In a slab milling operation, a cutter of $$75$$ $$mm$$ diameter with sufficient width is used to remove $$5$$ $$mm$$ thick material from a $$200$$ $$mm$$ long part in a single pass. The minimum length of travel, in $$mm,$$ for the cutter to engage and completely cut the part surface is ______________.

In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefined standard plans is known as

Match the linear transformation matrices listed in the first column to their interpretations in the second column.

In a Flexible manufacturing system, the Automated Guided Vehicles $$(AGV)$$ move at a speed of $$50$$ $$m/min,$$ cover an average distance of $$150$$ $$m$$ to deliver and $$100$$ $$m$$ for return. If the time required for pick-up and drop is $$30$$ $$s$$ each, neglecting idle times, then the number of $$AGV$$$$s$$ required to meet the demand of $$50$$ delivers per hour is ____________.