A manufacturing plant operates two production lines, each with different capabilities. Production Line A can produce 100 units of a product per hour, while Production Line B produces 150 units per hour. The plant operates for 8 hours a day. Due to a surge in demand, the plant manager decides to increase the operating hours of Production Line A by 50% and Production Line B by 25% for a temporary period. Calculate the following: 1. The total number of units produced by each production line before the increase in operating hours. 2. The new total number of units produced by each production line after the increase in operating hours. 3. The overall percentage increase in production capacity for the plant as a result of these changes. A manufacturing company produces a specific type of electronic component. The annual demar for this component is estimated to be 10,000 units. The cost to set up the production process for each batch is $500, and the holding cost per unit per year is $2. The company can produce 100 units per day, and the business operates 250 days a year. Calculate the following: 1. Economic Order Quantity (EOQ) 2. Total number of orders per year 3. Cycle time between orders 4. Total annual cost of the inventory policy Assume a constant demand rate and use the EOQ model for your calculations. Note: This question involves concepts like Economic Order Quantity (EOQ), inventory management, and cost calculations, which are vital in operations management. To solve it, you would typically use the EOQ formula and other related inventory management formulas. 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. Question: A manufacturing plant produces two types of products: Product A and Product B. The production process for each product has different requirements in terms of labor hours and machine hours, which are critical resources in the plant. The details are as follows: - Product A requires 2 labor hours and 3 machine hours per unit. - Product B requires 3 labor hours and 2 machine hours per unit. In a typical week, the plant has a total of 600 labor hours and 500 machine hours available. The profit per unit for Product A is $20, and for Product B is $30. Task: Calculate the following: 1. What is the maximum number of units of Product A and Product B that the plant can produce in a week without exceeding the available labor and machine hours? 2. If the plant aims to maximize profits, how many units of each product should it produce? Assume the plant must produce whole units of products and can sell every unit it produces. Provide your answers along with the method you used for calculation. This question requires the application of linear programming concepts to optimize production and profit, which is a key aspect of operations management. Question: Production Efficiency Analysis A manufacturing unit produces three types of products: A,B, and C. The following table shows the number of hours required to produce each type of product and the total number of hours available in a week. Calculate the total number of each product that can be produced in a week if the unit operates at maximum capacity. Tasks: Calculate the maximum number of units for each product type that can be produced in a week. Determine the total production hours utilized for each product type. What percentage of the total available hours is used for each product type