weekly production schedule in order to maximize contribution to profit.
5. What are the two numbers that add to 48 and have the maximum product? (Hint: You should have one equation for what you want to maximize and one for the constraint that they add to 48).
Simplex method and elementary row of operations if necessary. Please show steps.
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