Solve the Following Problem Graphically $\le$ 48
7X + 5Y $\ge$ 35
X, Y

question 6

Essay

Solve the following problem graphically.
Max
X + 2Y
s.t.
6X + 8Y $\le$ 48
7X + 5Y $\ge$ 35
X, Y $\ge$ 0
Y integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round down to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Self-Test

A diagnostic procedure or check that a system performs on itself to ensure it is operating correctly.

Modulator Valves

Valves that modulate the pressure of fluids in systems such as automatic transmissions and ABS braking systems, for controlled operation.

Reluctor Wheel

A toothed rotor that is driven through a stationary magnetic field to produce an AC voltage; used as shaft and wheel speed sensors.

Exciter Ring

Preferred term by one OEM for the toothed reluctor used in a wheel speed sensor.