In the formulation, how many constraints (i.e., constraint equations) are there and which involves two variables? How many objective functions are there? A manufacturing firm produces two components for electric scooters. An axle requires 2.4 min of molding time and5.0 min of assembly time. The profit for axles is $0.60 per unit. A single handlebar grip requires 3.0 min of moldingtime and 2.5 min of finishing time. The profit for grips is $0.70 per unit. The molding department has 1,200 minutesof time per week to allocate to these products. The finishing department has idle capacity of 600 minutes per week,and the assembly department can supply 1,500 minutes of capacity per week. The firm wants to determine theoptimum production amounts of axles and grips this week using a linear programming method.

To determine the optimum production amounts of axles and grips, we can set up a linear programming…

Answered: In the formulation, how many…

In the formulation, how many constraints (i.e., constraint equations) are there and which involves two variables? How many objective functions are there?

Precision Machining Technology (MindTap Course List)

2nd Edition

ISBN:9781285444543

Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Chapter1: Introduction To Machining

Section1.3: Workplace Skills

Problem 13RQ: Briefly describe a portfolio and give an example of what it might contain.

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A CNC milling machine has a purchase price of £100,000 and it is considered from an accounting standpoint to be depreciated to zero value over a period of 6 years. If the machine is to be used for 2 shifts with each shift working for 37 hours/week and 45 weeks/ year. What is the machine cost/ hr which must be charged in order to amortise the costs over the 6 year period? Express your answer in £/ hour but just write the numerical answer rounded up to the nearest penny. To make the calculation simpler ignore the effects of compound interest, you can assume that over the 6 year period you will be required to pay back borrowed money for the machine purchase amounting to 6% interest on the sum borrowed.
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A flow shop consists of 3-Machines on which 4-Jobs have to be scheduled in a fixed sequence. The process times of the four jobs are given in the table below. In this table Pij, P2j and p3j indicate the process time of the jth job on Machine-1, Machine-2 and Machine-3 respectively. Work out a near-optimum schedule of processing the jobs for heuristically minimizing the Makespan using Palmer's Method. Job (j) J1 J2 J3 J4 4 8 4 2 2i P3j 4 Calculate the following: (i) The Minimum and the Maximum Processing Times on the 3-machine and hence conclude whether the machines satisfy the Johnson's criteria for 3- machines. (ii) (ii) Calculate the Directed Graph and Gant Chart; Hence calculate the value of Makespan, Cmax. (iv) Calculate the slope-index and hence decide the heuristic schedule; SO53 5M56
It takes an operator 2 min to service a machine and 0.5 min to walk to the next machine. Each machine runs automatically for 3 min, the operator earns $12/h and the machine costs $25/h to run. What is the total expected cost per unit of production if 2 machines are assigned to the operator? $37 $77.5 $1.29 $62 $1.03
The Old Hickory Furniture Company manufactures chairs on the basis of the BOM shown below. At the present time, the inventories of parts and lead times are as follows:The firm would like to produce 600 chairs in week 5 and 300 chairs in week 6. a. Develop a materials plan for all the parts. b. What actions should be taken now? c. Assume it takes one hour to assemble backs, one hour to assemble legs, and two hours to finish completed chairs. Total assembly time for all three types of assembly is limited to 1000 hours per week. Will this capacity constraint cause a bottleneck in assembly? I it does, what can be done? d. What is the effect of changing the master schedule to 300 chairs in week 5 and 400 chairs in week 6?
A company is about to begin production of a new product. The manager of the department thatwill produce one of the components for the product wants to know how often the machine usedto produce the item will be available for other work. The machine will produce the item at a rateof 200 units a day. Eighty units will be used daily in assembling the final product. Assembly willtake place five days a week, 50 weeks a year. The manager estimates that it will take almost a fullday to get the machine ready for a production run, at a cost of $300. Inventory holding costs willbe $10 a year.a. What run quantity should be used to minimize total annual costs?b. How many days does it take to produce the optimal run quantity?c. What is the average amount of inventory?d. If the manager wants to run another job between runs of this item, and needs a minimum of 10days per cycle for the other work, will there be enough time?e. Given your answer to part d, the manager wants to explore options that will…
The MPS start quantities for product A calls for the assembly department to begin final assembly accordingto the following schedule: 100 units in week 2; 200 units in week 4; 120 units in week 6; 180 units in week 7;and 60 units in week 8. Develop a material requirements plan for the next 8 weeks for items B, C, and D.The BOM for A is shown in Figure 11.26, and data from the inventory records are shown in Table 11.4.
10. 6, The Simple Simon Bakery produces fruit pies for freezing and subsequent sale. The bakery, which operates 5 days per week, 52 weeks per year, can produce pies at the rate of 64 pies per day. The bakery sets up the pie production operation and produces until a predetermined number (Q) of pies has been produced. When not producing pies, the bakery uses its personnel and facilities for producing other bakery items. The setup cost for a production run of fruit pies is $500. The cost of holding frozen pies in storage is $5 per pie per year. The annual demand for frozen fruit pies, which is constant over time, is 5,000 pies. Determine the following. a. The optimal production run quantity (Q) (Ans; Q=1195.6) b. The total annual inventory costs (Ans; TC= $4181.86) c. The optimal number of production runs per year (Ans; 4.18 production runs) d. The optimal cycle time (time between run starts) (Ans; 62.2 working days) e. The run length, in working days (Ans: 18.68 working days)
An order for a metal fabrication requires production processes from two departments as follows: 1. Laser cutting 2. Folding/bending and welding The laser cutting is costed on a machine hour rate basis and has already been determined to be f£2500 for this order. Determine the total cost of this fabrication given the following information The bending and welding department requires 30 hours of labour costed at £15 per hour The folding/bending and welding department has an annual overhead of £216k to absorb The total annual labour hours for this department are 3600 hours (overheads are absorbed on this basis) The direct cost of materials for this fabrication is £800. What is the total production cost of this order? O£4750 O£5100 O ES550 £3050 £219.759 Previous Page Page 17 of 20 Next Page 36°C 2020
A company makes two kinds of door Knobs, standard and deluxe ,the making process cost the company 15$ for the standard and 20$ for the deluxe by making on a grinder and a smoother machines, which they can be run for at most 80 hours a week, each standard one needs 2 hours on the grinder, and 4 hours on the smoother, and each deluxe one needs 4 hours on the grinder and 3 hours on the smoother ,the company sales at 25$,35$ for the standard and the deluxe respectively. To have the profit it wants the company decide to make at least 15 knobs from them at a week, formulate the linear programming model?