Solve the Following Problem Graphically AGraph the Constraints for This Problem

Essay

Solve the following problem graphically.
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$$\begin{array} { l l } \text { Max } & X + 2 Y \\\text { s.t. } & 6 X + 8 Y \leq 48 \\& 7 X + 5 Y \geq 35 \\& X , Y \geq 0 \\& Y \text { is integer }\end{array}$$
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.