Q2\ Solve the following linear programming problem by using the simplex method: Мах Р 3 3х, + 2х, + Xз subject to: 2x1 + X2+ X3 <150 2x1 +2 x2 +8 x3< 200 2x1 + 3x2 + X3 320 X1, X2 , X320
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- Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40 2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥ 0, z ≥ 0.?Q-Find the solution by using the simplex method MAX Z= 2X1+3X2+X3 - :S. T X1+6X2+X3 ≤ 6 X1+2X2+X3 ≤ 4 X1-X2+X3 ≤ 3 X1, X2,X3 ≥ 01 2-Binomial Coefficients: Problem 8 (1 point) What is the coefficient of ¹¹ in the expansion of (x + 2)¹2+x²¹(x+3) ²²?
- 3) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMeA retail store in Des Moines, Iowa, receives shipments of a particular product from KansasCity and Minneapolis. Let x 5 number of units of the product received from Kansas City y 5 number of units of the product received from Minneapolisa. Write an expression for the total number of units of the product received by the retail store in Des Moines. b. Shipments from Kansas City cost $0.20 per unit, and shipments from Minneapolis cost$0.25 per unit. Develop an objective function representing the total cost of shipments to Des Moines. c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Des Moines. d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model…Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The co-factor for the first element in the coefficient matrix for this system is: A. -27 B. -45 C. 27 D. 45
- Q3:A/ Find the solution to the following linear programming problem by dual simplex method Min Z= 2X₁+4X₂ Subjected to: 2X₁-4X₂+2X3 ≥8 4X₁+2X₂-2X3 ≥ 12 X1, X2, X3 20Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.Asap