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- Currently they have 5 refrigerated trucks and planning to expand as market for their services ison the rise. The fixed cost of their operations is $1,200,000 per year covering managerial,administrative, insurance, and other related expenses at their headquarters. Every truck hasapproximately $100,000 annual expense for lease, maintenance, and insurance. The variablecost of operation for each truck is $3.50 per mile covering fuel and truck driver’s pay. Themaximum mileage capacity of each truck is 200,000 miles per year and current demand is1,000,000 miles per year. The company charges $10.00 per mile for a fully loaded truckshipment. Construct an Excel cross tabulation table to find profit for this company using 6 to 14trucks and mileage demand of 1,000,000, 1,500,000, 2,000,000, 2,500,000, 3,000,000, and3,500,000 miles per year. Based on the table find the optimal number of trucks needed for abovelisted mileage demands.Bob Carlton’s golf camp estimates the following staff requirements for its services over the next 2 years.Quarter 1 2 3 4Demand (hours) 4,200 6,400 3,000 4,800Quarter 5 6 7 8Demand (hours) 4,400 6,240 3,600 4,800Each certified instructor puts in 480 hours per quarter regular time and can work an additional 120 hours overtime. Regular-time wages and benefits cost Carlton $7,200 per employee per quarter for regular time worked up to 480 hours, with an overtime cost of $20 per hour. Unused regular time for certified instructors is paid at $15 per hour. There is nocost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $10,000. Layoff costs are $4,000 per employee. Currently, eight employees work in this capacity.a. Find a staffing plan using the level…Wallace Heating is attempting to estimate its costs of manufacturing heating ducts for the comingyear using the high-low method. The cost driver is number of labor hours. Wallace determines thatthe high and low costs are $25,830 and $18,414, respectively, and the values for the cost driver are3,495 and 1,958 hours, respectively. What is the variable cost per hour?
- A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many arcs will the network have?Northwest Pipe (NP) makes water pipe. NP is planningproduction for the next seven months, March through September.Th e forecast demands (in thousands of feet) are, respectively, 40,60, 70, 80, 90, 100, and 80. NP can make 75,000 feet of pipe permonth using regular-time production, at a cost of $1.25 per foot.Th ey can make up to an additional 15,000 feet using overtimeproduction at a cost of $1.50 per foot. Any pipe made in onemonth and sold in a later month incurs an inventory holding costof $0.15 per foot, per month. NP expects to end February with5000 feet of pipe and would like to plan to end September with10,000 feet in inventory. NP would like to plan their productionschedule to minimize total cost during the next seven months. (a) Formulate an LP to minimize total costs.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolutionSupertronics, Inc., would like to know how the firm’s profit-ability is altered by product mix. Currently, product mix isdetermined by giving priority to the product with the highestper-unit contribution margin (defined as the difference be-tween price and material cost). Details on the Supertronicsproduct line, including processing time at each workstation,follow:a. Assume that Supertronics has 5,500 minutes of capacityavailable at each workstation each week. Develop a linearprogram to define the production mix that maximizescontribution margin.b. Solve your formulation using a computer package such asPOM for Windows. c. Given your solution for part (b), which machine is thebottleneck?d. How would your formulation and solution in part(b) change if 50 units of each product were alreadycommitted to customers and thereby had to beproduced?
- The Johnny Ho Manufacturing Company inColumbus, Ohio, is putting out four new electronic components. Each of Ho’s four plants has the capacity to add one more prod-uct to its current line of electronic parts. The unit-manufacturing costs for producing the different parts at the four plants areshown in the accompanying table. How should Ho assign the newproducts to the plants to minimize manufacturing costs?ELECTRONICCOMPONENT PLANT123 4C53 $0.10 $0.12 $0.13 $0.11C81 0.05 0.06 0.04 0.08D5 0.32 0.40 0.31 0.30D44 0.17 0.14 0.19 0.15A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?Lusail Food aims to produce (30,000) units next year. After studying the time, it turned out that each unit needs: Productive work of four hours per unit (job as a production worker) Marketing work of two hours per unit (Job: Marketing Officer) Administrative work of three hours per unit (Job: Administrative)? Currently working in the company: 14 production workers, 6 marketing staff, and 12 administrators. If you know that the average number of annual working hours available is 2500 hours. What is required is to determine the size of the workforce required for the coming year using workload analysis. Number of production units: Unit Next year Function Required working hours / one unit Annual working hours available to the employee next year Required working hours for next year Required workforce for next year Current number of employees For the current year Surplus or deficit In the workforce Next year Production Factor…
- Based on the following sensitivity report, how much should the firm be willing to pay for 53 more units of Resource_C? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 80 $H$10 Resource_B 525 0 800 1E+30 270 $H$11 Resource_C 700 1.11 700 180 75 (Round your answer to 2 decimal places.) Units of resources CA1 Credit provides credit information to its customersthroughout the country, 24 hours per day. Credit representativesanswer customer calls and provide information. Based on demandpatterns, the estimated number of representatives needed duringfour-hour time periods of each day are shown in the table. Employees work shift s of eight consecutive hours, and shift scan start at the beginning of any of the six periods shown inthe table. Assume this schedule will be repeated day aft er day,so that someone starting at 8 pm will contribute to the need forrepresentatives in the midnight–4 am time period. Th e supervisorhas been instructed to schedule employees so that all demandscan be met with a minimum possible number of employees.(a) Formulate an LP to minimize the number of representativesneeded.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution.Foodie Goodie is a small food processing plant. It produces three kinds of snacks: sunflower seeds, peanuts and broad beans. The plant’s production capacity is as follows: • if all the equipment produces sunflower seeds, it can produce 6 kg a day; • if all the equipment produces peanuts, it can produce 5 kg a day; • if all the equipment produces broad beans, it can produce 3 kg a day. Production is planned on a weekly basis (i.e., 5 working days), and the output of the week must be stored before delivery. It takes • 1.8 litres of space to store 1 kg of sunflower seeds; • 1.9 litres of space to store 1 kg of peanuts; • 1.3 litres of space to store 1 kg of broad beans. The total storage space available is 100 litres. Due to a commercial agreement with a restaurant, Foodie Goodie must deliver at least 5 kg of broad beans every week. The marketing department estimates that the weekly demand for sunflower seeds, peanuts and broad beans does not exceed 11 kg, 15 kg and 8 kg, respectively, so…