Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of 300 and 600, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 300 assembly hours per week. Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. 2. Identify the optimal amount that should be produced of each machine part and the total contribution margin associated with this mix. 3. What if market conditions are such that Patz can sell at most 75 units of Part A and 60 units of Part B? Express the objective function with its associated constraints for this case and identify the optimal mix and its associated total contribution margin.

Larsen, Inc., produces two types of electronic parts and has provided the following data: There are four activities: machining, setting up, testing, and purchasing. Required: 1. Calculate the activity consumption ratios for each product. 2. Calculate the consumption ratios for the plantwide rate (direct labor hours). When compared with the activity ratios, what can you say about the relative accuracy of a plantwide rate? Which product is undercosted? 3. What if the machine hours were used for the plantwide rate? Would this remove the cost distortion of a plantwide rate?

Southward Company has implemented a JIT flexible manufacturing system. John Richins, controller of the company, has decided to reduce the accounting requirements given the expectation of lower inventories. For one thing, he has decided to treat direct labor cost as a part of overhead and to discontinue the detailed direct labor accounting of the past. The company has created two manufacturing cells, each capable of producing a family of products: the radiator cell and the water pump cell. The output of both cells is sold to a sister division and to customers who use the radiators and water pumps for repair activity. Product-level overhead costs outside the cells are assigned to each cell using appropriate drivers. Facility-level costs are allocated to each cell on the basis of square footage. The budgeted direct labor and overhead costs are as follows: The predetermined conversion cost rate is based on available production hours in each cell. The radiator cell has 45,000 hours available for production, and the water pump cell has 27,000 hours. Conversion costs are applied to the units produced by multiplying the conversion rate by the actual time required to produce the units. The radiator cell produced 81,000 units, taking 0.5 hour to produce one unit of product (on average). The water pump cell produced 90,000 units, taking 0.25 hour to produce one unit of product (on average). Other actual results for the year are as follows: All units produced were sold. Any conversion cost variance is closed to Cost of Goods Sold. Required: 1. Calculate the predetermined conversion cost rates for each cell. 2. Prepare journal entries using backflush accounting. Assume two trigger points, with completion of goods as the second trigger point. 3. Repeat Requirement 2, assuming that the second trigger point is the sale of the goods. 4. Explain why there is no need to have a work-in-process inventory account. 5. Two variants of backflush costing were presented in which each used two trigger points, with the second trigger point differing. Suppose that the only trigger point for recognizing manufacturing costs occurs when the goods are sold. How would the entries be listed here? When would this backflush variant be considered appropriate?