Kelly Foods has two plants and ships canned vegetables to customers in four cities. Thn cost of shipping one case from a plant to a customer is given in the accompanying table. The plant in Akron has a capacity of 3,500 ca and the Evansville plant can produce 4,200 cases per week. Customer orders for the noxt week are as follows Chicago 1.100 cases. Cincinnati 1,900 cases; Indianapolis. 2,400 cases, Pittsburgh. 1,500 cases. Find the mi shipping plan. A Click here to view the cost of shipping data Complete the table below to indicate the number of cases sent from each plant to each customer to minimize the cost, and then give the total cost (Type integers or decimals Do not round.) Plant/Customer Chicago Cincinnati Indianapolis Pittsburgh Akron Cost of Shipping Data - X Evansville Total cost = $ PlantiCustomer Chicago Cincinnati Indianapolis Pittsburgh Akron $1.73 $2 45 $1 69 $2 32 $2. 16 S2 92 Evansville $1.92 $2 35
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.The Ace Manufacturing Company has orders for three similar products. Product A Min B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A B B Ic C Product 1 12 3 Orders (units) 1,900 500 1,100 Capacity (units) 1,300 1,600 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 (a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. i Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected 16,000 17,000 10,000 12,000 18,000 24,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…
- Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 30 percent capacity cushion is best. Time Standard Demand Forecast Setup (hr/lot) Lot Size Processing (hr/unit) Component Pessimistic Expected Optimistic (units/lot) A 0.05 1.0 50 16,000 16,000 27,000 В 0.30 4.6 80 11,000 12,000 17,000 C 0.05 8.3 100 16,000 23,000 35,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up…Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. D Demand Forecast Component A B C Time Standard Processing Setup (hr/unit) (hr/lot) 0.04 1.0 0.20 4.4 0.05 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected Optimistic Pessimistic 16,000 10,000 18,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…The Ace Manufacturing Company has orders for three similar products. Product Min A s.t. B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A LB B Ic C Product 4 2 3 Orders (units) Machine 1 Capacity Product A Orders Machine 2 Capacity Product B Orders Machine 3 Capacity Product C Orders 1,800 X20 for all i, j. 700 1,100 Capacity (units) 1,400 (a) Develop the linear programming formulation of this problem. (Let x₁ be the number of units of product A produced by XA1 machine 1, x,, be the number of units of product i produced by machine j, etc.) 1,500 1,000 1 Machine $1.00 $1.30 $1.10 2 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 3 (b) Solve the transportation model for the…
- ) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?A machine shop is tasked with processing five different products in four workstations, and operates 40 hours per week. Part-mix ratios, batch quantities, part routings, machines, servers, and production times are given in the table below for the five part styles produced in the shop. Part production times include an allowance for setup time that is based on the batch quantity for each part style. Production records indicate that the average nonproductive time associated with each operation is 10 hrs. Operation sequence for each part style is in the order of station number. Part styles are identified by letter and stations are identified by number. Determine the average lead time for all four part styles (hours, 2 decimal points). Part style (j) A B D Part mix ( p;) 0.25 0.20 0.10 0.20 0.25 Batch quantity ( Qb) 25 19 19 20 27 Stations (i) Servers ( s;) ТрА (hr) Трв (hr) Трс (hr) Tро (hr) ТРЕ (hr) 1 1 0.27 0.36 0.14 0.17 2 1 0.46 0.45 0.26 0.11 3 1 0.44 0.17 0.17 0.25 4 1 0.28 0.13 0.26…A large business process outsourcing company operates 5 days a week (Monday to Friday). The manager estimates that the minimum number of agents requires, a combined on-site and work-from-home (WFH) setup, to provide prompt service: 20 for Monday, 18 for Tuesday, 23 for Wednesday, 28 for Thursday, and 32 for Friday. Labor rules state that each agent must work for 3 days a week on-site. and 2 days in WFH setup. For example. an agent who works on-site Monday to Wednesday must be on WFH setup during Thursday and Friday. Also. the company wants at least 60% of the workforce daily to report on-site. Formulate the appropriate LP model for this problem to minimize the number of agents to be hired.
- 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?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 supply nodes are present in this problem? Multiple Choice: 4 3 1 8 16A 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 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the optimal quantity to ship from Factory B to Customer 3? Multiple Choice 25 units 50 units 75 units 100 units 125 units