Can this be solved without a graph? If so how? Midtown Manufacturing Company makes trash cans and plastic buckets, both ofwhich requires labor hours along with time on two machines. Producing a unit oftrash cans requires 50 hours of labor, 5 hours on Machine A, and 10 hours onMachine B, while producing a unit of buckets requires 20 hours of labor, 8 hours onMachine A, and 2 hours on Machine B. The Company has available 2000 laborhours, 560 hours for Machine A, and 350 hours for Machine B. Each unit of trashcans brings in $20 in profit for the company and each unit of buckets brings in $3 inprofit. Be sure to write out the system of inequalities expressing these conditionsand graph the feasible region. Find the profit maximizing combinations of trash cansand buckets this company can and should produce.

The question of optimization can be solved using the graphical method, simplex method, and using…

Answered: Midtown Manufacturing Company makes…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy.
Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy. b.) Compute the costs of the Level Strategy c.) Compare the costs of the two strategies. Which one is superior?
A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
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Abbott Manufacturing produces plastic cases for solar photovoltaic panels and has decided to combine orders from customers to increase work order size, and thereby, make one large production run per model type. Plastic injection molding machines are used to make these parts, and it is time consuming to clean and re-setup the machines between production runs. Each molding machine and operator works one 10-hour shift with a one-hour lunch break and one-half hour for operator breaks. Consolidated Work Orders Model XVT-5 Case Model UYT-3 Case Model KLY-6 Case Work Order Quantity 9,600 panels 7,900 12,000 Setup (Changeover) Time per Work Order (minutes) 98 160 What is the total workload (demand) in hours for this work order mix? Round your answer to one decimal place. The total workload is hours. How many machines will it take to do this work in one, two, or three days? Round your answers up to the nearest whole number. To do this work in 1 day they need machine(s). machine(s). To do this…
There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
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. Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum that is used to make a single housing. A computer numerically controlled (CNC) machine drills into the block to make the metal “frame” of the housing. Each block requires 15 minutes of drilling. The frame is then chemically treated in a series of baths. There is ample capacity in the treating stage. Finally, a worker must manually attach the various buttons and components to the metal housing. This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30-minute setup time before the production of a batch can begin. a. If the CNC machine produces 14 housings between setups, what would be its capacity (in housings per hour)? b. Assuming the process is supply-constrained, what is the utilization (as a number between 0 and 1) of the CNC machine if it operates in batches of 14 housings? c. Assuming…
A company manufactures clay bricks in batches. A batch consists of 200 bricks. The manager reports that his weekly production target is 1500 bricks. Each brick has to be processed through 5 machines on average. It takes on average 30 minutes to set up the machines and the average operation time is 6 minutes. There are 10 machines in the plant. Calculate the manufacturing lead time if the average non-operation time is 2 hrs. Calculate the production rate and If the plant operates 70 hours per week, calculate the production capacity Calculate the Production Capacity if the machines are only available for 85% of the time. Will the manager be able to meet his production target? Justify your answer.
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