**please show all work**

For many years, Thomson Company manufactured a single product called LEC 40. Then three years ago, the company automated a portion of its plant and at the same time introduced a second product called LEC 90 that has become increasingly popular. The LEC 90 is a more complex product, requiring 0.80 hours of direct labor time per unit to manufacture and extensive machining in the automated portion of the plant. The LEC 40 requires only 0.40 hours of direct labor time per unit and only a small amount of machining. Manufacturing overhead costs are currently assigned to products on the basis of direct labor-hours. Despite the growing popularity of the company's new LEC 90, profits have been declining steadily. Management is beginning to believe that there may be a problem with the company's costing system. Direct material and direct labor costs per unit are as follows: LEC 40 LEC 90 $30.00 $50.00 Direct materials Direct labor (0.40 hours and 0.80 hours @ $15.00 per hour) $ 6.00 $12.00 Management estimates that the company will incur $912,000 in manufacturing overhead costs during the current year and 60,000 units of the LEC 40 and 20,000 units of the LEC 90 will be produced and sold. 2. Management is considering using activity-based costing to assign manufacturing overhead cost to products. The activity-based costing system would have the following four activity cost pools: Estimated Overhead Activity Cost Pool Activity Measure Cost Maintaining parts inventory Number of part types 225,000 Processing purchase orders Number of purchase orders 182,000 Quality control Number of tests run 45,000 Machine-related Machine-hours 460,000 912,000 Activity Measure Number of part types Number of purchase orders Number of tests run Machine-hours Expected Activity LEC 40 LEC 90 Total 600 900 1,500 2,000 800 2,800 500 1,750 2,250 1,600 8,400 10,000 Determine the activity rate for each of the four activity cost pools. Determine the activity rate for each of the four activity cost pools. Activity Cost Pool Maintaining inventory Processing purchase orders Quality control Machine-related Activity Rate per part type per order per test per MH Using the activity rates you computed in part (2), determine the per unit amount of manufacturing overhead cost that would be assigned to each product using the activity-based costing system. (Round your answers to 2 decimal places.) Manufacturing overhead per unit of LEC 40 Manufacturing overhead per unit of LEC 90 Using the activity rates you computed in part (2), compute the unit product cost of each product. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Unit product cost for LEC 40 Unit product cost for LEC 90