Homework Answers
The LP will be
Max 85x1 + 120x2 + 40x3 + 80x4
ST
0.10x1 + 0.25x2 + 0.08x3 + 0.21x4 <= 72
3x1 + 2x2 + x3 + x4 <= 1200
x1 + x2 <= 500
x3 + x4 <= 500
x1,x2,x3,4 >= 0
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QUESTION 10 If the profit per dozen changes to: Sweatshirt - F...
samplex Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2...
samplex
Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1...
Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1 + 2x2 + 3x3 Subject to: X1 + 9x2 + 3x3 = 40 6X1 + X2 + 6x3 s 50 X120,X220, X320 O X1 + 9x2 + 3x3 = 51 +40 6x1 + x2 +6x3 = S2 + 50 O X1 +9x2 + 3x3 +51 = 40 6x1 + x2 + 6x3 +S2 = 50 X1 +9x2 + 3x3 +51 = 40 6X1 +...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 8x + 8y. K0,5) (5/2,5) (0,4) (6,0) (10,0) 56,32 80,32 -32,-56 48,40 Question 11 Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. In V10192 In 10+ 3 Int+2 in v 01/ in In 90t + 2 in v Jin In 10+ 3 Int + In v In 10 +...
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z =...
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...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements and sales price for the three products are as shown in Table 10. Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at Sl per hour. To maximize Gepbab profits, solve the following LP: max z = 6X1 + 8X2 + 13X3 - L s.t. 3X1 + 4X2 + 6X3 - LS 0 2X1 + 2X2...
In the final profit maximizing solution for the problem, which constraint(s) has(have) a slack/surplus variable(s) equal...
In the final profit maximizing solution for the problem, which constraint(s) has(have) a slack/surplus variable(s) equal to zero? Given the following LP, answer questions 9-14 Z 10x+7x Maximize Subject to: 5x+3x15 2x1+3x22 12 x2 х, хз 20 Con 1 Con 2 Con 3 3 2 4 5 10 X1 Both constraints # 1 and # 2 Constraint #1 Constraint #2 Constraint #3 None of the above гоо How many surplus variables would appear in the standard formulation of the problem?...
Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2...
Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2 + 4x3 + 3x+ 550 (x5) 2x1 + 3x2 + x3 + 2x‘ S 20O (x7) R.S 4-6 -31 /4 3 1 550 700 200 0 o1 3 o 2 Z O 400 2/11 1/12/10 o 1/11 662 / ง 9 525 2 /20 425 2/ 25 1/2-1/10 13/20 1 0 。 3a. Read off the...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2 + x3 + 9x4 subject to Xy+ 7x2 + x3 + X4 5 10 8xy + x2 + 4x3 + X4 180 Xy 20,X220, X3 20,X420 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when xy = X2 s, -and s2 = B. There is no maximum. The initial simplex...
15. Combining raw materials M and M2 and labor, a company produces units of A. B, and C. The requ...
15. Combining raw materials M and M2 and labor, a company produces units of A. B, and C. The requirements and profit (excluding the cost of labor) for the production and sale of a unit of each are as follows: Mi (lb) M2 (lb) Labor (hr) Profit (S) 105 165 60 12 For the next month, the company has available 1 ton of Mi. 2.5 tons of M2, 500 hr of labor at $18/hr, and up to an additional 120...
Exercise 2 Linear Programming 1. The Scrod Manufacturing Co. produces two key items – special-purpose Widgets...
Exercise 2 Linear Programming 1. The Scrod Manufacturing Co. produces two key items – special-purpose Widgets (W) and more generally useful Frami (F). Management wishes to determine that mix of W & F which will maximize total Profits (P). Data W F Unit profit contributions $ 30 $ 20 Demand estimates (unit/week) 250 500 Average processing rates – each product requires processing on both machines (units/hour) Machine #1 2 4 Machine #2 ...
samplex
Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1 + 2x2 + 3x3 Subject to: X1 + 9x2 + 3x3 = 40 6X1 + X2 + 6x3 s 50 X120,X220, X320 O X1 + 9x2 + 3x3 = 51 +40 6x1 + x2 +6x3 = S2 + 50 O X1 +9x2 + 3x3 +51 = 40 6x1 + x2 + 6x3 +S2 = 50 X1 +9x2 + 3x3 +51 = 40 6X1 +...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 8x + 8y. K0,5) (5/2,5) (0,4) (6,0) (10,0) 56,32 80,32 -32,-56 48,40 Question 11 Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. In V10192 In 10+ 3 Int+2 in v 01/ in In 90t + 2 in v Jin In 10+ 3 Int + In v In 10 +...
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...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements and sales price for the three products are as shown in Table 10. Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at Sl per hour. To maximize Gepbab profits, solve the following LP: max z = 6X1 + 8X2 + 13X3 - L s.t. 3X1 + 4X2 + 6X3 - LS 0 2X1 + 2X2...
In the final profit maximizing solution for the problem, which constraint(s) has(have) a slack/surplus variable(s) equal to zero? Given the following LP, answer questions 9-14 Z 10x+7x Maximize Subject to: 5x+3x15 2x1+3x22 12 x2 х, хз 20 Con 1 Con 2 Con 3 3 2 4 5 10 X1 Both constraints # 1 and # 2 Constraint #1 Constraint #2 Constraint #3 None of the above гоо How many surplus variables would appear in the standard formulation of the problem?...
Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2 + 4x3 + 3x+ 550 (x5) 2x1 + 3x2 + x3 + 2x‘ S 20O (x7) R.S 4-6 -31 /4 3 1 550 700 200 0 o1 3 o 2 Z O 400 2/11 1/12/10 o 1/11 662 / ง 9 525 2 /20 425 2/ 25 1/2-1/10 13/20 1 0 。 3a. Read off the...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2 + x3 + 9x4 subject to Xy+ 7x2 + x3 + X4 5 10 8xy + x2 + 4x3 + X4 180 Xy 20,X220, X3 20,X420 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when xy = X2 s, -and s2 = B. There is no maximum. The initial simplex...
15. Combining raw materials M and M2 and labor, a company produces units of A. B, and C. The requirements and profit (excluding the cost of labor) for the production and sale of a unit of each are as follows: Mi (lb) M2 (lb) Labor (hr) Profit (S) 105 165 60 12 For the next month, the company has available 1 ton of Mi. 2.5 tons of M2, 500 hr of labor at $18/hr, and up to an additional 120...
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