You are required to advise the firm as to how many chairs and/or how many Tables should it produce so that it can maximize total contribution.
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![A firm makes two types of furniture; chair and tables. The contribution from
each product as calculated by the accounting department is OMR 10 per chair and
OMR 20 per table. Both products are processed on two machine M1and M2 .The
time required by each product and the total time available per week on each
machine are as follows:
Мachine
Number
of
hours Number
of
Number
of
hours required hours available
for each Table
required for each chair
М1
12
11
16
M2
15
14
30
You are required to advise the firm as to how many chairs and/or how many
Tables should it produce so that it can maximize total contribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d9af711-7a0b-4779-9cc1-79c3ba1d344e%2F0002884a-0c60-4ad7-bcb5-480df50bed1c%2Fspc1b2_processed.png&w=3840&q=75)
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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. High carbon steel or alloy steel can be used for the set of tools on a lathe The tools must be sharpened periodically. Data for each are as follows High carbon steel 60 pcs 4 hours Alloy stee! 70 pcs 6 hours Output per hour Time between tool grinds Time required to change 1 hour tools The wage of the lathe operator is Php50 per hour, based on actual working hours. The total changer costs Php60 per hour Overhead costs for the lathe are Php15 per hour, includng tool-change time A set of unsharpened alloy steel costs Php880 and can be ground five times. What type of steel shoukd be used? I hourIIn a job shop, effective capacity is only 69 percent of design capacity, and actual output is 76 percent of effective output. What design capacity would be needed to achieve an actual output of 13 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs =Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Blank 2 Add your answer Add your answer
- 2 3. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the gool of the maintenance deportment to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective moaintenance. How many hours each month are spent performing corrective maintenance if they achieve their 90% utilization and correct/preventive mix targets?9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) A 2000 500 1200 B C Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect per- centages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Сараcity (units) Product Machine Machine A в C 1500 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 1 1500 1000 3 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. 123Consider a law firm with 15 lawyers and 3 paralegals. The firm is struggling to keep up with the high demand for its services, particularly during the busy litigation seasons. It has been observed that the lawyers spend a significant amount of their time on administrative tasks that could potentially be handled by paralegals. After a careful study of the work distribution within the firm, it was determined that 35% of the activities carried out by the lawyers are administrative in nature. Given that each lawyer works 50 hours a week, please determine: (a) How many additional paralegals should the firm hire to handle the administrative tasks currently performed by the lawyers? (b) If the lawyers' time spent on administrative tasks is redirected to billable legal work, by what percentage could the firm potentially increase its billable hours?
- A manager must decide which type of machine to buy, A, B, or C. Machines costs are as follows: Machine Cost A $40,000 B $30,000 C $80,000 Product forecast, processing times on the machines, and setup times are as follows: Processing Time Per Unit (minutes) Product Annual Demand A B C Setup Times (minutes) Production Lots (units) 1 16,000 3 4 2 20 200 2 12,000 4 5 3 35 100 3 6,000 5 6 3 60 50 4 30,000 2 4 1 15 500 Machines operate 10 hours a day, 250 days a year. The manager wants to have a capacity cushion of 10%. a. Assume that only purchasing costs are being considered. Which machines would have the lowest total cost, and how many of that machines would be needed? b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $11 each, B machines have an hourly operating cost of $10 each, and C machines have an hourly operating cost of $12 each. Which alternative would…Tax Prep Advisers, Inc., has forecasted the following staffingrequirements for tax preparation associates over the next12 months. Management would like three alternative staffingplans to be developed. The company currently has 10 associates. No more than 10new hires can be accommodated in any month because oflimited training facilities. No backorders are allowed, andovertime cannot exceed 25 percent of regular-time capacityon any month. There is no cost for unused overtime capac-ity. Regular-time wages are $1,500 per month, and overtimewages are 150 percent of regular-time wages. Undertime ispaid at the same rate as regular time. The hiring cost is $2,500per person, and the layoff cost is $2.000 per person.a. Prepare a staffing plan utilizing a level workforce strategy,minimizing undertime. The plan may call for a one-timeadjustment of the workforce before month 1.b. Using a chase strategy, prepare a plan that is consistent withthe constraint on hiring and minimizes use of overtime.c.…here is the question
- er A product line includes 8 different product styles, each consisting of 93 components. Assume that 9 processing operations are needed to produce each component on average with each operation taking an average 1.2 min, which includes setup time and part handling time. All operations need a production machine, and currently 25 machines are dedicated to this task. The plant operates 52 hours per week, 52 weeks a year. Determine the yearly production of each style in units (round downward). 63 504lly utilised and there is surplus hours ly hours are surplus in machine centre Z? 21. A manufacturer of baby dolls makes three types of dolls: Doll A, Doll B and Doll C. Processing of these dolls is done on three machines, M¡, M2 and M3. Doll A requires two hours on machine M¡ and three hours on machine M3. Doll B requires three hours on machine M1, two hours on machine M, and two hours on machine M3, while doll C requires five hours on machine M, and four hours on machine M3. There are eight hours of time per day available on machine M1, ten hours of time available ou machine M, and 15 hours of time per day available on machine M3. The profit gained from doll A b 73 per doll, from doll B is { 5 per doll and from doll C is 4 per doll. What should be the daily production of each type of dolls? Which machine(s) would be idle according to this plan? By how much? 2. A company manufactures two products, A and B. Product 4 vigli product B{ 40 per unit towards nrofito the comingHand written solutions are strictly prohibited
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