Feasible Region

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The suggested points have been plotted on the graph. Feasible points are green, infeasible points are black.

i) 4 bags of high grade and 4 bags of low grade? No, infeasible. It's above the line.
ii) 1 bag of high grade and 11 bags of low grade? Yes, it's in the interior of the feasible region.
iii) 3 bags of high grade and 7 bags of low grade? No, infeasible.
iv) 4 bags of high grade and no low grade? Yes, feasible. It's on a boundary of the feasible region.
iv) 2 bags of high grade and 9 bags of low grade? Yes, feasible. It's on a boundary of the feasible region.

Exercise 2.

a) 3x+5y≤35

i) x=4, y=4? Feasible
ii) x=10, y=3? Infeasible
iii) x=3, y=7? Infeasible

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b) 4x+6y≤54

i) x=4, y=4? Feasible
ii) x=10, y=3? Infeasible
iii) x=3, y=7? Feasible

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