Page 281 Problem #7-18 Using the following equations, graph the constraints, and solve using the corner point approach. NOTE: is a minimization problem like Holiday Turkey example in book
X1 = number of undergraduate courses
X2 = number of graduate courses
Minimize cost = $2,500X1 + $3,000X2
subject to X1 >= 30
X2 >= 20
X1 + X2 >= 60
X1, X2 >= 0
Page 281 Problem #7-18 Using the following equations, graph the constraints, and solve using the...
Page 280 Problem #7-14 Using the following equations, graph the constraints, and solve using the corner point approach. Let: X1 = number of air conditioners to be produced X2 = number of fans to be produced Maximize profit = 25X1 + 15X2 subject to 3X1 + 2X2 <= 240 (wiring) 2X1 + 1X2 <= 140 (drilling) X1, X2 >= 0
Problem #7-17 Using the following equations, graph the constraints, and solve using the corner point approach. X1 = number of benches produced X2 = number of tables produced Maximize profit = $9X1 + $20X2 subject to 4X1 + 6X2 <= 1,200 hours 10X1 + 35X2 <= 3,500 feet X1, X2 >= 0
a) Solve the following problem using graphical method (using the following graph): Minimize f(x,y) - 2x-y subject to the constraints x2+y's 20 y<x (1) (2) (In the space provided below the graph, please write down your solution clearly) we wish to solve the above problem using Exterior Penalty Function approach. Define b) Suppose augmented cost function and explain how to use it to find a solution to the above problem. a) Solve the following problem using graphical method (using the...
Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2. Minimize f(x,y)=2x-y subject to the constraints x2+ y2s 20. y Sx (1) (2) (In the space provided below the graph, please write down your solution clearly) b) Suppose we wish to solve the above problem using Exterior Penalty Function approach. Define an augmented cost function and explain how to use it to find a solution to the above problem. Name.... * an10 a) Solve...
Name.... * an10 a) Solve the following problem using graphical method (using the following graph): 2. Minimize f(x,y)=2x-y subject to the constraints x2+ y2s 20. y Sx (1) (2) (In the space provided below the graph, please write down your solution clearly) b) Suppose we wish to solve the above problem using Exterior Penalty Function approach. Define an augmented cost function and explain how to use it to find a solution to the above problem. Name.... * an10 a) Solve...
The dean of the western college of Business must plan the schools course offerings for the fall semester. Student demands make it necessary to offer at least 30 undergraduate and 20 graduate courses in the term. Faculty contracts also dictate that at least 60 courses be offered in total. Each undergraduate course taught costs the college an average of $2,500 in faculty wages, and each graduate course costs $3,000. How many undergraduate and graduate courses should be taught in the...
Solve the following using graphing techniques: a. Maximize 2x1 + 3x2 subject to the constraints, 2x1 + 2x2 < 8,X1 + 2x25 4, and X1 > 3, x2 > 0
3. Solve the following LP problem using Solver in MS Excel. Minimize cost = 50x1 + 10x2 + 75x3 Subject to: x1 - x2 = 1000 2x2 + 2x3 = 2000 x1 ≤ 1500 x1, x2, x3 ≥ 0
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do not check the second order sufficiency conditions) b) If the right side of the above constraint (1) is changed to 3.4, using sensitivity analysis find the approximate new minimum value of fX). a) Solve the following problem using Lagrange multiplier method. Minimize fCX)-x1+ x2+X 4. subject to: x2+x-3 X1+3x2+ 2x)- 7 (1) (2) (Note: Please do...