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For all Five With the constraints given above and a solution in the first quadra

ID: 366631 • Letter: F

Question

For all Five

With the constraints given above and a solution in the first quadrant, the feasible region

ABG

GHJ

PROBLEM IS INFEASIBLE.

BCHG

KJF

ACH

BDEG

AGJK

CDEH

ADE

The feasible region exists, but it is not among this list.

EHJF

A.

ABG

B.

GHJ

C.

PROBLEM IS INFEASIBLE.

D.

BCHG

E.

KJF

F.

ACH

G.

BDEG

H.

AGJK

I.

CDEH

J.

ADE

K.

The feasible region exists, but it is not among this list.

L.

EHJF

150 Constraint 1 30 X + 10 Y = 1500 Constraint 2 10 X + 10 Y = 1000 100 Constraint 3 X2 50 50 0 50 100 150 With the constraints given above and a solution in the first quadrant, the feasible region is NOTE: There is a typo in the chart above. [X50 should read as Y250]

Explanation / Answer

Graph 1 and 2 are same.

1) and 2) Feasible region is a single point G , it satisfies the three constraints.

3) feasible region is BCGH , it is bounded by Y-axis, towards origin for C1 and C2 and away from origin for C3.

4) feasible region is AGJK , it is unbounded region, away from origin for C1, C2 and C3.

5) feasible region is the line segment HJ , because Y = 50 (fixed), it is bounded between constraints C1 and C2.

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