Integer and Non-Integer Solutions

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

i) 3.4 bags of high grade and 3.6 bags of low grade? Yes, feasible.
ii) 1.3 bag of high grade and 11.0 bags of low grade? Yes, it's just in the interior of the feasible region.
iii) 3.8 bags of high grade and 7.8 bags of low grade? No, infeasible.
iv) 4.5 bags of high grade and no low grade? Yes, feasible. It's on a boundary of the feasible region.
v) 2.2 bags of high grade and 8.4 bags of low grade? Yes, feasible. It's on a boundary of the feasible region.

Exercise 2.

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a) 3x+5y≤35

i) x=1.4, y=5.4? Feasible
ii) x=9.5, y=1.5? Infeasible
iii) x=2.7, y=7.2? Infeasible

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b) 4x+6y≤54

i) x=1.4, y=5.4? Feasible
ii) x=9.5, y=1.5? Feasible
iii) x=2.7, y=7.2? Feasible

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