in a mass production of machining the cutting speeds are 100,200, 300 ft./minute and the corresponding production rates (P) are 8,12 and 10 parts per hour respectively. Calculate the best cutting speed and the corresponding maximum number of parts per hour

The best production speed = 300ft/minute

18000/10 = 1800ft/part hr

Explanation:

Cut Speed A = 100ft/minute

Cut speed B = 200ft/minute

Cut speed C = 300ft/minute

Since 60 minutes = 1 hour

Machine works for one hour

Total length with cut for speed A = 60 * 100 = 6000ft

Total length with cut speed B = 200 * 60 = 12000ft

Total length with cut speed C = 300 * 60 = 18000ft

Number of 8 part in length A = 6000/8 = 750ft/part hr

Number of 12 parts in length B = 12000/12 = 1000ft/part hr

Number of 10 parts in length C =

18000/10 = 1800ft/part hr