Download A B C D

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
A
max problem
constraint #1
constraint #2
constraint #3
Profit
B
Product A (x)
C
Product B (y)
1
4
0
6
obj funct, p=
78
Decision Variable
Product A (x)
Product B (y)
Product C (z)
3
0
15
Constraints
constraint #1
constraint #2
constraint #3
non-neg 1
non-neg 2
non-neg 3
equation
D
Product C (z)
1
3
3
5
limit
18
42
30
3
0
15
20
42
30
0
0
0
1
2
2
4
E
available
20
42
30
MAX
F
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
A
max problem
constraint #1
constraint #2
constraint #3
Profit
B
Product A (x)
1
4
0
6
obj funct, p=
=B5*B10+C5*B11+D5*B12
Decision
Variable
=B1
=C1
=D1
Constraints
=A2
=A3
=A4
non-neg 1
non-neg 2
non-neg 3
C
Product B (y)
1
3
3
5
0
0
0
equation
=B2*B10+C2*B11+D2*B12
=B3*B10+C3*B11+D3*B12
=B4*B10+C4*B11+D4*B12
=B10
=B11
=B12
limit
=E2
=E3
=E4
0
0
0
D
Product C (z)
1
2
2
4
E
available
20
42
30
MAX
F
Microsoft Excel 14.0 Answer Report
Worksheet: [solver_lab.xls]problem
Report Created: 11/18/2010 1:01:02 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: Simplex LP
Solution Time: 0.125 Seconds.
Iterations: 5 Subproblems: 0
Solver Options
Max Time 100 sec, Iterations 100, Precision 0.000001
Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 5%, Solve Without Integer Constraints, Assume
Objective Cell (Max)
Cell
Name
$B$7 obj funct, p= Product A (x)
Original Value
0
Final Value
78
Variable Cells
Cell
Name
$B$10 Product A (x) Product A (x)
$B$11 Product B (y) Product A (x)
$B$12 Product C (z) Product A (x)
Original Value
0
0
0
Final Value
Cell Value
Formula
$B$15<=$C$15
$B$16<=$C$16
$B$17<=$C$17
$B$18>=$C$18
$B$19>=$C$19
$B$20>=$C$20
Constraints
Cell
Name
$B$15 constraint #1 equation
$B$16 constraint #2 equation
$B$17 constraint #3 equation
$B$18 non-neg 1 equation
$B$19 non-neg 2 equation
$B$20 non-neg 3 equation
18
42
30
3
0
15
Integer
3 Contin
0 Contin
15 Contin
Status
Slack
Not Binding
2
Binding
0
Binding
0
Not Binding
3
Binding
0
Not Binding
15
ut Integer Constraints, Assume NonNegative
Microsoft Excel 14.0 Sensitivity Report
Worksheet: [solver_lab.xls]problem
Report Created: 11/18/2010 1:01:02 AM
Variable Cells
Cell
Name
$B$10 Product A (x) Product A (x)
$B$11 Product B (y) Product A (x)
$B$12 Product C (z) Product A (x)
Final Reduced Objective Allowable Allowable
Value
Cost
Coefficient Increase
Decrease
3
0
6
2
6
0
0
5
1
1E+30
15
0
4
1E+30 0.666666667
Constraints
Cell
$B$15
$B$16
$B$17
$B$18
$B$19
$B$20
Name
constraint #1 equation
constraint #2 equation
constraint #3 equation
non-neg 1 equation
non-neg 2 equation
non-neg 3 equation
Final Shadow Constraint Allowable
Value
Price
R.H. Side
Increase
18
0
20
1E+30
42
1.5
42
8
30
0.5
30
8
3
0
0
3
0
-1
0
10
15
0
0
15
Allowable
Decrease
2
12
30
1E+30
0
1E+30