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:

Optimal Cost

The lowest possible cost at which a particular set of goods or services can be produced or acquired, taking into consideration factors such as efficiency and resource allocation.

Double-subscripted Variables

Variables in mathematical modeling that are indexed by two subscripts, often used to represent elements in matrices or two-dimensional arrays.

Price Range

The difference between the highest and lowest prices at which a commodity or service is traded over a particular period of time.