Sterling Industries produces machine parts as a contract provider for a large manufacturing company. Sterling produces two particular parts, shafts and gears. The competition management realizes how vulnerable its market is to cost-cutting competitors. Hence, having a very accurate understanding of costs is important to Sterling's survival. Sterling's president, Sheila Hudson, has observed that the company's current cost to produce shafts is $46.70, and the current cost to produce gears is $28.60. She indicated the cost system because Sterling is suddenly experiencing extraordinary competition on shafts, but it seems to have a virtual corner on the gears market. She is even consideri to a one-product manufacturer of gears. She asked the controller, George Coleman, to conduct a thorough cost study and to consider whether changes in the cost system are about the company's costs and various manufacturing activities for the most recent month: Shafts Gears Production units 50,000 18,000 Selling price $69.90 $51.00 Overhead per unit (based on direct labor hours) $25.00 $12.50 Materials and direct labor cost per unit Number of production runs Number of purchasing and receiving orders processed Number of machine hours Number of direct labor hours $21.70 $16.10 20 30 50 98 43,000 6,500 25,000 4,500 Number of engineering hours 2,500 2,500 Number of material moves 62 33 The controller was able to summarize the company's total manufacturing overhead into the following pools: Setup costs Machine costs $80,000 396,000 Purchasing and receiving costs 436,600 Engineering costs 418,000 Materials handling costs 144,400 Total $1,475,000 Required a. Calculate Sterling's current plantwide overhead rate based on direct labor hours. $ 50 per direct labor hour b. Verify Sterling's calculation of overhead cost per unit of $25.00 for shafts and $12.50 for gears. Shafts: $ 1,250,000 / 50,000 units $25.00 per unit Gears: $225,000 I 18,000 units $12.50 per unit c. Calculate the manufacturing overhead cost in total and per unit for shafts and gears using activity-based costing, assuming each of the five cost pools represents a separate assigning activity costs to the two products. Note: Round your answers to two decimal places. Shafts Gears Costs in total $ 0 * 0 x Costs per unit $ 0 x $ 0 x d. Comment on Sterling's current cost system and the reason the company is facing fierce competition for shafts but little competition for gears. Sterling is over-assigning costs to shafts. Sterling is under-assigning costs to gears.