Solve the Following Problem Graphically AGraph the Constraints for This Problem

question 47

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.

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Definitions:

Fisheries

Areas with a concentration of aquatic organisms such as fish, crustaceans, and mollusks, which are harvested for human consumption or trade.

Commercial Large-Scale

Pertaining to production or operations conducted on a wide, extensive scale, primarily for economic gain.

Sport Fishing

The recreation of catching fish for pleasure or competition, as opposed to commercial fishing.

Sewage

Wastewater that typically contains contaminants and is produced by residential, industrial, and commercial establishments, requiring treatment before being released into the environment.