Determine the amount of sales (units) that would be necessary under Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 113,400 units at a price of $45 per unit during the current year. Its income statement for the current year is as follows: Sales $5,103,000 Cost of goods sold 2,520,000 Gross profit $2,583,000 Expenses: Selling expenses $1,260,000 Administrative expenses 1,260,000 Total expenses 2,520,000 Income from operations $63,000 The division of costs between fixed and variable is as follows: Variable Fixed 70% 30% Cost of goods sold Selling expenses 75% 25% Administrative expenses 50% 50% Management is considering a plant expansion program that will permit an increase of $405,000 in yearly sales. The expansion will increase fixed costs by $40,500, but will not affect the relationship between sales and variable costs. 1. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar. Total variable costs 3,339,000 S Total fixed costs 1,701,000 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Enter the final answers rounded to two decimal places. Unit variable cost 29.44 Unit contribution margin 15.56 3. Compute the break-even sales (units) for the current year. Enter the final answers rounded to the nearest whole number. 109,319 units 4. Compute the break-even sales (units) under the proposed program for the following year. Enter the final answers rounded to the nearest whole number 111,922 units 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $63,000 of income from operations that was earned in the current year. Enter the final answers rounded to the nearest whole number. 113,367 x units 6. Determine the maximum income from operations possible with the expanded plant. Enter the final answer rounded to the nearest dollar. 108,844 X 7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year? Enter the final answer rounded to the nearest dollar. Feedback Check My Work 1. Multiply the percentages for fixed and variable costs by each cost. 2. a. Divide the total variable costs by number of units. 2. b. Sales price per unit minus variable costs per unit equals contribution margin per unit. 3. Fixed costs divided by unit contribution margin equals break-even point. 4. Fixed costs under the proposed program divided by contribution margin equals new break-even point. 5. (Fixed costs + Target profit) divided by unit contribution margin equals sales units. 6. Determine the increase in units by dividing the sales increase by the price per unit. Add the additional revenue and additional fixed costs when calculating: Sales minus fixed and variable costs equals income from operations. 7. Subtract the additional fixed costs from the operating income. 8. Consider the break-even point and the sales needed for the proposed level. Learning Objective 2, Learning Objective 3
