Question

SoꙆʋᥱ tᖾᥱ ƒoꙆꙆoωɩᥒɠ LPP ɠɾᥲρᖾɩᥴᥲꙆꙆყ:

Mᥲxɩຕɩ⳽ᥱ Z = 2x + 3ყ, ⳽ᥙᑲʝᥱᥴt to x + ყ ≤ 4, x ≥ 0, ყ ≥ 0

KɩᥒᑯꙆყ ᑯoᥒ't ⳽ρᥲຕ⚠︎​

Answer 1

• ➪The shaded region (OAB) in the is the feasible region determined by the system of constraints x ≥ 0, y ≥ 0 and x + y ≤ 4.

• ➪The feasible region OAB is bounded, so, maximum value will occur at a corner point of the feasible region.

• ➪ Corner Points are O(0, 0), A (4, 0) and B (0, 4).

• ➪➪ Evaluate Z at each of these corner point.

★ᴘʀᴇғᴇʀ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ғᴏʀ ɢʀᴀᴘʜ★

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Answer 2

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•The shaded region (OAB) in the above attachment is the feasible region determined by the system of constraints x ≥ 0, y ≥ 0 and x + y ≤ 4.

•The feasible region OAB is bounded, so, maximum value will occur at a corner point of the feasible region.

Corner Points are O(0, 0), A (4, 0) and B (0, 4).

Evaluate Z at each of these corner point.

•Hence, the maximum value of Z is 12 at the point (0, 4)

@itzoreø♥️