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Solve the Following Problem Graphically AGraph the Constraints for This Problem

question 27

Essay

Solve the following problem graphically.
Maxx+2y s.t. 6x+8y487x+5y35x,y0 and y is integer \begin{array} { l l } \operatorname { Max } & x + 2 y \\\text { s.t. } & 6 x + 8 y \leq 48 \\& 7 x + 5 y \geq 35 \\& x , y \geq 0 \text { and } 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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