Production EngineeringPlease show all work 2-A high-speed steel tool is used to turn a steel workpart that is 500 mm long and 80 mm in diameter. The parameters in the Taylor equation are: n = 0.16 and C = 100 (m/min) for a feed of 0.35 mm/rev. The operator and machine tool rate = $50.00/hr and the tooling cost per cutting edge = $7.00. It takes 4.0 min to load and unload the workpart and 3.50 min to change tools. Determine (a) cutting speed for maximum production rate (b) tool life in min of cutting and (c) cycle time and cost per unit of product. Please use Excel spreadsheet for solving the problem and send the soft copy of the Excel sheet. 3- In a turning operation on alloy steel with hardness = 325 HB cutting speed = 200 m/min feed = 0.3 mm/rev and depth of cut = 8 mm. Suppose that 20 horsepower machine is used for this purpose. Is theoperation feasible? If not what would you suggest to do? Assume that the lathe draw in performing this operation has mechanical efficiency = 92.5% 4- The workpart in a turning operation is 88 min in diameter and 400 mm long. A feed of 0.25 mm/rev is used in this operation. Suppose that the dry machining is performed for cutting the parts. If cutting speed is 4 m/s the tool should be changed in every 3 workparts but if the cutting speed is 3 m/sec the tool can be used to produce 20 pieces between the tool changes. 5- A 4.50-in-thick slab that is 9 in wide and 24 in long is to be reduced in a single pass in a two‑high rolling mill. The roll rotates at a speed of 6 rev/min and has a radius of 17.0 in. The work material has a strength coefficient = 30000 lb/in2 and a strain hardening exponent = 0.15. Assuming maximum draft is achieved determine (a) roll force (b) roll torque and (c) power required to accomplish this operation. 6- A direct extrusion operation produces the cross section shown in Figure (d) from an aluminum billet whose diameter = 150 mm and length = 900 mm. The flow curve parameters for the aluminum are K = 240 MPa and n = 0.16. In the Johnson strain equation a = 0.8 and b = 1.5. Determine (a) the extrusion ratio (b) the shape factor (c) the force required to drive the ram forward during extrusion at the point in the process when the billet length remaining in the container = 850 mm and (d) the length of the extruded section at the end of the operation if the volume of the butt left in the container is 600000 7-A hot upset forging operation is performed in an open die. The starting workpart has a diameter = 25 mm and height = 50 mm. The part is upset to an average diameter = 30 mm. The work metal at this elevated temperature yields at 100 MPa (n = 0). Coefficient of friction at the die‑work interface = 0.35. Determine (a) final height of the part and (b) maximum force in the operation.