XYZ Corporation operates two plants, each of which has a capacity of 180 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 315 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. Customer A Customer B Customer C Customer D Plant 1 15 18 10 19 Plant 2 12 16 14 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 Plant 1 Plant 2
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- 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?The following data relates to the number of passengers the Mussina border post between Zimbabwe and South Africa can process:Maximum passengers that can be processed per day based on all the equipment and personnel = 5000 trucksCurrent number of passengers being processed = 4000 passengers per dayActual number of passengers processed yesterday = 3600Calculate the current utilisation level of the border post passenger processing system A. 18% B. 50% C. 80% D. 72% E. 90%A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,respectively. The production rate of the plant for bands is 200 tons/hr, and that for coils is 140 tons/hr.Based on the market analysis, it has been identified that the weekly demand is at most 6000 tons and4000 tons for bands and coils, respectively . The plant operates for a maximum of 40 hours per week. 1. In Microsoft Excel, formulate a linear programming model instance for this problem, then solve. 2. Assume that the products need to be painted after manufacturing, and the painting departmentcan paint at a rate of 600 tons per hour for bands and 400 tons per hour for coils. The paintingdepartment works only for 20 hours. Update the linear programming model instance to accom-modate this requirement, and re-solve the problem. 3. The plant is planning to introduce another product “rods” to its production mix with the followingparameters:•Profit/ton = $40•Production volume = 150…
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