Final answer:
The firm's net income for last year would be $50,000, calculated from the $1 million revenue minus all expenses. Break-even revenue and required units to achieve a specific income depend on additional data not provided in the question.
Step-by-step explanation:
To calculate Helmet-Pro's net income for last year, we would subtract the total expenses from the sales revenue. As per the provided example, the firm had sales revenue of $1 million last year and incurred expenses for labor ($600,000), capital ($150,000), and materials ($200,000). The calculation would be as follows: $1,000,000 - ($600,000 + $150,000 + $200,000) = $50,000.
Regarding the break-even revenue, it's the amount of income needed to cover total expenses without making a profit or loss. This is not explicitly provided in the question, but generally, it's calculated by dividing total fixed costs by the contribution margin ratio. For the Helm-Pro case specifically, additional data is needed to provide an answer.
In terms of how many units Helmet-Pro must sell to earn a before-tax operating income of $835,200, this would depend on the unit cost, selling price, and any fixed costs. The formula to use would be dividing the target income plus fixed costs by the contribution margin per unit. Without these details, however, we cannot provide a specific number of units.