What is the total profit that Brenda’s Boards earns after …

Mathematics Questions

What is the total profit that Brenda’s Boards earns after selling 100 skateboards, given that each skateboard sells for $45 and incurs expenses of $3 for wheels and mounts, $1 for the plastic board, $1 for paint, and $10 for labor? Options: $300, $350, $3,000, $3,500.

Short Answer

To calculate total profit, first determine the cost per unit, which totals $15 for materials and labor. The profit per board sold for $45 is $30, leading to a total profit of $3,000 after selling 100 boards.

Step-by-Step Solution

Step 1: Calculate the Cost per Unit

To find the total profit, start by figuring out how much it costs to produce one unit. This includes all materials and labor. The total cost per unit can be calculated as follows:

  • Wheels: $3
  • Plastic Board: $1
  • Paint: $1
  • Labor: $10

Adding these together gives a total cost of $15.

Step 2: Determine the Profit per Board

Next, determine how much profit the company makes for each board sold. This is calculated by subtracting the total cost per unit from the selling price.

The selling price is $45, so the calculation is as follows:

$45 (selling price) – $15 (cost per unit) = $30 (profit per board).

Step 3: Calculate the Total Profit

Finally, to find the total profit from selling the boards, multiply the profit per board by the number of boards sold. In this case, the company sold 100 boards.

The total profit can be calculated as:

100 boards * $30 (profit per board) = $3,000. Thus, the total profit after selling 100 boards is $3,000.

Related Concepts

Cost Per Unit

The total expense incurred to produce one unit of a product, including materials and labor costs.

Profit Per Board

The amount of money gained from selling one board, calculated by subtracting the cost per unit from the selling price.

Total Profit

The overall financial gain from selling multiple units, determined by multiplying the profit per board by the total number of boards sold.

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