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Consider the following linear programming problem: Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Maximize ProfitÂ Â Â 30X + 50Y Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Subject toÂ Â Â Â Â Â Â Â Â Â Â Â Â 4X +Â Â 5Y = 40,000 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X â‰¥Â Â ...

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Consider the following linear programming problem:
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Maximize ProfitÂ Â Â 30X + 50Y
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SubjecttoÂ Â Â Â Â Â Â Â Â Â Â Â Â 4X +Â Â 5Y = 40,000
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X â‰¥Â Â 3,000
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Y â‰¥Â Â 4,000
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X â‰¥ 0 and Y â‰¥ 0
Use a graph to show each constraint and to identifyfeasible region.
Identify the optimal solution point on your graph. What are thevalues of X and Y at the optimal solution?
From your graph, what is the optimal value of the objectivefunction?

Answer & Explanation Solved by verified expert

3.8 Ratings (453 Votes)

here using given LPP we find optimal solution by ghraphicalmethod See Answer

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