Solve the Following LP Problem Graphically Using Level Curves

question 18

Essay

Solve the following LP problem graphically using level curves.
MIN: ^{8 X}₁ ^{+ 12 X}₂
Subject to: ^{2 X}₁ ^{+ 1 X}₂ ^{≥ 16}
2 X₁ + 3 X₂ ≥ 36
7 X₁ + 8 X₂ ≥ 112 X₁,X₂ ≥ 0

---

Definitions:

Ocean Surface Circulation

The large-scale movement of waters in the ocean surface, driven by wind, coriolis effect, and differences in water density.

Coriolis Effect

The apparent deflection of moving objects when viewed in a rotating reference frame; it is observed in the rotation of weather patterns and ocean currents.

Solar Energy

Energy derived from the sun’s rays, utilized through various technologies for heating, electricity, and other applications.

Genus Rhizobium

A group of soil-borne bacteria that form symbiotic relationships with leguminous plants, fixing nitrogen in nodules on their roots.