$2.$ A stamping plant must supply an automotive final assembly plant with sheet metal stamp$-$ ings. The plant operates one $8-$hr shift for $250$ days$/$yr and must produce $5,000,000$ good quality stampings annually. Batch size $=8,000$ good stampings produced per batch. Scrap rate $=3\%.$ On average it takes $4\mathrm{.}0$ sec to produce each stamping when the presses are running. Before each batch, the press must be set up$,$ and that takes $2\mathrm{.}5$ hr per setup. Availability of the presses is $96\%$ during production and $100\%$ during setup. How many stamping presses will be required to accomplish the specifie production.