For a particular component, X$,$ Alpha has a lot tolerance percentage defective of $35$ percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of $12$ percent for component X$.$ Alpha has a consumer's risk of $10$ percent, and Zenon has a producer's risk of $5$ percent.

When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test? Use Exhibit $10\mathrm{.}16.$ Note: if the exact value of the computed LTPD $-$: AOQ ratio does not appear in Exhibit $10\mathrm{.}16,$ use the next higher ratio.

Note: Round up your answer to the next whole number.

What is the allowable number of defects in order to accept the shipment?