A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit. What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps.
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A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit.
What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps.
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.In a large microelectronics plant, the assembly cell for circuit boards has a demand for 250 units an hour. Two feeder cells supply parts A and B to the assembly cell (one A and one B for each board). Standard containers that look like divided trays are used. A container will hold 24 As or 10 Bs. It takes 10 minutes to fill up a container with As and 24 minutes to fill up a container with Bs. Transit time to the assembly cell is 5 minutes for both A and B. No safety factor is used. Set up a kanban control system for the assembly process.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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- You are asked to help your boss deciding who is considering whether to make or buy a part fora top most demanding product of the company.Your company can make the component for $40 per unit or buy it for $50 per unit from vendor.If the Company decides to make the component, it will require 4 hours of machine time tomake each part. The company has 2,000 hours of machine time available per month. Shouldthe company make or buy the component? How many max parts company can make?________________________________________________________________d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.. Sarah’s Organic Soap Company makes four kinds of organic liquid soap: “regular,”“lavender,” “citrus,” and “tea tree.” Demands for the four scents are 150, 120, 75, and50 kgs per hour, respectively. Sarah’s production process can produce any soap at therate of 450 kgs per hour, but 1.5 hours are needed to switch between scents. Duringthose switchover times, the process doesn’t produce any soap. Sarah wants to choosea production schedule that (i) cycles repeatedly through the four scents, (ii) meets therequired demand, and (iii) minimizes the amount of inventory held.How many kgs of “regular” should Sarah produce before switching over to another scent?