Cover-to-Cover Company is a manufacturer of shelving for books. The company has compiled the following cost data, and wants your help in determining the cost behavior. After reviewing the data, complete requirements (1) and (2) that follow.
Units Produced |
Total Lumber Cost |
Total Utilities Cost |
Total Machine Depreciation Cost |
8,000 shelves | $88,000 | $10,200 | $120,000 |
16,000 shelves | 176,000 | 19,400 | 120,000 |
32,000 shelves | 352,000 | 37,800 | 120,000 |
40,000 shelves | 440,000 | 47,000 | 120,000 |
1. Determine whether the costs in the table are variable, fixed, mixed, or none of these.
Lumber, Utilities, Depriciation
2. For each cost, determine the fixed portion of the cost, and the per-unit variable cost. If there is no amount or an amount is zero, enter "0". Recall that, for N = Number of Units Produced, Total Costs = (Variable Cost Per Unit x N) + Fixed Cost. Complete the following table with your answers. Round variable portion of cost (per unit) answers to two decimal places.
Cost |
Fixed Portion of Cost |
Variable Portion of Cost (per Unit) |
Lumber | $ | $ |
Utilities | ||
Depreciation |
High-Low
Biblio Files Company is the chief competitor of Cover-to-Cover Company in the bookshelf business. Biblio Files is analyzing its manufacturing costs, and has compiled the following data for the first six months of the year. After reviewing the data, answer questions (1) through (3) that follow.
Units Produced | Total Cost | ||
January | 4,360 | units | $65,600 |
February | 275 | 6,250 | |
March | 1,000 | 15,000 | |
April | 4,775 | 96,250 | |
May | 1,750 | 32,500 | |
June | 3,015 | 48,000 |
1. From the data previously provided, help Biblio Files Company estimate the fixed and variable portions of its total costs using the high-low method. Recall that Total Costs = (Variable Cost Per Unit x Number of Units Produced) + Fixed Cost. Complete the following table.
Total Fixed Cost | Variable Cost per Unit |
$ | $ |
2. With your Total Fixed Cost and Variable Cost per Unit from the high-low method, compute the total cost for the following values of N (Number of Units Produced).
Number of Units Produced |
Total Cost |
3,500 | $ |
4,360 | |
4,775 |
1 | |||
Lumber | Variable | ||
Utilities | Mixed | ||
Depreciation | Fixed | ||
2 | |||
Fixed Portion of Cost |
Variable Portion of Cost (per Unit) |
||
Lumber | 0 | 11.00 | =88000/8000 |
Utilities | 1000 | 1.15 | |
Depreciation | 120000 | 0.00 | |
Workings for Utilities: | |||
Utilities Cost | Units | ||
High level | 47000 | 40000 | |
Low level | 10200 | 8000 | |
Change | 36800 | 32000 | |
Variable cost | 1.15 | =36800/32000 | |
Fixed cost | 1000 | =47000-(40000*1.15) |
Question-2 | ||
1 | ||
Total Cost | Units | |
High level | 4775 | 96250 |
Low level | 275 | 6250 |
Change | 4500 | 90000 |
Variable Cost per Unit | 20 | =90000/4500 |
Total Fixed Cost | 750 | =96250-(4775*20) |
2 | ||
Number of Units Produced |
Total cost | |
3500 | 70750 | =750+(3500*20) |
4360 | 87950 | =750+(4360*20) |
4775 | 96250 | =750+(4775*20) |
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