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Question: A manufacturing plant operates a production line that produces widgets. The line has a design capacity of 800 widgets per day and an effective capacity of 700 widgets per day due to maintenance and other routine interruptions. On average, the production line operates at an efficiency of 85%. 1. Calculate the Actual Output of the production line per day. 2. If the demand for widgets increases to 750 widgets per day, what is the utilization rate of the production line? 3. Suppose the plant wants to meet this increased demand without sacrificing efficiency. By how much should they increase their effective capacity? Provide your answers with the relevant calculations. Question: A manufacturing company is analyzing its production process to improve efficiency. They currently produce a particular item in batches. Here are the relevant details: - The annual demand for the item is 10,000 units. - The company operates 250 days a year. - Each batch produced contains 100 units. - The setup cost for each batch is $200. - The holding cost per unit per year is $5. Calculate the following: 1. The Economic Production Quantity (EPQ). 2. The total number of batches to be produced in a year. 3. The total annual cost of setup and holding for the item. Assumptions: - Production and demand are steady throughout the year. - Setup costs and holding costs are constant. This question involves understanding and applying concepts of batch production, Economic Production Quantity (EPQ), and inventory management costs. It tests the ability to perform calculations relevant to operational efficiency and cost management in manufacturing. a operations manager at ABC Manufacturing, a company that produces electronic gadgets. The company is planning to manufacture two types of gadgets: Gadget A and Gadget B. The following table provides information on the production requirements and profit margins for each type of gadget. ABC Manufacturing has a maximum of 120 production hours available this month and a material budget of $4000. Your Tasks: Calculate the maximum number of each gadget type ( A and B ) that can be produced within the given constraints (production hours and material budget). Construct a production schedule that maximizes the profit for ABC Manufacturing. Create a diagram showing the feasible production region based on the constraints. The ABC Manufacturing Company produces widgets. They are planning to evaluate their production efficiency and need to calculate the Total Manufacturing Cost and the Cost Per Unit for a specific order. Below are the details provided: 1. Direct Materials: They spent $20,000 on raw materials. 2. Direct Labor: The labor cost for the workers who were directly involved in the production was $15,000. 3. Manufacturing Overhead: The overhead costs, including utilities, depreciation of machinery, and rent for the production facility, amounted to $10,000. 4. Order Quantity: They produced 5,000 widgets for this specific order. Calculate the following: a) Total Manufacturing Cost for the order. b) Cost Per Unit for each widget. Note: Total Manufacturing Cost is the sum of Direct Materials, Direct Labor, and Manufacturing Overhead. Cost Per Unit is calculated by dividing the Total Manufacturing Cost by the number of units produced