Alden
Company has decided to use a contribution format income statement for
internal planning purposes. The company has analyzed its expenses and
has developed the following cost formulas:
| Cost | Cost Formula |
| Cost of goods sold | $27 per unit sold |
| Advertising expense | $184,000 per quarter |
| Sales commissions | 7% of sales |
| Administrative salaries | $94,000 per quarter |
| Shipping expense | ? |
| Depreciation expense | $64,000 per quarter |
|
|
Management has concluded that shipping expense is a mixed cost,
containing both variable and fixed cost elements. Units sold and the
related shipping expense over the last eight quarters are given below:
|
| Quarter | Units Sold | Shipping Expense |
| Year 1: | | |
| First | 30,000 | $174,000 |
| Second | 32,000 | $189,000 |
| Third | 37,000 | $231,000 |
| Fourth | 33,000 | $194,000 |
| Year 2: | | |
| First | 31,000 | $184,000 |
| Second | 34,000 | $199,000 |
| Third | 44,400 | $246,000 |
| Fourth | 41,400 | $222,000 |
|
|
Management would like a cost formula derived for shipping expense
so that a budgeted contribution format income statement can be prepared
for the next quarter.
|
| Required: |
| 1. |
Using the high-low method, estimate a cost formula for shipping expense based on the data for the last eight quarters above. (Omit the "$" sign in your response.)
|
| 2. |
In
the first quarter of Year 3, the company plans to sell 37,000 units at a
selling price of $55 per unit. Prepare a contribution format income
statement for the quarter. (Input all
amounts as positive values except losses which should be indicated by a
minus sign. Omit the "$" sign in your response.)
|
Explanation: 1. High-low method:
| | Units Sold | | Shipping Expense |
| High activity level | 44,400 | | $ | 246,000 |
| Low activity level | 30,000 | | | 174,000 |
| |
| |
|
|
| Change | 14,400 | | $ | 72,000 |
| |
| |
|
|
|
| Variable cost per unit | = |
Change in cost
|
| Change in activity |
| | = |
$72,000
| = $5 per unit |
| 14,400 units |
Fixed cost element:
| | | |
| Total shipping expense at high activity level | $ | 246,000 |
Less variable element: 44,400 units × $5.00 per unit | | 222,000 |
| |
|
|
| Fixed cost element | $ | 24,000 |
| |
|
|
|
Therefore, the cost formula is: Y = $24,000 + $5X.
2.
Sales: (37,000 units × $55 per unit) = $2,035,000
|
Cost of goods sold: (37,000 units × $27 per unit) = $999,000
|
Shipping expense: (37,000 units × $5 per unit) = $185,000
|
| Sales commission: ($2,035,000 × .07) = $142,450 |