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Leandrou, Yianni

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A company manufactures x units of Product A and y units of Product B$,$ on two machines, I and II$.$ The company will realize a profit of $$4\mathrm{.}50/$unit of Product A and a profit of $$4/$unit of Product B$.$ Manufacturing $1$ unit of Product A requires $6$ min on Machine I and $5$ min on Machine II$.$ Manufacturing $1$ unit of Product B requires $9$ min on Machine I and $4$ min on Machine II$.$ There are $5$ hr of time available on Machine I and $3$ hr of time available on Machine II in each work shift.

Find the range of values $($in hours$)$ that the resource associated with the time constraint on Machine I can assume.

Find the shadow price for the resource associated with the time constraint on Machine I