System description and analysis: $(60$ points$)$

i$.$ Demand $=60,000$ products per year, factory works $50$ wks

per yr

ii$.$ Factory shifts $=2-10-6$

iii. Mfg cycle time data $($all in hours$)$: $=18\mathrm{.}8,15\mathrm{.}7,2\mathrm{.}6,17\mathrm{.}6,$

$53\mathrm{.}8,21\mathrm{.}5,21\mathrm{.}4,23\mathrm{.}6,19\mathrm{.}4,20\mathrm{.}6,21\mathrm{.}0,18\mathrm{.}5,2\mathrm{.}5,20\mathrm{.}4,$

$18\mathrm{.}8,54\mathrm{.}3,19\mathrm{.}6,18\mathrm{.}9,23\mathrm{.}0,21\mathrm{.}3,23\mathrm{.}8$

$$ use formula for calculating cycle time found in lecture

notes $($eliminates both tails$)$

iv$.100\%$ internal to factory site, no transportation loop

Calculate:

$$ Takt in minutes $(15$ pts$)$

$$ mfg cycle time $(15$ pts$)$

$$ WIP quantity in system $(20$ pts$)$

$$ number of pull cards $(10$ pts$)$

$$ assume product is the size of a soccer ball and weighs $8$

pounds

$2)$ Draw up an example kanban card for this system $(10$ poi