3.The Simplex method has produced thematrix below andan optimal Solution has beenfound. Examine the matrix and thenanswerthe questions.5.4.-29.3.1.5299.identifythe non-basik variablesb.identify the basic variabletwhat is the value of x,d.what is the value of Xzwhat is the value of X3f.what1s the value of P the optimal solution,

The simplex method has been produce the matrix below and optimal solution has been found. We have to…

Answered: 3. The Simplex method has produced the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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How do you determine if the row and coumn variables are independent in the contingency table with the critical value being within two degrees of freedom X^2R= 9.210? and the colums being 30 12 20 422 210 520
Consider the following intermediate tableau (not the Initial Simplex tableau): p x1 x2 s1 s2 rhs 0 0 1 1/2 -1/2 3/2 0 1 0 1/2 1/2 5/2 1 0 0 2 -1 7 a) Determine the pivot column and the pivot element, and perform all the row operations for the entire pivot column to obtain the next new tableau. Once you have the new tableau, look at the numbers you have in the objective row and enter each one as requested in each box below. Note: Where applicable, fractions must be entered as 2/5, -1/3, and so on. Under column x1 in the objective row, you have: Under column x2 in the objective row, you have: Under column s1 in the objective row, you have: Under column s2 in the objective row, you have: Under column RHS in the objective row, you have: b) Given the new tableau that you obtained above, three interpretations are possible. In the box below, type or copy and paste whichever answer shown in boldface letters below that you think…
10. Consider the linear system Ax = b, where matrix A = 1 0 1 1 1 2 and b = (0, 2, 7) a. Find x hat, the least square solution of Ax = b b. Find the error given by ||b - A(x hat)||2
SOLVE THE GIVEN LINEAR SYSTEMS BY THE SPECIFIED METHOD. Last Digit of S.N. = 8.
Consider the following all-integer linear program: Max 5x1+8x2 S.t. 6x1+5x2 ≤ 30 9x1+4x2 ≤ 36 1x1+2x2 ≤ 10 X1,x2 ≥ 0⁢ and integer Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Find the optimal integer solution. Is it the same as the solution obtained in part (b) by rounding down?
A company needs to choose one supplier for a particular type of silicon wafer used in the production of semiconductors. The company has three options. Supplier A sells the silicon wafers for $2.40 per wafer, independently of the number of wafers ordered. Supplier B sells the wafers for $2.20 each but does not consider an order for less than 2,000 wafers. Supplier C sells the wafers for $2.00 each but does not accept an order for less than 3,000 wafers. Assume an order setup cost of $200 and an annual requirement of 10,000 wafers. Assume a 20% annual interest rate for holding cost calculations. Which supplier should be chosen to minimize the total annual cost for the wafers, and what is the optimal order quantity? If the replenishment lead time for wafers is three months, determine the reorder point based on the on-hand level of inventory of wafers.
1.) Using the following model, answer the questions below. Max 5A + 10B s.t. 2A + 4B ≤ 39 2A + B ≤ 33 A ≥ 12 A, B ≥ 0 1.) Part A: Is A = 12, B = 4 a feasible solution? You must show your work to support your assertion. Please show the work for each constraint listed please and then at the end say if it is a feasible solution. For Example: 2A+4B=39 2A + B ≤ 33 (2)(12) + 4(4) ≤ 39 2 (12) + (4)≤ 33 24+16≤ 39 24+16 ≤ 33 40≤ 39 40≤ 33 Then the 3rd (A ≥ 12) and 4th A, (B ≥ 0) constraint break-down and then list if it's feasible or not, please
. Suppose that we have a n × 10 matrix (n rows and 10 columns) where theentries are either 0 or 2. What is the smallest value of n which guaranteesthat the matrix will have two identical rows? Justify your answer
Find r and h that minimize S subject to the constraint V = 54n.
4. A furniture factory receives a daily shipment of 50 boards of oak and 60 boards of maple, which they use to make cabinets and tables. Each cabinet uses two oak boards and two maple boards and yields a profit of $80. Each table uses two oak boards and three maple boards and yields a profit of $100. How many cabinets and tables should the factory make daily to maximize profit?
Solve the following LPP using the simplex / Big M Method Maximize: Z = 5X + 10Y Subject to the constraints: X+2Y≤ 6 ...................(i) X+Y≥4 ....................(ii) X≤5 ....................(iii) Y≥5 ..................(iiii) X,Y≥0
a. Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 37 million women and at least 32 million men who are prospective customers. A) 0.18x + 0.75y ≤ 1020 0.3x ≤ 630 0.2x + 0.2y ≥ 500 x ≥ 0, y ≥ 0 B) 7x+2y ≥ 37 4x + 12y ≥ 32 x ≥ 0, y ≥ 0 C) 0.6x + 0.4y ≤ 3200 0.2x + 0.2y ≥ 1200 0.2y ≤ 1000 x ≥ 0, y ≥ 0 D) 2x + 6y ≤ 600 x + y ≤ 200 x ≥ 0, y ≥ 0 b. A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model…

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