Part C It is often desirable to know not only the unit time of the Nth work unit, as in the example above, but also the total cumulative time for all N work units. For example, this information might be useful in bidding on a batch of N work units for a prospective customer. With the Crawford model, this can be determined exactly by the following summing procedure: TT, EX-1 im where TTy = total cumulative time for N work units, i = an intermediate variable for the summing procedure Using the approximation equation E(TT) = 1. (N + 0.5)M+1 (0.5)m+1 m +1 where E(TTN) = the estimated value of TTy. Determine the cumulative total time to complete the xx work units in Part A using : (a) The exact equation. and (b) The approximation equation above. The Student Ahmad Kurdi should use N=32 The Student Khaled Sultan should use N=26 Part B (Bonus Question) A wage incentive plan pays workers a daily wage at a rate of $ 12.00/hr multiplied by the number of standard hours accomplished during the shift. One worker-machine task in the plant includes worker-paced elements totaling a normal time of 1.00 min and machine-paced elements with a time of 4.00 min. The PFD allowance is 13%. Determine the standard time for the task given that: There are three tools with three different designs to assemble caps with pilfer and liner. Compare the three designs. Add your assumptions. And start to calculate productivity for each design separately. Assume that those are three machines. Allow machine setup (as time to prepare caps and pilfer and liner before pressing them as machine setup). Please try to use all what you have learned and apply all descriptive statistics measurements and produce Excel sheet as you learned during this semester. (a) Am = 0 (3 Marks) and (b) Am = 30%. (3Marks) (c) What does a worker earn for the day under each policy if he or she produces 135 parts that day? (2 Marks) (d) Write your comments : Which is Fair? etc..... (2 Mark) Part C It is often desirable to know not only the unit time of the Nth work unit, as in the example above, but also the total cumulative time for all N work units. For example, this information might be useful in bidding on a batch of N work units for a prospective customer. With the Crawford model, this can be determined exactly by the following summing procedure: TT, EX-1 im where TTy = total cumulative time for N work units, i = an intermediate variable for the summing procedure Using the approximation equation E(TT) = 1. (N + 0.5)M+1 (0.5)m+1 m +1 where E(TTN) = the estimated value of TTy. Determine the cumulative total time to complete the xx work units in Part A using : (a) The exact equation. and (b) The approximation equation above. The Student Ahmad Kurdi should use N=32 The Student Khaled Sultan should use N=26 Part B (Bonus Question) A wage incentive plan pays workers a daily wage at a rate of $ 12.00/hr multiplied by the number of standard hours accomplished during the shift. One worker-machine task in the plant includes worker-paced elements totaling a normal time of 1.00 min and machine-paced elements with a time of 4.00 min. The PFD allowance is 13%. Determine the standard time for the task given that: There are three tools with three different designs to assemble caps with pilfer and liner. Compare the three designs. Add your assumptions. And start to calculate productivity for each design separately. Assume that those are three machines. Allow machine setup (as time to prepare caps and pilfer and liner before pressing them as machine setup). Please try to use all what you have learned and apply all descriptive statistics measurements and produce Excel sheet as you learned during this semester. (a) Am = 0 (3 Marks) and (b) Am = 30%. (3Marks) (c) What does a worker earn for the day under each policy if he or she produces 135 parts that day? (2 Marks) (d) Write your comments : Which is Fair? etc..... (2 Mark)