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1) What is the profit-per-unit at which the production plan will change for each type of...

1) What is the profit-per-unit at which the production plan will change for each type of wine?

MAX Z = 9000X1 + 12000X2

ST          4X1 + 8X2\leq 64                  (Grapes)

   5X1 + 5X2\leq 50                  (Storage)

15X1 + 8X2\leq 120              (Processing Time)

              X1\leq 7                                (Demand for Valley Nectar Wine)

              X2\leq 7                                (Demand for Valley Red Wine)

              X1, X2\geq 0

X1         X2                       RHS       Dual

Maximize           9000      12000                               

Constraint 1       4            8    \leq           64          750        (Grapes)

Constraint 2       5            5    \leq           50          1200      (Storage)

Constraint 3       15          8    \leq           120        0            (Processing Time)

Constraint 4       1            0    \leq           7            0            (Demand for Valley Nectar Wine)

Constraint 5       0            1    \leq           7            0            (Demand for Valley Red Wine)

Solution->          4            6    108000

Variable              Value                  Reduced Cost    Original Val        Lower Bound Upper Bound

X1                        4                           0                           9000                    6000                    12000

X2                        6                           0                           12000                  9000                    18000

Constraint         Dual Value         Slack/Surplus    Original Val        Lower Bound Upper Bound

Constraint 1       750                      0                           64                        57.1429              68

Constraint 2       1200                    0                           50                        45                        52.7273

Constraint 3       0                           12                        120                      108                      Infinity

Constraint 4       0                           3                           7                           4                          Infinity

Constraint 5       0                           1                           7                           6                          Infinity

Variable              Status                 Value

X1                        Basic                    4

X2                        Basic                    6

slack 1                 NONBasic           0

slack 2                 NONBasic           0

slack 3                 Basic                    12

slack 4                 Basic                    3

slack 5                 Basic                    1

Optimal Value (Z)                          108000

business   Operations-Management   
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