A firm wants to produce 160 units in 8 hours (28800 seconds). The task times and

Question

A firm wants to produce 160 units in 8 hours (28800 seconds). The task times and sequencing requirement are as follows: Construct the precedence diagram. Determine the cycle time in seconds. Find minimum number of stations. Assign tasks by the longest task time. Calculate the efficiency. XYZ company wishes to assign a set of jobs to a set of machines. The following table presides data as to the cost of each job when performed on a specific machine. Solve the assignment problem and find the minimizing costs. Mike Braucr uses 4.000 per year of a certain subassembly that has an annual holding cost of $0.10 per unit. Each order placed costs Mike $2.00. Mike operates 200 days per year and has found that an order must be placed with his supplier 3 working days before he can receive that order. For this subassembly, find: the economic order quantity, the average inventory level the optimal number of orders per year, the optimal number of days between 2 orders, the total annual cost (carrying cost + ordering cost). the reorder point. The historical demand for a product is: Forecast the demand in the 5th week by using a naïve approach, using a 4-wcck simple moving average, using a 4-wcck weighted moving average with weights of 0.4.0.3,0.2. and 0.1. using an exponential smoothing with a = 0.8 and the 4^th week forecast =170. finding the trend line y = a + bx. and using it to forecast.

Explanation / Answer

Job1 to Machine 1 at a cost of $ 110

Job 2 to Machine 3 at a cost of $ 103

Job 3 to Machine 2 at a cost of $ 121

Total Cost $334

The solution to the assignment is given below Machine1 Machine2 Machine 3 Supply Total Job1 1 0 0 1 1 Job2 0 0 1 1 1 Job3 0 1 0 1 1 Demand 1 1 1 Total 1 1 1 Total Cost 334 Machine1 Machine2 Machine 3 Job1 110 120 102 Job2 115 125 103 Job3 126 121 128

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