Question 1 (1 point) ABC Limited produces a copper component. The weekly output is 3000 units, sold at a price of $10 each. Four workers are employed 5 days a week for 8 hours a day to produce these components and are paid at the rate of $18 per hour. The raw material used to produce each component is 1 kg of copper wire purchased from two suppliers at a price of $5 per Kg. The equipment used to process the copper wire consumes 3000 KWH of electricity each week at a cost of $1 per KWH. What is the weekly materials productivity of this operation? a) 1.66 Ob) 0.5 Od 2 d) 0.6 Question 2 (1 point) What is the weekly total productivity of ABC Limited referred to in question 1? a) 1.43 Ob) 1678 Od 1.666 d) 0,696 Question 3 (1 point) ABC Limited referred to in question 1. has been offered by one of its supellers an alternative copper wire at a price of $530 per ke This variety of copper wire has the a specification but additionally will reduce the electricity cost of the quent used by 14 Question 3 (1 point) ABC Limited referred to in question 1, has been offered by one of its suppliers an alternative copper wire at a price of $5.30 per Kg. This variety of copper wire has the same specifications but additionally will reduce the electricity consumption of the equipment used by 50%. Explain why you would accept or reject this offer. a) Reject the offer because the material productivity will decrease. b) Reject the offer because the total productivity will decrease. Oc) Accept the offer because the total productivity will increase. d) Accept the offer because the materials productivity will increase. Question 4 (1 point) A delivery unit receives items for despatch at a rate of 8 per hour. It takes on average 6 minutes to despatch an item. Assume Poisson arrivals and exponential service patterns. What is the average arrival rate of items for despatch? Ob) 8 c) 10 d) 7.5 Question 5 (1 point Referring to the delivery unit of question 4. what is the average despatch rate? 1A Question 5 (1 point) Referring to the delivery unit of question 4, what is the average despatch rate? a) 10 b) 8 Odo d) 7.5 Question 6 (1 point) Referring to the delivery unit of question 4, what is the average queue length of items arriving for despatch? a) 3.2 b) 6 Od 10 d) 7.5 30 Question 7 (1 point) Referring to the delivery unit of question 4, for how many minutes would items remain on average in the delivery unit, waiting in a queue or being processed for despatch? 33 a) 15 OD 10 d 30 TI 14 s W Question 8 (1 point) Referring to the delivery unit of question 4, what is the probability that there are no items waiting in a queue or being processed for despatch? a) 0.8 Ob) 0.2 12 O004 d) 0.6 15 Question 9 (1 point) Referring to the delivery unit of question 4. what is the probability that exactly 2 items will be waiting in a queue or would be in the process of being despatched? 21 O a) 0.152 24 Ob) 0.5 O 0429 20 Od 0.128 30 2 33 Question 10 (1 point) Referring to the delivery unit of question 4, the setting up of another identical delivery unit so as to improve the despatch service is being considered. What would then be the improved average queue length? 5 0.1280 38 Ob) 0.952 41 42 O 0.152 Od 0.42 49 Question 11 (1 point) Referring to the delivery unit of questions 4 and 10, what would be the average number of items that would be waiting in a queue or being processed for despatch? Question 11 (1 point) Referring to the delivery unit of questions 4 and 10, what would be the average number of items that would then be waiting in a queue or being processed for despatch? a) 0.128 Ob) 0.152 Od 0.119 Od) 0.952 1 18 Question 12 (1 point) Referring to the delivery unit of question 4 and 10, how many minutes would an item be then waiting in a queue or being processed for despatch? X1 a) 3.2 Ob) 7.14 Od 0.152 Od 0.119 18 Question 13 (1 point) Referring to the delivery unit of question 4 and the proposal to set up another identical unit in question 10, based on your previous calculations, would you as a manager responsible for controlling the cost of running such delivery units and the efficiency of the delivery process. Implement the proposal to set up another identical unit? 39 a) No, because the reduced waiting time reduces the costs of the customer not my costs 1 42 Ob No, because the costs will be doubled with an additional delivery unit. d Yes, because the waiting time is reduced with two dellvery units d) No, because the average queue length with are delivery unit is not high Question 14 (1 point) ABC Limited has an annual demand for 150.000 kg of copper wire which they