10 5 Raw Material Capacity= units/day Information: The illustration above is an example of a produc where capacity is given for each operation in the process in boxes represent operations in the process. The letters in each names of the operations, and the numbers in each box are th capacity in units per day. In this exercise, assume that market units per day; therefore, the market is not the constraint.
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- A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine: the time it will take the team to assemble the 10th car. Create an excel spreadsheet having the following table. You must show the formula used in the excel sheets to calculate values in the columns. Plot Number of Units vs Time (in hours) and Number of Units vs Cumulative Time (in hours) in the same plot. Use different colors to distinguish the data.The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine: the time it will take the team to assemble the 10th car. Create an excel spreadsheet having the following table. You must show the formula used in the excel sheets to calculate values in the columns. Plot Number of Units vs Time (in hours) and Number of Units vs Cumulative Time (in hours) in the same plot. N (no of Units) Time to Produce Nth Cumulative Time (1 to N) 1 2 3 4 5 6 7 8 9 10
- Can you check my work and tell me why I am not getting the answer $9100? Model Inc. has to transport 100 bags of Type Abags, 100 bags of Type B bags, and 100 bagsof Type C bags. They can hire Truck and Minivans. Each truck can carry 10 bags of Type Abags, 20 bags of Type B bags, and 10 bags ofType C bags. On the other hand, each minivancan carry 20 bags of Type A bags, 5 bags ofType B bags, and 10 bags of Type C bags. Eachtruck's rental cost is $1000, and eachminivan's rental cost is $850. There are only 5truck drivers available to drive the trucks(Hint:It means the number of trucks should be lessthan or equal to 5). If Model Inc wants tominimize the transportation cost, how manytrucks and vans should they rent? (PossibleAnswer: $9100) Data A B C COST TRUCK 10 20 10 $ 1,000.00 MINIVAN 20 5 10 $ 850.00 Model…According to the XYZ Apartment Rental Company ER diagram, which of the following is true? Each building must have more than one builder Each building must have multiple apartments Each building must have at least 8 apartments Each building must have more than 2 apartments Answer: ____How much influence can the employee requirements for one, two, or three days have on the weekly schedule in the employee scheduling example? Explore this in the following questions: a. Let Monday’s requirements change from 17 to 25 in increments of 1. UseSolverTable to see how the total number of employees changes.b. Suppose the Monday and Tuesday requirements can each, independently of one another, increase from 1 to 8 in increments of 1. Use a two-way SolverTable to see how the total number of -employees changes.c. Suppose the Monday, Tuesday, and Wednesday -requirements each increase by the same amount, where this increase can be from 1 to 8 in -increments of 1. Use a one-way SolverTable to -investigate how the total number of employees changes.
- fi Auto mobile company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, then 80 per day could be painted. If the paint shop were only painting cars, then 120 per day could be painted. If the body shop were only producing cars, then it could process 100 per day. If the body shop were only producing trucks, then it could process 100 per day. Each truck contributes GHS60,000 to profit, and each car contributes GHS40,000 to profit. Use linear programming to determine a daily production schedule that will maximize the company’s profits.A bank receives loan applications from 6 customers a day. The bank has promised customers that applications will be processed in the order they are received. The table below shows the applications in the order they were received, the processing time for each loan application, and the due date that customers need to hear about their application status: Customer Processing time (days) Due date (days) A 9 13 B 11 18 C 8 11 D 7 13 E 10 22 F 12 28 a. Determine the average processing time for applications, the average days tardy for each customer's application, and the average number of applications being processed if the bank processes the applications in the order they were received. (Round your answers to 2 decimal places.) Average flow time days Average tardiness days Average number of jobs applications b. The bank decides to improve their application processing performance by giving priority to the loans that take a shorter time to be processed (SPT).…Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 7 5 2 5 5 3 5 2 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.$ _____ per minute, since the dual value is _____ on the grinder at the optimal solution.
- A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the woodcutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver. A. What is the optimal solution? B. What are the values of the slack/surplus variables at the optimal solution?How much influence can the employee requirements for one, two, or three days have on the weekly sched-ule in the employee scheduling example? Explore this in the following questions:a. Let Monday’s requirements change from 17 to 25in increments of 1. Use SolverTable to see how thetotal number of employees changes.b. Suppose the Monday and Tuesday requirementscan each, independently of one another, increasefrom 1 to 8 in increments of 1. Use a two-waySolverTable to see how the total number ofemployees changes. c. Suppose the Monday, Tuesday, and Wednes-day requirements each increase by the same amount, where this increase can be from 1 to 8in increments of 1. Use a one-way SolverTableto investigate how the total number of employeeschanges.You are the district manager for the NCDNR aka the Game Wardens. You staff your law enforcement officers such that they have a 10 hour work day in a single shift. This means that they work 4 days in a row and have 3 consecutive days off. For your district, you need to make sure that you have at least: 10 working on Saturday, 0 on Sunday, 3 on Monday, 3 on Tuesday, 5 on Wednesday, 4 on Thursday, and 8 on Friday. Your current compensation plan approved by the state is: Days off M,T,W T,W,Th W,Th,F Th,F,Sa F,Sa,Su Sa,Su,M Su,M,T Wage 3000 2900 2820 2750 2600 2700 2720 Questions: What is the objective function value? How many employees do you have? How many people show up for work on Sunday, despite this not being necessary according to the scheduling requirements?