Write the Liner programming model used for scheduling the following project. 2 3 5 3 1 4 4 6 5 2 3
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- A bill of quantity of a project includes 500m2 of masonry work. The work will be done by one crew with a production rate of 50 m2/day and consists of: Crew member No Price rate Brick layer 2 50$/day Assistant 1 25 Labor 2 12 Vendor price of 1000 bricks = 160$. Each 55 bricks are estimated to make one square meter of masonry. Each one cubic meter of mortar is used to join brick area of 50 m2 and consists of: Quantity Material Primary quotation form vendor One cubic meter Sand 15$/m3 6 sacks (50 kg each) Cement 240$/ton As a contractor, it is required to estimate the work unit price and the work price. Assume all material waste as 10% and assume overheads and markup as 20% of total cost. (WRITE THE ANSWER ONLY)Silver Star Bicycle Company will be manufacturing both men’s and women’s models of its Easy-Pedal bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men’s and 125 women’s models to be shipped during the first month and 200 men’s and 150 women’s models to be shipped during the second month. Additional data are shown: Model Production Costs Current Inventory Men’s $120 20 Women’s 90 30 The company charges monthly inventory at the rate of 2% of the production cost based on the inventory levels at the end of the month. The company would like to have at least 25 units of each model in inventory at the end of the two months. Formulate this problem as a linear programming model so that a production schedule can be established in order to minimize production and inventory costs and satisfies the labor-smoothing,…Consider a project with seven tasks. Three tasks – tasks 3, 4, and 5 – require a specific resource for completion; all needed resources must be available at the site before a task can be started. Task Duration Predecessor (s) Units of Value of Resource Completed Task Needed 3 3 10 $4000 3 1 10 S3000 3 12 $5000 1 4 7 2, 5,6 Each resource unit cost $100; no quantity discounts are available. In addition, it costs $2 per unit per time period to hold this resource in stock, and it costs $45 just to place an order for materials (independent of the number of units ordered). When should each task in the project be started and when and how many resources should be ordered to minimize total project costs? 1. 1, en en 1. 2. en
- Tabard Industries forecasted the following demand for one of its most profitable products for the next 8 weeks: 120, 120, 120, 100, 100, 100, 80, and 80 units. The booked customer orders for this product, starting in week 1 are: 100, 80, 60, 40, 10, 10, 0, and 0 units. The current on-hand inventory is 150 units, the order quantity is 200 units, and the lead time is one week.a. Develop a MPS for this product.b. The marketing department revised its forecast. Starting with week 1, the new forecasts are: 120, 120, 120, 150, 150, 150, 100, and 100 units. Assuming that the prospective MPS you developed in part (a) does not change, prepare a revised MPS record. Comment on the situation that Tabard now faces.c. Returning to the original forecasted demand level and the MPS record you developed in part (a), assume that marketing accepted a new customer order for 200 units in week 2, and thereby booked orders in week 2 is now 280 units. Assuming that the prospective MPS you developed in part (a)…A large St. Louis feed mill, Robert Orwig Processing,prepares its 6-month aggregate plan by forecasting demand for50-pound bags of cattle feed as follows: Ja nuary, 1,000 bags;February, I ,200; March, I ,250; April, 1,450; May, I ,400; and June,I ,400. The feed mill plans to begin the new year with no inventoryleft over from the previous year, and backorders a re not permitted.It projects that capacity (during regular hours) for p roducingbags of feed will remain constant at 800 until the end of April, andthen increase to 1,100 bags per month when a planned expansionis completed on May I. Overtime capacity is set at 300 bags permonth until the expansion, at which time it will increase to 400bags per month. A friendly competitor in Sioux City, Iowa, is a lsoavailable as a backup source to meet demand but can provideonly 500 bags total during the 6-month period. Develop a 6-monthproduction plan for the feed mill using the transportation method.The City of Rockland is planning to build a new fire station. A project manager and the project team have been selected. The project team is interested in selecting a project scheduling technique that will be used to complete the project. The criteria for the process of selecting the project scheduling technique has been established as follows: easy to use, and shows the following – task durations, milestones, flow of work, sequence of events, which tasks can be undertaken at the same time, and how far tasks are from completion. The City Manager favors the Gantt chart, the Fire Chief likes Program Evaluation and Review Technique (PERT), and the project manager prefers the Critical Path Method (CPM). Assume you are the project manager; which project scheduling technique would you choose? Discuss the rationale for your decision.
- MMS Associates is a telecommunications service provider.Th e company is currently redesigning its main offi ce toaccommodate six newly hired salespeople. Some of the salespeopleare expected to work in teams, so offi ce assignments are veryimportant. Table 10-15 presents the from–to matrix showing theexpected frequency of contacts between members of the new salesstaff . Th e block plan in Figure 10-17 shows the assigned offi celocations for the six sales members. Assume equal-sized offi cesand rectilinear distances. How would you evaluate the developedlayout? What is the ld score for MMS Associates?The Monroe Logistics Company would like to schedule its drivers to minimize the number of drivers used to cover the requirements over all seven days of the week. The company has 6 cabs but needs all six of them on duty only on Fridays. The estimated requirements are as follows: Day Mon Tue Wed Thu Fri Sat Sun Requirements 6 4 4 4 6 3 3 Prepare a schedule that minimizes the total number of drivers needed and minimizes the amount of slack capacity. In case of ties for assignment, it is preferred to give weekend days off. Identify the slack capacity for each day of the week. In addition, please identify the number of people working less than full-time (i, e., working less than five days a week. This is employee scheduling program. No employee can be off on Friday and please do not change the requirement in the question. Thank you.The Monroe Logistics Company would like to schedule its drivers to minimize the number of drivers used to cover the requirements over all seven days of the week. The company has 6 cabs but needs all six of them on duty only on Fridays. The estimated requirements are as follows: Day Mon Tue Wed Thu Fri Sat Sun Requirements 6 4 4 4 6 3 3 Prepare a schedule that minimizes the total number of drivers needed and minimizes the amount of slack capacity. In case of ties for assignment, it is preferred to give weekend days off. Identify the slack capacity for each day of the week. In addition, please identify the number of people working less than full-time (i, e., working less than five days a week. This is employee scheduling problem.
- Based on past experience, Moss Company has developed the following budget formula for estimating its shipping expenses: Shipping costs = $21,000 + ($0.40 × pounds shipped). The company's shipments average 13 pounds per shipment. The planned activity and actual activity regarding orders and shipments for the current month are given in the following schedule: Plan Actual Sales orders 900 880 Shipments 900 920 Units shipped 9,000 10,000 Sales $ 130,000 $ 154,000 Total pounds shipped 10,600 13,300 The actual shipping costs for the month amounted to $26,000. The appropriate monthly flexible budget allowance for shipping costs for the purpose of performance evaluation would be:A B C D F G H M N O P Raptor Consulting has three (3) projects to complete this year. They have four (4) project teams currently available. Each project team can at most do one project. Based on the mix of skills and experience on each of the teams, Raptor has developed the following estimates on time taken by each team (in days) to 2 complete each proiect. 3 4 5 6 7 8 9 10 Determine the optimal assignment of teams to projects in order minimize the total days taken to complete all the projects. 11 12 Please answer items A-E below 13 A. Formulate the problem as an assignment problem. Use worksheet tab "Q2 SS Model" to develop your formulation. 14 Use worksheet tab "Q2 SS Model" to develop your formulation 15 16 B. Solve the problem using Excel Solver. 17 Use worksheet tab "Q2 SS Model" Teams Project Team 1 Team 2 Project A 50 30 Project B 35 28 Project C 33 37 Ready Title Q1 E Accessibility: Investigate Team 3 Team 4 55 27 25 35 30 23 18 19 C. What is the optimal assignment of teams to…Prepare a Master Production Schedule (MPS) for an Agri-Chemical company in Malawi given the following information: The forecast for each week of an eight-week schedule is 50 units. The MPS rule is to schedule production if the projected on-hand inventory would be negative without it. Customer orders (committed) are as follows:Week Customer Orders1 522 353 204 12Use a production lot size of 75 units and no beginning inventory.