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Please do last question Class Example: Problem 1.4 A machine tool is used to mac

ID: 2073808 • Letter: P

Question

Please do last question Class Example: Problem 1.4 A machine tool is used to machine parts in batches. In one batch of interest, the starting piece casting that costs = $5.00 each. Batch quantity 40. The actual machining time in the operation is 6.86 min. Time to load and unload each workpiece 2.0 min. Cost of the cutting tool $3.00 and each tool must be changed every 10 pieces. Tool change time 1.5 min. Setup time for the batch = 1.75 hr. Hourly wage rate of the operator = $16.00/hr, and the applicable labor overhead rte-50%. Hourly equipment cost rate = $22.00/hr, which includes overhead. Assume ilability = 100% and scrap rate-0. Determine (a) the cycle time for the piece, (b) average hourly production rate when setup time is figured in, and (c) cost per piece. Homework Problem1 mping press produces sheet-metal stampings in batches. The press is operated by a worker whose labor rate-$15.00/hr and applicable labor overhead rate-42%. Cost rate of the press $22.50/hr and applicable equipment overhead rate-20%. In one job of interest, batch size-400 tampings, and the time to set up the die in the press takes 75 min. The die cost $40,000 and is expected to last for 200,000 stampings. Each cycle in the operation, the starting blanks of sheet metal are manually loaded into the press, which takes 42 sec. The actual press stroke takes only 8 ec. Unloading the stamping from the press takes 13 sec. Cost of the starting blanks S0.23/pc. day. Assume availability = 100% and scrap rte = 0, Determine (a) cycle time production rate with and without setup time included, and (c) cost per stamping produced e press operates 250 days per year, 7.5 hours per day, but the operator is paid for 8 hours per , (b) average Homework Problem 2 Each cycle, part handlingti is notool ch complete the batch. work part costs $2.00 in a batch production operation. Batch quantity 100 parts me 0.40 min, and operation time 1.52 min. Setup time 50 min st rate = $30.00/hr, and labor cost rate = $18.00/hr, including overhead costs. There ange or tool cost in the operation. The machine tool is 100% reliable, and scrap rates emine (a) production rate, (b) finished part cost, and (e) number of hours required to

Explanation / Answer

Ans-a
Scrap rate is 2%
Starting Quantity of parts,Q=100/0.98=102.04(approx 103 parts)

T1=Part handling time + operation time
= 0.4 + 1.52 = 1.92 min/part

Determining batch time, including set up time

T2= 50 + 103(1.92) =247.76 min/batch =4.13 hr

Average production rate of parts, Rp =100/4.13 = 24.21 parts/hr
Average production rate of acceptable parts, Rp= 24.21(1-0.02) = 23.73 parts/hr

Ans-b
determining part cost,
batch cost, Cb = 103(2.00) + (30+18)4.13 = $404.24/batch

Cpc =part cost = 404.24/100 = $4.04/parts

Average calculation of Cpc:
Cpc =Average initial cost + average set up time cost + average part handling and operation time cost
Cpc = 2.00/0.98 + ((30+18)/60)(50/100) + ((30+18)/60)(1.92/0.98) =$4.008/part

Ans-c
time to complete the batch is T2 =4.13 hr