A company has manufacturing facilities at three locations (A, B, and C) and a single product is tobe shipped to 5 customers. The capacities of plants A, B, C are 100, 70, and 50 units,respectively. The firm must ship at least 60 units to customer 1 and 40 units to customer 2.Customers 3, 4, and 5 would require at least 10 units each but want to buy as many of theremaining units as possible. The net profit associated with shipping a unit from each plant toevery customer is given below:PlantAPBPlantPlantсCustomer16102Customer2789Customer385Customer6510Customer5936The company wants to know how many units to ship to each customer from plants A, B, and Cin order to maximize their profits. Formulate this as an LP problem.

Find the given details below: From/ToCustomer 1Customer 2Customer 3Customer 4Customer…

Answered: A company has manufacturing facilities…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season, trucks bring apples from the fields to the process plant during a workday that runs long hours from 7AM. On peak days, approximately 3,000 kg of apples are trucked in per hour. Trucks dump their contents in a holding bin with a storage capacity of 9,000 kg. When the bin is full, incoming trucks must wait until it has sufficient available space. A conveyor moves apples from bin to the processing plant. The plant is configured to process apples at the rate of 2,000 kg per hour. Trucks arrive uniformly between 7:00AM to 5:00PM. Each truck holds about 1,000 kg of apples. The truck drivers are paid at the rate of $10 per hour. As ABC makes fresh juice, it does not store apples. Processing plant starts at 10:00AM and ends when all the apples received during the day have been processed. It takes 2 hours to clean the empty plant that must be kept ready for the next day production. Trucks are owned…
The first station can process a unit in 10 minutes First Station capacity = 60/10 = 6 units per hour As the second station has 2 identical machines in parallel, each of which can process a unit in 12 minutes. Each unit needs to be processed on one of the two machines. Second Station Capacity = 60 x 2/12 = 10 units per hour The third station can process a unit in 8 minutes Third Station capacity = 60/8 = 7.5 units per hour What is the hourly capacity of this production line?
Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Medium Low Own staff 600 550 350 Outside vendor 900 650 450 Combination 700 600 400 a. If the demand probabilities are 0.4, 0.25, and 0.35, which decision alternative will minimize the expected cost of the data processing operation? Own Staff What is the expected annual cost associated with that recommendation? If required, round your answer to the nearest thousand of dollars. Expected annual cost = $ ___________
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