Solve the Following Problem Graphically $\ge$ 27
7X + 6Y $\ge$ 42
4X + 8Y

question 13

Essay

Solve the following problem graphically.
Min
6X + 11Y
s.t.
9X + 3Y $\ge$ 27
7X + 6Y $\ge$ 42
4X + 8Y $\ge$ 32
X, Y $\ge$ 0 and integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round up to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Rapid Rescheduling

The quick adjustment and rearrangement of production or work schedules in response to changes in demand or supply.

Weather Delays

Delays in activities or operations due to unfavorable or extreme weather conditions.

Constant Work-In-Process (ConWIP)

A pull system for controlling the total amount of work in process in a manufacturing system, maintaining a constant level to improve flow and reduce waste.

Input-Output Control

A management tool used in production and operations that monitors the inputs and outputs of a process, aiming to maintain efficient production and resource utilization.