If 100 attendees are expected at an event,the fixed costs total 10,000 and the variable costs are 20 per person; the registration fee per person necessary to generate enough revenue to break-even is: 100 160 140 120

To determine the registration fee per person necessary to break even, we need to calculate the total cost and set it equal to the total revenue.<br /><br />The total cost is the sum of the fixed costs and the variable costs. The fixed costs are given as $10,000, and the variable costs are $20 per person. Since there are 100 attendees, the total variable costs are $20 \times 100 = $2,000.<br /><br />The total cost is $10,000 + $2,000 = $12,000.<br /><br />To break even, the total revenue must be equal to the total cost. Let $x$ be the registration fee per person. The total revenue is $x \times 100$.<br /><br />Setting the total revenue equal to the total cost, we have:<br /><br />$x \times 100 = 12,000$<br /><br />Solving for $x$, we get:<br /><br />$x = \frac{12,000}{100} = 120$<br /><br />Therefore, the registration fee per person necessary to break even is $\$120$.