Devin wants to determine the mix of spare parts to produce in order to maximize total profit. Use the Excel Solver to solve the model by the Simplex Method!
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Devin is the
| PART | |||
| Machine | A | B | C |
| 1 | 0.02 | 0.03 | 0.05 |
| 2 | 0.05 | 0.02 | 0.04 |
Each machine is available 40 hours per month. Each part manufactured will yield a unit profit as follows:
A B C
PROFIT $300 $250 $200
Devin wants to determine the mix of spare parts to produce in order to maximize total profit.
Use the Excel Solver to solve the model by the Simplex Method!
Step by step
Solved in 4 steps with 6 images
- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows: Process 1 Production rate Daily production time Process 2 35 parts/hour 4 hours/day 20% 15 parts/hour 7 hours/day 9% Percent parts rejected Assume that the daily demand for hubs allows all defect-free hubs to be sold. Select the process that maximizes profit per day if each part is made from $4 worth of material and can be sold for $30. Both processes are fully automated, and variable overhead cost is charged at the rate of $40 per hour.Jefferson Company's demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. 4,900 minutes 7,000 minutes 3.8 units per minute 4.0 units per minute 15,827 units 18,620 units Actual run time this week Machine time available per week Actual run rate this week Ideal run rate Defect-free output this week Total output this week (including defects) Required: 1. Compute the utilization rate. (Round your answer to 2 decimal places.) 2. Compute the efficiency rate. (Round your answer to 2 decimal places.) 3. Compute the quality rate. (Round your answer to 2 decimal places.) 4. Compute the overall equipment effectiveness (OEE). (Do not round intermediate calculations. Round your final answer to 3 decimal places.) Utilization rate Efficiency rate Quality rate Overall equipment effectiveness
- A recurring maintenance job in a factory is being done by a three-man crew. Due to the nature of the job and space limitations, it was observed that two of the men were idle 37% of the time; one of the men was also idle an additional of the time, and at any given time only one man was required. The men were each paid P24.00 per hour. Each time the job was performed a set of tools and equipment with a value equivalent to P36.00 per hour was used. If the three-men crew could complete the work in 5 hours, which crew size would be the most economicalSturgill Manufacturing Inc. needs to predict the numbers of machines and employees required to produce its planned production for the coming year. The plant runs three shifts continuously during the workweek, for a total of 120 hours of capacity per week. The shop efficiency (the percent of total time available for production), which accounts for setups, changeovers, and maintenance, averages 70% with a standard deviation of 5%, which reduces the weekly capacity. Six key parts are produced, and the plant has three different types of machines to produce each part. The machines are not interchangeable as they each have a specific function. The time to produce each part on each machine varies. The mean time and standard deviation (in hours) to produce each part on each machine are shown below: Mean Time Part Type Machine A Machine B Machine C 1 3.5 2.6 8.9 2 3.4 2.5 8 3 1.8 3.5 12.6 4 2.4 5.8 12.5 5 4.2 4.3 28 6…XYZ Leather Company manufactures and sells two products, wallets and belts, in its two-department plant. Operating data pertaining to the two products are as follows: Wallets Belts Selling price per unit P30 P50 Cost per unit: Variable manufacturing costs P8 P15 Variable marketing costs P2 P3 Fixed manufacturing costs P5 P5 Fixed marketing costs P6 P1 Cutting Finishing…
- Jefferson Company’s demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. Actual run time this week 6,106 minutes Machine time available per week 8,600 minutes Actual run rate this week 4.32 units per minute Ideal run rate 6.00 units per minute Defect-free output this week 11,315 units Total output this week (including defects) 15,500 units 1. Compute the utilization rate.2. Compute the efficiency rate. 3. Compute the quality rate. 4. Compute the overall equipment effectiveness (OEE).Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. In design capacity it is assume that the company will produce in best and ideal condition to produce goods and services while in Effective capacity it is assume that company will produce in current operating conditions. In design capacity it is assume that the company have unlimited resource's. It means these resource's include:- Men,…Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. Question Why is the capacity design important?
- Casting molds are produced by MYMOLD company. Each order has unique specifications, depending on customer needs. MYMOLD has received an order of two molds from a customer. The agreed selling price of the molds is 5000TL per mold. According to the agreement, for a defective mold the customer will pay 1000TL instead of the standard price. The customer will not buy any more than two molds and there is a 2000 TL fine for not meeting the demand with two non-defective molds. The excess molds can be salvaged for 500 TL per piece. The cost of production per mold is 2000TL and the probability of producing a non-defective mold is 0.8. Assume that MYMOLD decided to produce two molds, and the first production has been succesfull (a non-defective mold is produced). What is the expected profit given the result of the first production?Kilmer Company's customer demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units: Actual run tine this week Machine time available per week Actual run rate this week Ideal run rate Defect-free output this week Total output this week (including defects) 1-a. Utilization rate 1-b. Efficiency rate. 1-c. Quality rate 1-d. Overall equipment effectiveness 2-a. Utilization loss in units 12,800 minutes 16,000 minutes. 2-b. Efficiency loss in units 2-c. Quality loss in units 6.30 units per minute. 9 units per minute. Required: 1. and 2. With respect to the company's overall equipment effectiveness, calculate the following: Note: Do not round intermediate calculations. Round final answers to 2 decimal places and "Units" answers to the nearest whole number. 72,576 units 80,640 unitsWhich one of the following is a variable to be considered when calculatingproduction lot size? a forecasted demandb customer orderc the lower of customer orders and forecasted demandd the higher of customer orders and forecasted demand