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
Problem #7-17 Using the following equations, graph the constraints, and solve using the corner point...
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
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
Solve the following linear programming problem using corner point method Minimise Cost = 7.6X1 + 11X2 s. t. 5X1 + 3X2 ≤ 21 4X1 + 6X2 ≤ 24 6X1 ≥ 12 X1, X2 ≥ 0
SIMPLEX METHOD Solve the following problem using simplex method LP MODEL Let X1 no. of batches of Bluebottles X2 no. of batches of Cleansweeps Objective: Max Z-10X1+20X2 Subject to: 3X1 4X2 S 3 Plant 1 assembly capacity constraint -X1 2-5 5X1 +6X2 s 18 Z, X1, X2 20 Plant 2 capacity constraint Plant 3 capacity constraint
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
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
1. Solve the following LP problem. Solve graphically. Maximize profit = 9x1+ 7x2 Subject to:2x1+ 1x2≤40 x1 + 3x2≤30 x1, x2≥0
5. Solve the following LP problem using Phase I and Phase II simplex algorithm. Maximize f(X) = x1 + x2, subject to: 4x1-2x2 8 XI6 X1, X20 5. Solve the following LP problem using Phase I and Phase II simplex algorithm. Maximize f(X) = x1 + x2, subject to: 4x1-2x2 8 XI6 X1, X20
Solve the following LP problem GRAPHICALLY Maximize profit = 9x1 + 7x2 Subject to: 2x1 + 1x2 ≤ 40 x1 + 3x2 ≤ 30 x1, x2 ≥ 0
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...