$\mathrm{.}1$ A simple production line consists of $5$ parallel assembly tools that take individual

components and assemble them in a final product. Products assembled need to be tested

before they exit the line and ship.

a$.$ If the line needs to run at $1000$ units$/$wk capacity at $60\%$ OEE, what would be the

required cycle time for these assembly tools and how many parallel testers are needed

if each tester takes $20$ minutes per unit. Assume $24/7$ operations, assembly yield of $98\%,$

and tester yield of $99\mathrm{.}3\%.$