Multiple Product Break-Even Analysis

Presented is information for Stafford Company's three products.

With monthly fixed costs of $306,000, the company sells two units of A for each unit of B and three units of B for each unit of C.

Determine the unit sales of product A at the monthly break-even point.

Sweet Grove Citrus Company buys a variety of citrus fruit from growers and then processes the fruit into a product line of fresh fruit, juices, and fruit flavorings. The most recent year's sales revenue was $4,200,000. Variable costs were 60 percent of sales and fixed costs totaled $1,500,000. Sweet Grove is evaluating two alternatives designed to enhance profitability.

One staff member has proposed that Sweet Grove purchase more automated processing equipment. This strategy would increase fixed costs by $400,000 but decrease variable costs to 54 percent of sales.

Another staff member has suggested that Sweet Grove rely more on outsourcing for fruit processing. This would reduce fixed costs by $400,000 but increase variable costs to 65 percent of sales.

(a) Assuming an income tax rate of 37 percent, what dollar sales volume is currently required to obtain an after-tax profit of $300,000?

b) In the absence of income taxes, at what sales volume will both alternatives (automation and outsourcing) provide the same profit?