Question: Consider the objective function =3+6Q=3x+6y that is to be maximized subject to the following constraints: 0xy0, 4+7284x+7y28, +3x+y3, 0x0, 0y0 (a) Graph all constraints and

Consider the objective function =3+6Q=3x+6y that is to be maximized subject to the following constraints:

0xy0,

4+7284x+7y28,

+3x+y3,

0x0,

0y0

(a) Graph all constraints and indicate the feasible region S.

(b) Is there a maximum value of Q?

(c) If your answer to (b) is yes, find the maximum value and state where it occurs. Otherwise, write N/A.

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