Solve the following linear program using the Simplex method:MinimizeSubject to.Z=-7x₁1-6x₂x₁ + x₂ ≤42x₁ + x₂ ≤6x₂ ≤4x₁20, X₂20Your answer should include the following:a. The initial BF solution of the problem?b. The LP in both the augmented and tabular forms.c. Make all the required calculations and iterations to find the optimalsolution.d. Highlight the pivot row, column, and the pivot number "circled" ineach iteration,e. The optimal value of the decision variables x₁, x₂ and the objectivefunction Z.Z=.............., x₁=X2²

Simplex method helps to solve linear programming models manually using slack variables, tableaus,…

Answered: Solve the following linear program…

Practical Management Science

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Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a non-basic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering non basic variable. Basic x1 X2 X3 X4 X5 X6 X7 X8 solution -5 4 -1 -10 620 X8 3 -2 -3 -1 1 12 X3 1 1 3 1 3 X1 1 -1 -4 (i)Categorize the variables as basic and non-basic and provide the current values of all the variables. (ii)Assuming that the problem is of the maximization type, identify the non- basic variables that have the potential to improve the value of Z. If each such 3 variable enters the basic solution, determine the associated leaving variable, if any, and the associated change in Z. (iii)Repeat part (b) assuming that the problem is of the minimization type. (iv)Which non basic variable(s) will not cause a change in the value of Z when selected to enter the solution? (b) Let xij be the amount shipped from source i to destination j in a 5X5…
Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7ySubject to:2x + y ≤ 40 x + 3y ≤ 30x, y ≥ 0 What is the entering variable and leaving variable in Table 1? Choices: A. Entering Variable: y and Leaving Variable: S1 B. Entering Variable: x and Leaving Variable: S1 C. Entering Variable: x and Leaving Variable: S2 D. Entering Variable: y and Leaving Variable: S2
You are required to create the following tables in a database named STUDENT_REGISTRATIONS. Ensure that you create the database and table objects exactly as depicted below. STUDENTS STUDENT_ID VARCHAR(8) NOT NULL PRIMARY KEY STUDENT_NAME VARCHAR(40) NOT NULL STUDENT_SURNAME VARCHAR(40) NOT NULL MODULES MODULE_ID VARCHAR(8) NOT NULL PRIMARY KEY MODULE_NAME VARCHAR(40) NOT NULL MODULE_CREDIT SMALLINT NOT NULL STUDENT_MODULES STUDENT_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES STUDENTS(STUDENT_ID) MODULE ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES MODULES(MODULE_ID) LECTURERS LECTURER_ID VARCHAR(8) NOT NULL PRIMARY KEY LECTURER_NAME VARCHAR(40) NOT NULL LECTURER_SURNAME VARCHAR(40) NOT NULL O The Independent Institute of Education (Pty) Ltd 2021 Page 3 of 10 19, 20; 21 2021 LECTURER_MODULES MODULE_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES MODULES(MODULE_ID) LECTURER_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES LECTURERS(LECTURER_ID)
3
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Hi... I'm having trouble with the following: Min Jee wants to combine the sales data from each of the art fairs. Switch to the Combined Sales worksheet, and then update the worksheet as follows: In cell A5, enter a formula without using a function that references cell A5 in the Madison Copy the formula from cell A5 to the range A6:A8 without copying the formatting. In cell B5, enter a formula using the SUM function, 3-D references, and grouped worksheets that totals the values from cell B5 in the Chicago:Madison Copy the formula from cell B5 to the range B6:B8 without copying the formatting. Copy the formulas and the formatting from the range B5:B8 to the range C5:E8. (Hint: You can ignore the error about empty cells because Min Jee will enter the Madison sales data later.)
3. A company that produces a single product wants to determine its production, inventory holding and purchasing policies for the months of January, February and March. The firm has to meet the determined amount of demand every month. In order to meet this demand, it can produce itself or purchase that amount from another company. However, if production is to be made, either at least 100 units will be produced or not at all. In addition, due to technical capacities, maximum amounts that can be produced in a month is 400 units. In addition, the company has to pay 750$ of tax in the months it produces. The company can transfer the excess demand to the next month by bearing the inventory cost, but the company cannot stock more than 75 products due to the physical conditions in the warehouse. If the company wants to keep more units on inventory, they can rent a warehouse with a capacity of 125 products for 150$ per month. However, during this period, the company can rent this warehouse for…
a. Identify the feasible solution. b. Obtain the optimal solution. Note: Assumer or determine the objective function from available data.
I don't need handwritten answer. Only typed answer is allowed. The figure also should not be hand drawn.
Which of the following is the optimal value of the objective function for the LP model in this problem? Minimize z=4x + 8y Subject to: x+1.6y>=45 2x+0.5y>=40 X+y<=40 XY>=0 a.220 b.160 c.240 d.200
Analyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. a) Maximize z = 4x1 + 2x2 Subject to: 2x1 - x2 ≤ 2 3x1 - 4x2 ≤ 8 x1, x2 ≥ 0b) Maximize z = 3x1 + 2x2 Subject to: 4x1 - x2 ≤ 8 4x1 + 3x2 ≤ 12 4x1 + x2 ≤ 8 x1, x2 ≥ 0
linear programming problem. one image is the question and the other image is required information.

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