Using the below equation, what are the values of the pivot column points on the second simplex table?
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![Using the below equation,
what are the values of the
pivot column points on the
second simplex table?
Z= 5X1 + 2X2 + 3X3
SUBJECT TO:
2X1 + 2X2 <= 10
2X1 + 3X2+ 4X3 <= 20
O a. [2] AND [2]
b. [1] AND [0]
O c. [2] AND [3]
d. [0] AND [4]
O e. [1] AND [O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab9fd14c-e6eb-49c1-a955-34cc0b47228a%2Fc0756c57-8e69-4d3a-9f2f-4cfa9f99a64f%2Fhmxbuu7_processed.jpeg&w=3840&q=75)
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- You want to take out a 450,000 loan on a 20-year mortgage with end-of-month payments. The annual rate of interest is 3%. Twenty years from now, you will need to make a 50,000 ending balloon payment. Because you expect your income to increase, you want to structure the loan so at the beginning of each year, your monthly payments increase by 2%. a. Determine the amount of each years monthly payment. You should use a lookup table to look up each years monthly payment and to look up the year based on the month (e.g., month 13 is year 2, etc.). b. Suppose payment each month is to be the same, and there is no balloon payment. Show that the monthly payment you can calculate from your spreadsheet matches the value given by the Excel PMT function PMT(0.03/12,240, 450000,0,0).Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 22y subject to 14x + 7y ≤ 35 5x + 5y ≤ 50 (x,y)= f=
- Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 14y + 4z subject to the following. 3x + 5y + 4z ≤ 30 3x + 2y ≤ 4 x + 2y ≤ 8 (x,y,z)= f=Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 2x + 9y subject to the following. 2x + 5y ≤ 50 x + 5y ≤ 45 x + y ≤ 14 (x,y)= f=Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 7x + 8y subject to x + 2y ≤ 10 x + y ≤ 7 (x,y)= f=
- Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 20x + 12y + 12z subject to the following. x + z ≤ 45 x + y ≤ 30 y + z ≤ 45 (x,y,z)= f=Use simplex method for linear programming. Show solution for each iteration table. Problem: A small firm that assembles computers is about to start production of two new types of personal computers. Each type will require assembly time, inspection time, and storage space. The amount of each of these resources that can be devoted to the production of the computers is limited. The manager of the firm would like to determine the quantity of each computer to produce in order to maximize the profit generated by sales of these computers. In order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of those meetings, the manager has obtained the following information: Type 1 Type 2 Profit per unit $60 $50 Assembly time per unit 4 hours 10 hours Inspection time per…TRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.
- Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3If a convex function is multiplied by a negative constant, the result: A. is concave B. could be either convex or concave, depending on the value of the constant C. is convex D. is linearTRUE OR FALSE In a simplex maximization slack variable is added to convert the objective function to equation.