Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:   Department Product 1 Product 2 Product 3 A 1.50 3.00 2.00 B 2.00 1.00 2.50 C 0.25 0.25 0.25   During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $28 for product 2, and $30 for product 3.   (a) Formulate a linear programming model for maximizing total profit contribution.   If the constant is "1" it must be entered in the box. If required, round your answers to two decimal places.   Let Pi = units of product i produced   Max $ P1 + $ P2 + $ P3     s.t.                   P1 + P2 + P3       P1 + P2 + P3       P1 + P2 + P3     P1, P2, P3 ≥ 0 and integer         (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution?     Product 1 Product 2 Product 3 Amount to Produce         Profit $ (c) After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $550 for product 1, $400 for product 2, and $600 for product 3. If the solution developed in part (b) is to be used, what is the total profit contribution after taking into account the setup costs?   $

The MacJunkin Company manufactures transmission parts. The current process uses 20 workers and produces 400 units per hour. You are considering changing the process with new manufacturing methods that increase output to 470 units per hour but will require 22 workers. Workers are paid at a rate of​ $15 per​ hour, and overhead is charged at​ 140% (or 1.4​ times) labor costs. Finished switches sell for​ $80/unit. The details are as​ follows:     Current Process New Process Output​ (Units/Hour) 400 470 Number of Workers 20 22 Material​ (Cost/Hour) ​$120 ​$150 These are the correct answers can you show me how to get these answers? A. What is the multifactor productivity ratio for the current​ process? 38.10       B. What is the multifactor productivity ratio for the new​ process? 39.92 Your answer is correct.

A company is about to begin production of a new product. The manager of a department that is asked to produce one of the components wants to know if there is enough machine time available. The machine will produce the item at a rate of 220 units a day. Eighty-five units will be used daily in assembling the final product. The company operates five days a week, 50 weeks a year. The manager estimates that it will take almost a full day to get the machine ready for a production run, at a cost of $250. Inventory holding cost will be $8 per unit per year.   a. What production run quantity should be used to minimize total annual setup and holding cost? (Do not round intermediate calculations. Round the final answer to the nearest whole number.)   Production run quantity = units   b. What is the length of a production run (in days)? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)   Run length = days   c. During production, at what rate will inventory build…

At Fraser engineering. Erix is trying to decide whether to purchase a certain part to to have it produced internally. Internal production could use either of two processes. One would entail a variable cost per unit of $17, and an annual fixed cost of $240,000. Three vendors are willing to provide the part. Vendor A has a price of $20 per-unit for any volume up to 30,000 units Vendor B has a price of $22 per-unit for demand of 1,000 units or less, and $18 per-unit for larger quantities. Vendor C offers a price of $21 per-unit for the first 1,000 units, and $19 for each additional unit. What is the correct formula to use to compare these options? Which options would be best for: I. 10,000 units? ii. 20,000 units? iii. 100,000 units? What is the value in considering these options across three very different demand values ranging from 10,000 to 100,000 units?