Find the optimal solution by simplex me
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two basic types of lawn mowers; a push
type and a self-propelled model. The push type require 9 minutes to assemble and 2 minutes to
package; the self-propelled mover requires 12 minute to assemble and 6 minutes to package.
Each type has an engine. The company has 12hrs of assembly time available, 75 engines, and
5hrs of packing time profits are Birr 70 for the self-propelled model and br 45 for the push type
mower per unit.
Require
b. Find the optimal solution by simplex me
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- An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? 5 containers. (Enter your response rounded up to the next whole number.) b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.)An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? containers. (Enter your response rounded up to the next whole number.)In a large microelectronics plant, the assembly cell for circuitboards has a demand for 200 units an hour. Two feeder cellssupply parts A and B to the assembly cell (one A and one Bfor each board). Standard containers that look like dividedtrays are used. A container will hold 20 As or 10 Bs. It takes10 minutes to fill up a container with As and 20 minutes tofill up a container with Bs. Transit time to the assembly cell is5 minutes for both A and B. No safety factor is used. Set up akanban control system for the assembly process.
- LENILOVESBATO Co. produces various types of floor rugs with many different designs. They typically produce at least 200 rugs with a single machine setup. A cost incurred each time a new rug design is developed is called a(n) a. Unit-level cost b. Batch-level cost c. Product-level cost d. Facility-level costTwo models of controlling boards. The 1" type has high specification for work from the 2nd type. The better type has a profit of 50S and the other 40$ per board. The 1 type of boards requiring five as much as the 2nd needs for production and the total production are 2000 boards, the first model requires 400 min to be complete and 700 min to the second model. Write this expression with LP equations to have the maximum profit with production of each model.The Goodparts Company produces a component that is subsequently used in the aerospace industry. The component consists of three parts (A, B, and C) that are purchased from outside and cost 35, 30, and 10 cents per piece, respectively. Parts A and B are assembled first on assembly line 1, which produces 185 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are, in total, six drilling machines, but at present only three of them are operational. Each drilling machine drills part C at a rate of 80 parts per hour. In the final assembly, the output from assembly line 1 is assembled with the drilled part C. The final assembly line produces at a rate of 205 components per hour. At present, components are produced eight hours a day and five days a week. Management believes that if the need arises, it can add a second shift of eight hours for the assembly lines. The cost of assembly labor is 30 cents per part for…
- Bhojraj Fabricators Inc. machines metal parts for the automotive industry. Under the traditional manufacturing approach, the parts are machined through two processes: milling and finishing. Parts are produced in batch sizes of 30 parts. A part requires 7 minutes in milling and 9 minutes in finishing. The move time between the two operations for a complete batch is 4 minutes. Under the lean philosophy, the part is produced in a cell that includes both the milling and finishing operations. The operating time is unchanged; however, the batch size is reduced to 2 parts and the move time is eliminated. Determine the value-added, non-value-added, and total lead times, and the value-added ratio under the traditional and lean manufacturing methods. If required, round percentages to one decimal place. Line Item Description Traditional Philosophy Lean Manufacturing Philosophy Value-added time Non-value-added time Total lead time Value-added ratio (as a percent)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…A company produces a line of golf putters composed of three models. The demandfor model A is 500 per month, for B is 400, and for C is 300. What would be themixed-model sequence if some of each were made each day?
- Atlanta Manufacturing Company produces products W, X, Y, and Z through a joint process. The joint costs amount to $250,000. Product Units Produced Sales Value at Split-Off Additional Costs of Processing Sales Value After Processing W 750 $10,000 $2,500 $15,000 X 1,500 $30,000 $3,000 $35,000 Y 1,000 $20,000 $4,000 $25,000 Z 1,500 $40,000 $6,000 $45,000 If W is processed further, profits of W will: 1) Increase by $2,500 2) Increase by $12,500 3) Decrease by $23,000 4) Increase by $5,000An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 775 jit-togethers. The container for gadjits holds 85 units. The policy variable for center 1 is set at 0.08. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 55 units, and the policy variable for center 2 is 0.05. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.23 day. a. How many containers are needed for gadjits? b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.) containers. (Enter your response rounded up to the next whole number.)Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…