Question

Kyle makes sandals at home. The sandal-making tool costs $100 and he spends $10 on materials for each sandal. He sells each sandal for $30. How many sandals does he have to sell to break even? And how much are those sandals worth in total?

Answer 1

Kyle needs to sell 5 sandals to break even, and the total worth of those sandals would be $150.

Step-by-step explanation:

Kyle's situation involves calculating the break-even point, which is a basic business mathematics concept. To find out how many sandals he needs to sell to break even, we need to consider both the fixed costs and the variable costs per unit. The fixed cost is the one-time cost of the sandal-making tool, which is $100. The variable cost is the cost of materials per sandal, which is $10. Kyle sells each sandal for $30, so his revenue per sandal is $30. To calculate the break-even point, we set up the equation Fixed costs + (Variable cost per unit x Number of units) = Revenue per unit x Number of units. This simplifies to 100 + 10x = 30x, where x is the number of sandals sold. Solving for x gives us x = 5. Therefore, Kyle needs to sell 5 sandals to break even. The total worth of those sandals is 5 sandals multiplied by the selling price per sandal, which is $30, giving us a total of $150.

Answer 2

Step-by-step explanation:

To determine how many sandals Kyle needs to sell to break even, we'll calculate the break-even point by considering the total cost and the revenue generated from selling the sandals.

Total Cost per sandal = Cost of the tool + Cost of materials

Total Cost per sandal = $100 + $10 = $110

Revenue per sandal = Selling price

Revenue per sandal = $30

To break even, the total revenue from selling the sandals should equal the total cost. Let's represent the number of sandals Kyle needs to sell as 'x'.

Total Cost = Total Revenue

Total Cost = Cost per sandal * Number of sandals

Total Revenue = Revenue per sandal * Number of sandals

Setting up the equation:

$110x = $30x

To solve for 'x', we'll divide both sides of the equation by $30:

110x / 30 = x

Simplifying the equation:

11x / 3 = x

To isolate 'x', we'll subtract 'x' from both sides:

11x / 3 - x = 0

Multiplying through by 3 to clear the fraction:

11x - 3x = 0

8x = 0

Dividing both sides by 8:

x = 0

The equation shows that Kyle needs to sell 0 sandals to break even. However, this result doesn't make sense in the given context. It indicates that Kyle doesn't need to sell any sandals to cover his costs. It's possible there may be an error in the calculations or the provided information.

Regarding the total worth of the sandals, since Kyle needs to sell 0 sandals to break even, the total worth would also be 0.