A product on the market has a demand of 350,000 units. Each unit requires 5 steps to build. The scrap estimates for each of the required processes is as follows:
P1 = 0.01
P2 = 0.12
P3 = 0.03
P4 = 0.17
P5 = 0.04
Calculate the input required to meet the demand. For which process the largest input is required, what is that input?
In this question proces are step by step so output unites of each process will become input unites of next process.
Mrket demand 350,000 units is the output of process P5
Process Output(unit) Scrap rate Input(unit)
P5 350,000.00 (0.04) 364,583.33
P4 364,583.33 (0.17) 439,257.02
P3 439,257.02 (0.03) 452,842.29
P2 452,842.29 (0.12) 514,593.51
P1 514,593.51 (0.01) 519,791.43
Input required to meet the demand = 519,791.43 units
Largest input is required for process P1
Working
calculation of input units
P5 350,000.00/0.96 = 364,458.33
P4 364,458.83/0.83 = 439,257.02
P3 439,257.02/0.97 = 452,842.296
P2 452,842.26/0.88 = 514,593.518
P1 514,593.51/0.99 = 519,791.43
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