# Chapter7-Tutorial-Questions - Chapter 7: Introduction to...

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Chapter 7: Introduction to Linear ProgrammingTutorial Review QuestionsSolutions1.Solve the following system of simultaneous equations.6X + 2Y = 502X + 4Y = 20
2.Solve the following system of simultaneous equations.6X + 4Y = 402X + 3Y = 20
3.Consider the following linear programming problemMax8X + 7Ys.t.15X + 5Y ≤ 7510X + 6Y ≤ 60X + Y ≤ 8X , Y ≥ 0a. Use a graph to show each constraint and the feasible region.b. Identify the optimal solution point on your graph. What are the values of X and Y at theoptimal solution?c. What is the optimal value of the objective function?
4.For the following linear programming problem, determine the optimal solution by the graphical solutionmethodMax-X + 2Ys.t.6X -2Y ≤ 3-2X + 3Y ≤ 6X + Y ≤ 3X , Y ≥ 0

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