Determine the best assignment of jobs to. What is the resulting total production of the assignment?
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operations research -linear programming problem -assignment
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- The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required Department A B с (hours/unit) Product 1 Product 2 Hours Available Production 1.00 0.30 Profit contribution/unit $30.00 0.20 38.27 0.35 0.20 0.50 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 69.77 M 95 72.09 38 50 (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? Dept A What is the upper limit of what…3 = noito This work cell will produce 617 units per day (8h x 60 m x 60 se) / 46.67 = 617 Takt time = 140/3 = 46.67 Copyright © 2017 Pearson Education, Ltd. Takt time design Creating plate printing cutting packaging Example: 100 Al-Nojoom Company for advertising has identified the following operations as necessary for the work cell for producing color posters. The customer expects delivery 1000 poster per day, and the work day 10 hours. 1. What is the takt time? Copyright © 2017 Pearson Education, Ltd. 2. How many employees are required? 3. If the number of employees assumed to be 9 employees. Find the quantity of products they able to produce. 4. If the work cell has 4 employees find the Total work time by hours needed to produce 600 units with the same operational time. operation Standard time 21.01 unitnos (min) 1.1 0.9 .75 1.25 1 9-33 sill nG a super 9-34Assume that General Dynamics, which manufactures high-technology instruments for spacecraft, is considering the sale of a navigational unit to a government agency in India that wishes to launch its own communications satellite. The government agency plans to purchase 8 units, although it would also consider buying 16 units. General Dynamics has started a chart relating labor time required to units produced. Unit Produced (X) Time Required toProduce the Xth Unit 1 10,000 hours 2 8,000 hours 4 6,400 hours 8 ? 16 ? Required: a. Compute the labor time required to produce 8 and 16 units.b. Assume that labor time costs $125 per hour. Compare the cost of producing the 1st unit to the cost of producing the 16th unit. What is the percentage of the cost of the 16th unit to the cost of the 1st unit?
- A company makes two products (1 and 2). Each product requires time on two machines A and B. The specifications for each product are as follows; Product 1 Product 2 Processing time on machine A (hrs/unit) 2 2 Processing time on machine B (hrs/unit) 1 2 Material and labor cost (Sh./unit) 14 15 Selling price (Sh./unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total…7-383 A plant manager needs a design for an assembly line to assembly a new product that is being introduced. The time requirements and immediate predecessors for the work elements are as follows: Work Element Time (sec) Immediate Predecessor A 12 – B 60 A C 36 – D 24 – E 38 C, D F 72 B, E G 14 – H 72 – I 35 G, H J 60 I K 12 F, J Total = 435 1.If the desired output rate is 30 units per hour, what are the cycle time and theoretical minimum? 2.Suppose that we are fortunate enough to find a solution with just four stations. What is the idle time per unit, efficiency, and the balance delay for this solution?RASM is defined as Revenue per Available Seat Mile and is a common metric to understand flight performance across different routes. Based on the chart below, what would you expect to see in March on a YoY basis? 20 18 16 14 12 10 8 6 4 2 0 Jan-18 Feb-18 Mar-18 Apr-18 May-18 a) Weaker performance YoY b) Stronger performance YoY c) Identical performance YoY d) There are no indicators of performance Jun-18 RASM Jul-18 Aug-18 Sep-18 Oct-18 Nov-18 Dec-18 Jan-19 Feb-19
- Labour Intensity (manhour/unit) Planned production (units) Product A 1,500 15 2.000 C 4.500 D 2.000 16 500 Calculate manpower needs A manufacturing company plans following production and labour intensity of their products for the next year:The company expect to meet the performance standard at 100 %. In average there are annually 20 days of vacation, 7 days of sickness, and 4 day of other absence. The manufacture works in two-shifts with 7.75 working hours per shift. Annually there are 252 working days. 1. Calculate the need of workers to cover the production. The answer is:21. Given the following list of machines, the standard deviation for their output, and specification half-width for the job that may be processed on that machine, using C determine which machines are capable of performing the given jobs. LO3 Machine 001 002 003 004 005 Standard Deviation (cm) 0.02 0.04 0.10 0.05 0.01 Job Half-Width Specification (6 cm) 0.05 0.07 0.18 0.15 0.04A company is setting up an assembly line to produce 90 units per hour. The table below identifies the work elements, times, and immediate predecessors. Work Element Time (Sec.) Immediate Predecessor(s) A 25 - B 18 A C 20 A D 5 B, C E 12 C F 8 E G 16 D, F H 12 G Use one of the heuristic decision rules described in Table below to balance the assembly line so that it will produce 90 units per hour. Clearly state the decision rule you use and complete the below table using the selected rule. Decision Rule Logic Longest work element Picking the candidate with the longest time to complete is an effort to fit in the most difficult elements first, leaving the ones with short times to “fill out” the station. Shortest work element This rule is the opposite of the longest work element rule because it gives preference in workstation assignments to those work elements that are quicker. It can be tried…
- 1. A company wishes to estimate the profit from two new products. The estimated cost of producing the first product is €3 per unit and it is expected to sell for €5 per unit while the second product costs €5 per unit and is expected to sell for €8 per unit. The first product takes 1 hour of packaging time per day while the second one takes 2 hours of packaging time per day. The time taken for delivery of the first product is 2 hours while the second takes just 1 hour to deliver. The total time available in the packaging and delivery sections is 6 and 8 hours per day respectively. (a) Formulate the linear programming problem. (b) Solve the problem to find the optimum solution. Clearly label and show the feasible solution space on your diagram. (c) Over what range can the coefficient for the first product vary in the objective function before the current solution is no longer optimal? (d) Over what range can the coefficient for the second product vary in the objective function before…INAL SINAVI 17 - - is a parametric analysis method which allows obtaining the capacity curve from a dynamic analysis. This procedure offers to investigate, by scaling the induced base acceleration, a continuous picture of the structural behavior from elastic to yield range and eventually to collapse. Time-history representation of ground motions Hysteretic models for components behavior a) b) Time-history analysis d) Incremental dynamic analysis Boş bırak 17/20 Sonraki> Карat KÖncekiWeighted-Average Method Arsenio Company manufactures a single product that goes throughtwo processes, mixing and cooking. The following data pertain to the mixing department for August:[LO 6-2, 6-5][LO 6-2, 6-3, 6-4]Work-in-Process Inventory, August 1Conversion: 80% complete 34,000 unitsWork-in-Process Inventory, August 31Conversion: 50% complete 30,000 unitsUnits started 66,000Units completed and transferred out ?CostsWork-in-Process Inventory, August 1Material X $ 64,800Material Y 88,100Conversion 119,880Costs added during AugustMaterial X 152,700Material Y 135,900Conversion 305,120Material X is added at the beginning of work in the mixing department. Material Y is also added in themixing department, but not until units are 60% complete with regard to conversion. Conversion costs areincurred uniformly during the process. The company uses the weighted-average cost method.Required1. Calculate the equivalent units of material X, material Y, and conversion for the mixing department.2.…