A company makes two produts A and B$,$ using a CNC milling machine which is classified as a single resource pool. The resource is available for $900$ minutes per day. The contribution margins for product A and B are $$20$ and $$35$ per unit respectively. The unit loads are $10$ and $20$ minutes per unit.

The company wishes to produce a mix of $60\%$ As and $40\%$ Bs$.$ What is the effective capacity $($units per day$)?$

A company makes two produts A and B$,$ using a CNC milling machine which is classified as a single resource pool. The resource is available for $900$ minutes per day. The contribution margins for product A and B are $$20$ and $$35$ per unit respectively. The unit loads are $10$ and $20$ minutes per unit.

The company wishes to produce a mix of $60\%$ As and $40\%$ Bs$.$ What is the effective capacity $($units per day$)?$

The unit load of the mix is $60\%*20+40\%*10=16$ minutes per unit.$$ The capacity is $900/16=56\mathrm{.}3$ units per day

The unit load of the mix is $60\%*20+40\%*35=26$ minutes per unit.$$The capacity is $900/26=34\mathrm{.}6$ units per day

The unit load of the mix is $60\%*10+40\%*20=14$ minutes per unit.$$The capacity is $900/14=64\mathrm{.}3$ units per day

The unit load of the mix is $60\%*35+40\%*20=29$ minutes per unit.$$The capacity is $900/29=31\mathrm{.}0$ units per day