. lop Hat x y Take Tost: Quiz 1-DSCl 3870 x M Mathway | Math Problem Sol, × ( G

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. lop Hat x y Take Tost: Quiz 1-DSCl 3870 x M Mathway | Math Problem Sol, × ( G A Linear Programming proble nao a ri C secure https:// earn untedu/webapps assessment take/take sp ec x se assessmen d 25a e se hr, ker on um 5km Remaining Time: 08 minutes, 39 seconds. Question Completion Status: Click Submit to complete this assessment. Question 5 o Question 5 1 points Saved A Linear Programming problem has the following objective function: Max 3x -2y. The feasible region has these!5 extreme points. Which one is the optimal solution? (0,5) 16,5) (4,1) (3,0) (5.3) Click Submit to complete this assessment. Question 5 of 5 Save and Submt

Explanation / Answer

An optimal solution is a feasible solution where the objective function reaches its maximum (or minimum) value

the most profit or the least cost.

Now let us check the each point to which one gives maximum value as we have Max 3x - 2y.

If Feasible solution (0,5) then 3(0)-2(5) = -10

If Feasible solution (6,5) then 3(6)-2(5) = 8

If Feasible solution (4,1) then 3(4)-2(1) = 10

If Feasible solution (3,0) then 3(3)-2(0) = 9

If Feasible solution (0,5) then 3(5)-2(3) = 9

So when analuse above all point (4,1) is giving the max profit for given linear problem so that would be the optimum solution for Max 3x - 2y

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