4) A factory manufactures chairs, tables and bookcases each requiring the use of three operations: Cutting, Assembly, and Finishing. The first operation can be used at most 600 hours; the second at most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, 1 hour of assembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how many units of each should be manufactured to maximize profit?

4) A factory manufactures chairs, tables and bookcases each requiring the use of three operations: Cutting, Assembly, and Finishing. The first operation can be used at most 600 hours; the second at most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, 1 hour of assembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how many units of each should be manufactured to maximize profit?

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

Chapter2: Measurement, Materials, And Safety

Section2.5: Quality Assurance, Process Planning, And Quality Control

Problem 10RQ: If an X-bar chart graph falls below the LCL or rises above the UCL, a machining process is said to...

See similar textbooks

Similar questions

If an X-bar chart graph is between LCL and the UCL, a machining process is said to be ____________.
1. A certain batch of parts is routed through six machines in a batch production plant. The setup and operation times for each machine are given in the table below. Batch size is 200 and the average nonoperation time per machine is15 hr. Determine (a) manufacturing lead time and (b) hourly production rate for operation 4.Machine 1 2 3 4 5 6Setup time (hr) 5 3 6 4 5 3Operation time (min) 3.0 3.3 8.2 3.9 4.5 2.3 a. 6(4.3+200(3.9/60)+15) = 193.8 hours 24.2 days if 8 hour shiftb. 4(60)+200(3.9)/200 =5.1 hourly production for operation 4 2. Suppose the part in the previous problem is made in very large quantities on a production line in which an automated work handling system is used to transfer parts between machines. Transfer time between stations is 30 sec. total time required to setup the entire line is 102 hr. Assume that the operation times at the individual machines remain the same as in the previous problem, Determine (a) manufacturing lead time for a part coming off the line,…
A toy factory is planning to make an additional item, which would be processed in 4 departments. The company is proposing to produce 600,000 units per year, working 250 days per year. The estimates of times made by an industrial engineer are in the table: Departments Times 1 2 3 4 Average processing time (second/part) 8 13 10 50 Average maintenance, time/day (minutes) 20 30 20 15 Average daily setup, time (minutes) 20 15 30 20 Average bookkeeping, time/day (minutes) 10 8 12 5 Machine adjustment, time/day (minutes) 15 10 15 15 Defective items, (% of production) 5 6 4 4 The parts are produced within the departments in a sequential manner (from department 1 to 2 to 3 to 4). Determine the efficiency of each departmental operation if only one shift is operated between 7:30 am-4:30 pm, with a 40 minute lunchbreak and two 10 minute coffee breaks.
Engineering design is a sequential process such that the design team will need to complete one complete cycle before revisiting the earlier step for potential revision.
A CNC milling machine has a purchase price of £120,000 and it is considered from an accounting standpoint to be depreciated to zero value over a period of 5 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/repay the costs over the 5 year period? To make the calculation simpler, you can assume that over the 5 year period you will be required to pay back 8% interest on the sum borrowed. Express your answer in § / hour rounded up to the nearest penny
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?
A drug store sells 30 bottles of antibiotics per week.Each time it orders antibiotics, there is a fixed ordering costof $10 and a cost of $10/bottle. Assume that the annualholding cost is 20% of the cost of a bottle of antibiotics, andsuppose antibiotics spoil and cannot be sold if they spendmore than one week in inventory. When the drug store placesan order, how many bottles of antibiotics should be ordered?
A company uses various machines in the preparation of ice cream. The firm has been successful until recently when it noticed growing repair expenses for the various machines it uses. Over the past 20 months, the machines have broken down at the rate indicated in the following table: Each time a machine breaksdown, the company estimates that it loses an average of US$300 in production time and service expenses. Should the company opt to purchase a service contract for preventive maintenance by Angeles Machineries Inc., (AMI) there will still be breakdowns, averaging one breakdown per month. The price for this service by AMI is US$150 per month. a. If the company continues as is, what is the expected no. of breakdowns based on past history? b. What will be the cost of breakdowns per month to the company without a preventive maintenance contract? c. What will be the cost of breakdowns per month to the company with a preventive maintenance contract? d. Should they engage the…
If a firm is a price taker, then its marginal revenue will always equal total cost. zero. price. one.
1. Discuss the concept of Quality
A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer. Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.) Shipping Costs ($/unit) Factory/Capacity Customer 1 Customer 2 Customer 3 A/100 units 11 5 9 B/180 units 8 7 8 C/130 units 12 7 10 Requirement— 205 units Requirement— 68 units Requirement— 137 units What is the total cost of meeting customer requirements each day?
The M–N plant manufactures two different products: M and N. Selling prices and weeklymarket demands are shown in the following diagram. Each product uses raw materialswith costs as shown. The plant has three different machines: A, B, and C. Each performsdifferent tasks and can work on only one unit of material at a time.Process times for each task are shown in the diagram. Each machine is available2,400 minutes per week. There are no “Murphys” (major opportunities for the system tofoul up). Setup and transfer times are zero. Demand is constant.Operating expenses (including labor) total a constant $12,000 per week. Raw materialsare not included in weekly operating expenses.a. Where is the constraint in this plant?b. What product mix provides the highest proi t?c. What is the maximum weekly proi t this plant can earn?