Break$-$Even Sales Under Present and Proposed Conditions

Darby Company, operating at full capacity, sold $116,500$ units at a price of $$129$ per unit during the current year. Its income statement is as follows:

Sales $$15,028,500$

Cost of goods sold $5,332,000$

Gross profit $$9,696,500$

Expenses:

Selling expenses $$2,666,000$

Administrative expenses $1,591,000$

Total expenses $4,257,000$

Income from operations $$5,439,500$

The division of costs between variable and fixed is as follows:

Variable Fixed

Cost of goods sold $60\%40\%$

Selling expenses $50\%50\%$

Administrative expenses $30\%70\%$

Management is considering a plant expansion program for the following year that will permit an increase of $$1,290,000$ in yearly sales. The expansion will increase fixed costs by $$172,000,$ but will not affect the relationship between sales and variable costs.

Determine the total variable costs and the total fixed costs for the current year.

Total variable costs $

Total fixed costs $

Determine $($a$)$ the unit variable cost and $($b$)$ the unit contribution margin for the current year.

Unit variable cost

Unit contribution margin

Compute the break$-$even sales $($units$)$ for the current year.

Compute the break$-$even sales $($units$)$ under the proposed program for the following year.

Determine the amount of sales $($units$)$ that would be necessary under the proposed program to realize the $$5,439,500$ of income from operations that was earned in the current year.

Determine the maximum income from operations possible with the expanded plant.

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?