XYZ Corporation operates two plants, each of which has a capacity of 170 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 15 units per day while customer D has a demand of 295 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Plant 1 Plant 2 Customer A 16 19 Plant 1 Plant 2 Customer B 17 20 Customer C 12 20 Customer D 24 12 a. How many units should XYZ ship from each plant to each customer? (Leave no cells blank-be certain to enter "0" wherever required. Round your answer to the nearest whole number.) Customer A Customer B Customer C Customer D
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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.A manufacturing firm has three 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 (25) Customer 2 (50) Customer 3 (125) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
- FeVer Beverages is a typical coffee shop that operates at Batangas. Recently, the general manager is facing a challenge about not meeting their target lead time of serving the hot coffee of 15 minutes. The lead time starts from order taking until order serving. The staffing model of the shop has one cashier, one barista and a guard. The number of staff, equipment, and raw materials have been found sufficient. Based on the initial data analysis, the volume of customers has been stable. Because there is a need for the lead time to improve as to retain its customers and to even grow, a problem-solving effort has been started using the Lean Six Sigma DMAIC approach. Using the FEVER Beverages, you should create your own Project Charter and SIPOC Diagram.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 16
- 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 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 unitsSouthern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.Problem 7-37 (Algorithmic) The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce? Do not round your interim computations. If required, round your answers to the nearest whole number. Let R number of containers of…
- 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…2. Mina's Craft Shop manufactures two products in two departments. Product X1 contributes PHP60 and takes 6 hours in department 1 and 6 hours in department 2. Product X2 contributes Php140 and takes 8 hours in department 1 and 12 hours in department 2. Department 1 has a capacity of 38 hours while department 2 has a capacity of 42 hours. Indicate the maximum production level in units and the production level that maximizes contribution (in pesos), and show the peso-contribution difference between the two.