Question
In: Statistics and Probability
Solve the following linear programming problem using Solver. Be sure to write in your optimal solution...
Solve the following linear programming problem using Solver. Be sure to write in your optimal solution below the problem.
Max Z = 20X1 + 30X2 + 25X3 + 32X4
s.t. 4X1 + 8X2 + 5X3 + 6X4 ≤ 40
X1 + X2 ≥ 3
(X1 + X2) ≤ (X3 + X4)
x1/x2 ≥ 3/2
X1 = __________X2 = ___________X3 = ___________X4 = ___________Z = ____________
Solutions
Expert Solution
x1 = 3, x2 = 0, x3 = 0, x4 = 4.6667
Profit z = 209.3333
orchestra answered 1 year agoRelated Solutions
Solve the following linear programming problem using Solver. Be sure to write in your optimal solution...
Solve the following linear programming problem using Solver. Be
sure to write in your optimal solution below the problem. Max Z =
20X1 + 30X2 + 25X3 + 32X4 s.t. 4X1 + 8X2 + 5X3 + 6X4 ≤ 40 X1 + X2 ≥
3 (X1 + X2) ≤ (X3 + X4) ?1 ?2 ≥ 3 2 X1 = __________ X2 =
___________ X3 = ___________ X4 = ___________ Z = ____________
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate...
Solve the given linear programming problem using the simplex
method. If no optimal solution exists, indicate whether the
feasible region is empty or the objective function is unbounded.
(Enter EMPTY if the feasible region is empty and UNBOUNDED if the
objective function is unbounded.)
Minimize
c = x + y + z +
w
subject to
x
+
y
≥
80
x
+
z
≥
60
x
+
y
−
w
≤
50
y
+
z
−
w
≤
50...
Problem: Using Solver, solve the linear program to find the optimal number of batches to make of...
Problem: Using Solver, solve the linear program to
find the optimal number of batches to make of each of the three
cookies.
Price per chocolate chip
cookie
$
1.50
Price per sugar cookie
$
1.00
Price per snickerdoodle
cookie
$
1.00
Recipes for one batch
Number of cookies/batch
20
20
30
Ingredient
Chocolate chip cookie recipe
Sugar cookie recipe
Snickdoodle recipe
Butter (sticks)
2
2
2
Sugar (cups)
1
2
1
Eggs
2
3
1
Chocolate chips (cups)
1
0
0...
Distinguish between basic feasible solution, feasible solution and optimal solution of a linear programming problem. Solve...
Distinguish between basic feasible solution, feasible solution
and optimal solution of a linear programming problem. Solve the
following LPP graphically:
Y=q1+4q2
Subject to 2q1+6q2<=36
2q1+2q2<=16
4q1+2q2<=28
q1,q2>=0
Solve the following linear programming problem by solver. Maximize Z = 7 x1 + 5 x2...
Solve the
following linear programming problem by solver.
Maximize Z = 7 x1 + 5 x2 + 5
x3
subject to
x1 + x2 + x3 <= 25
2 x1 + x2 + x3 <= 40
x1 +
x2 <=
25
x3 <= 6
x1, x2, x3 >= 0 (non-negativity conditions)
For the following linear programming problem, determine the optimal solution by the graphical solution method Max...
For the following linear programming problem, determine the optimal
solution by the graphical solution method
Max
-x + 2y
s.t.
6x - 2y <= 3
-2x + 3y <= 6
x + y <= 3
x, y
>= 0
The optimal solution of the linear programming problem is at the intersection of constraints 1 and...
The optimal solution of the linear programming problem is at the
intersection of constraints 1 and 2. Please answer the following
questions by using graphical sensitivity analysis.
Max s.t.
Max 2x1 + x2
s.t. 4x1 +1x2 ≤8
4x1 +3x2 ≤12
1x1 +2x2 ≤6
x1 , x2 ≥ 0
Over what range can the coefficient of x1 vary before the
current solution is no longer optimal?
Over what range can the coefficient of x2 vary before the
current solution is no...
Use the graphical method for linear programming to find the optimal solution for the following problem....
Use the graphical method for linear programming to find the
optimal solution for the following problem.
Maximize P = 4x + 5 y
subject to 2x + 4y ≤ 12
5x + 2y ≤ 10
and x ≥ 0, y ≥
0.
graph the feasible region
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and...
Solve this linear programming (LP) problem using the
transportation method. Find the optimal transportation plan and the
minimum cost. (Leave no cells blank - be certain to enter
"0" wherever required. Omit the "$" sign in your
response.)
Minimize
8x11
+
2x12 + 5x13 +
2x21 + x22
+ 3x23 +
7x31 + 2x32 +
6x33
Subject to
x11 + x12 +
x13
=
90
x21 + x22 +
x23
=
105
x31 + x32 +
x33
=
105
x11...
SOLVE THE FOLLOWING 2 LINEAR PROGRAMMING PROBLEMS USING EXCEL AND THE SOLVER ADD-IN. PLEASE SHOW ME...
SOLVE THE FOLLOWING 2 LINEAR PROGRAMMING PROBLEMS USING
EXCEL AND THE SOLVER ADD-IN. PLEASE SHOW ME ALL THE EXCEL
STEPS.
PROBLEM #1: Maximize Z = $60X +
$90Y
Subject to: 60X + 30Y >= 1,500
100X + 100Y <= 6,000
Y >= 30
X, Y >= 0
PROBLEM #2: Minimize Z = $3,000X + $1,000Y
Subject to: 60X + 20Y >=
1,200
10X + 10Y >=
400
...
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