Urgent! Please help me The decision variables represent the amounts of ingredien

Question

Urgent! Please help me

The decision variables represent the amounts of ingredients 1, 2, and 3 to put into a blend. The objective function represents profit. The first three constraints measure the usage and availability of resources A, B, and C. The fourth constraint is a minimum requirement for ingredient 3. The following model is to be used.

MAX 4X1+6X2+7X3

S.T.

1) 3X1+2X2+5X3<120

2) 1X1+3X2+3X3<80

3) 5X1+5X2+8X3<160

4) 1X3>10

Use the information to solve the problem and generate the sensitivity report.

Complete the following information from the report

The decision variables represent the amounts of ingredients 1, 2, and 3 to put into a blend. The objective function represents profit. The first three constraints measure the usage and availability of resources A, B, and C. The fourth constraint is a minimum requirement for ingredient 3. The following model is to be used.

MAX 4X1+6X2+7X3

S.T.

1) 3X1+2X2+5X3<120

2) 1X1+3X2+3X3<80

3) 5X1+5X2+8X3<160

4) 1X3>10

Use the information to solve the problem and generate the sensitivity report.

Explanation / Answer

OPTIMAL SOLUTION

Objective Function Value =         166.000

                Variable             Value             Reduced Costs  

                ----------           ----------          ------------------

                    X1                   0.000                   2.000

                    X2                 16.000                   0.000

                    X3                 10.000                   0.000

                Constraint        Slack/Surplus        Dual Prices   

                ------------        ----------------       ----------------

                       1                     38.000                  0.000

                       2                       2.000                  0.000

                       3                       0.000                  1.200

                       4                       0.000                 -2.600

OBJECTIVE COEFFICIENT RANGES

                Variable lower limit, current value, upper limit

                ---------- --------------- ---------------- ---------------

                    X1         No Low Limit, 4.000, 6.000

                    X2 4.375, 6.000 No Upper Limit

                    X3         No Low Limit 7.000 9.600

RIGHT HAND SIDE RANGES

              Constraint, allowed dec., shadow price,  

  

ANSWER IS RIGHT PLEASE RATE ME POSITIVE

THANKS

I have edited this question now you will not get problem.

Constraint, allowed decrease shadow price allowed increase 1 82.00 120.00 no upper limit 2 78.00 80.00 no upper limit 3 80.00 160.00 163.00 4 8.889 10.00 20.00

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