Question: (a) Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program. Max 30 x 1 + 25 x 2

(a) Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program.

Max 30x1+ 25x2

s.t.

3x1+ 1.5x2 400

1.5x1+ 2x2 250

1x1+ 1x2 150

x1,x2 0 andx2integer

Write the LP Relaxation for the problem but do not attempt to solve.

(b) Indicate whether the following linear program is an all-integer linear program or a mixed-integer linear program.

Max 3x1+ 4x2

s.t.

2x1+ 4x2 8>

2x1+ 6x2 12

x1,x2 0 and integer

Write the LP Relaxation for the problem but do not attempt to solve.

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