Question

In: Advanced Math

Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...

Use the simplex method to solve the linear programming problem.

Maximize

P = x + 2y + 3z

subject to
2x + y + z 56
3x + 2y + 4z 96
2x + 5y 2z 40
x ≥ 0, y ≥ 0, z ≥ 0  

The maximum is P =  at

(x, y, z) =

Solutions

Expert Solution


Related Solutions

Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y + 3z subject to 2x + y + z ≤ 21 3x + 2y + 4z ≤ 36 2x + 5y − 2z ≤ 15 x ≥ 0, y ≥ 0, z ≥ 0
Use the simplex method to solve the linear programming problem. Maximize   P = x + 2y...
Use the simplex method to solve the linear programming problem. Maximize   P = x + 2y + 3z subject to   2x + y + z ≤ 28 3x + 2y + 4z ≤ 48 2x + 5y − 2z ≤ 20 x ≥ 0, y ≥ 0, z ≥ 0   The maximum is P = ________ at (x, y, z) = (_______)       .
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y subject to 3x + 4y ≤ 33 x + y ≤ 9 2x + y ≤ 13 x ≥ 0, y ≥ 0   The maximum is P =  at (x, y)
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y subject to 3x + 4y ≤ 33 x + y ≤ 9 2x + y ≤ 13 x ≥ 0, y ≥ 0   The maximum is P =  at (x, y)
Use the simplex method to solve the linear programming problem. Maximize P = 4x + 3y...
Use the simplex method to solve the linear programming problem. Maximize P = 4x + 3y subject to 3x + 6y ≤ 33 x + y ≤ 7 3x + y ≤ 19 x ≥ 0, y ≥ 0   The maxium P= ____ at (x,y) ____
Use the simplex method to solve the linear programming problem. Maximize objective function: Z= 6x1 +...
Use the simplex method to solve the linear programming problem. Maximize objective function: Z= 6x1 + 2x2 Subject to constraints: 3x1 + 2x2 <=9 x1 + 3x2 <= 5 when x1, x2 >=0
Use the simplex method to solve the linear programming problem. The maximum is ___ when x1=...
Use the simplex method to solve the linear programming problem. The maximum is ___ when x1= ___ and x2=___ a.) Maximize : z= 24x1+2x2 Subject to: 6x1+3x2<=10, x1+4x2<=3 With: x1>=0, x2>=0 b.) Maximize: z=2x1+7x2 Subject to: 5x1+x2<=70, 7x1+2x2<=90, x1+x2<=80 With: x1,x2>=0 c.) Maximize: z=x1+2x2+x3+5x4 Subject to: x1+3x2+x3+x4<=55, 4x+x2+3x3+x4<=109 With: x1>=0, x2>- 0, x3>=0, x4>=0 d.) Maximize: z=4x1+7x2 Subject to: x1-4x2<=35 , 4x1-3x2<=21 With: x1>=0, x2>=0
Solve the linear programming problem by the method of corners. Maximize P = 5x + 6y    ...
Solve the linear programming problem by the method of corners. Maximize P = 5x + 6y     subject to   x + y ≤ 10 3x + y ≥ 12 −2x + 3y ≥ 8 x ≥ 0, y ≥ 0  
Solve the linear programming problem by the method of corners. Maximize P = 3x + 6y    ...
Solve the linear programming problem by the method of corners. Maximize P = 3x + 6y     subject to   x + y ≤ 10 3x + y ≥ 12 −2x + 3y ≥ 13 x ≥ 0, y ≥ 0   The maximum is P = ? at (x, y) = ( ? ),
Solve the following linear programming problem using the dual simplex method: max ? = −?1 −...
Solve the following linear programming problem using the dual simplex method: max ? = −?1 − 2?2 s.t. −2?1 + 7?2 ≤ 6 −3?1 + ?2 ≤ −1 9?1 − 4?2 ≤ 6 ?1 − ?2 ≤ 1 7?1 − 3?2 ≤ 6 −5?1 + 2?2 ≤ −3 ?1,?2 ≥ 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT