Question 3B CWD Electronics sells computers, which it orders from the USA. Because of shipping and...
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Question 3B CWD Electronics sells computers, which it orders from the USA. Because of shipping and handling costs, each order must be for 12 units. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 6 units. It costs $120 to place an order. It costs the company $75 in lost sales when a customer asks for a computer and the warehouse is out of stock. It costs $5 to keep each computer stored in the warehouse. If a customer cannot purchase a computer when it is requested, the customer will not wait until one comes in but will go to a competitor. The demand for computers and the time required to receive an order once it is placed (lead time) has the following probability distribution: Lead time (weeks) Probability Demand/ week 2 0.20 Probability 0 0.10 3 0.65 1 0.45 4 0.15 2 0.30 3 0.15 The company has 10 computers in stock. Orders are always received at the beginning of the week. Note that a lead time of 2 weeks imply that an order placed at the end of week one will arrive at the beginning of week 4. Required a) Construct the appropriate random number mappings for the random variables starting with .00. (2.5 marks for demand and 1.5 mark for lead time) b) Simulate CWD's ordering and sales policy for 15 weeks. (12 marks) c) Compute the average cost of the policy( 4 marks) demand .49 .67 .06 .30 .95 .01 .10 .70 .80 .66 .69 .76 .86 .56 .84 lead time .84 .79 .35 .56 .64 .21 Use the following headings lead- SOC OC TC Week OI URAI RN D DFEI SO order RN time IC Question 3B CWD Electronics sells computers, which it orders from the USA. Because of shipping and handling costs, each order must be for 12 units. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 6 units. It costs $120 to place an order. It costs the company $75 in lost sales when a customer asks for a computer and the warehouse is out of stock. It costs $5 to keep each computer stored in the warehouse. If a customer cannot purchase a computer when it is requested, the customer will not wait until one comes in but will go to a competitor. The demand for computers and the time required to receive an order once it is placed (lead time) has the following probability distribution: Lead time (weeks) Probability Demand/ week 2 0.20 Probability 0 0.10 3 0.65 1 0.45 4 0.15 2 0.30 3 0.15 The company has 10 computers in stock. Orders are always received at the beginning of the week. Note that a lead time of 2 weeks imply that an order placed at the end of week one will arrive at the beginning of week 4. Required a) Construct the appropriate random number mappings for the random variables starting with .00. (2.5 marks for demand and 1.5 mark for lead time) b) Simulate CWD's ordering and sales policy for 15 weeks. (12 marks) c) Compute the average cost of the policy( 4 marks) demand .49 .67 .06 .30 .95 .01 .10 .70 .80 .66 .69 .76 .86 .56 .84 lead time .84 .79 .35 .56 .64 .21 Use the following headings lead- SOC OC TC Week OI URAI RN D DFEI SO order RN time IC
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