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Premier Products, Inc. manufactures tennis rackets. Premier Products has grown extensively over the past two years. While the company has been very profitable, President Mark Harrison is concerned with its ability to cost products accurately. Some products appear to be very profitable while others, which should be showing a profit, seem to be losing money. The production manager is convinced that his production processes are as efficient as any in the industry, and he is unable to explain the apparent high cost of producing some of the products.

 

Harrison agreed with his production manager and is convinced that the cost accounting system is at fault. He has hired Tom Arnold, a management consultant, to analyze the firm’s costing system. Arnold has documented the existing costing system. It is a very simple system that uses a single allocation rate for all overhead costs. The overhead rate for the year is determined by adding together the budgeted variable and fixed overhead costs and dividing this sum by the number of budgeted labor hours. The standard cost of a product is found by multiplying the number of direct labor hours required to manufacture that product by the overhead rate and adding this quantity to the direct labor and material costs.
vArnold is convinced that the company’s costing system is partially to blame for some of the firm’s problems. He has assembled data for four of Premier’s products. He has put together the actual costs required for each of these products in Table A. These costs will serve as the benchmark against which the results of different allocation schemes can be evaluated.

 

1. The firm allocates only variable product costs to each product based on direct labor hours. What is the contribution margin for each product? Which product or products should the company produce if it wants to maximize the contribution margin for all of the products it produces? What would be the impact on profits? How accurate is this method of allocating costs? If Premier stopped producing some products in its product line of tennis rackets, what might happen to the demand for the surviving products?

NOTE: A product’s contribution margin is its selling price minus its variable cost per unit.

2. What would happen if the firm modified its costing system so that all variable costs were traced to the product accurately, but fixed costs were allocated using the existing system? Compute the cost for each product using this allocation process. What would be the impact on profits? How accurate is this method of allocating costs?

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