Solve the Following Problem by the Simplex Method $\le$ 50
X₁ + X₂ + 1

question 44

Essay

Solve the following problem by the simplex method.
Max
14x₁ + 14.5x₂ + 18x₃
s.t.
x₁ + 2x₂ + 2.5x₃ $\le$ 50
x₁ + x₂ + 1.5x₃ $\le$ 30
x₁ , x₂ , x₃ $\ge$ 0

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Definitions:

NPV

A financial metric that calculates the present value of projected cash flows of an investment, minus the initial investment cost.

Discount Rate

The interest rate used to determine the present value of future cash flows in discounted cash flow analysis, reflecting the opportunity cost of capital.

Drive Axle

An axle that is connected to the drive train and responsible for transferring power from the engine to the wheels.

Ring Gear

Spur gear such as that used on a flywheel for engine cranking, or the outer member of a planetary gearset.