Question

In: Operations Management

A bike manufacturer has fixed costs of $250,000 and variable costs per bike of $55.00. The...

A bike manufacturer has fixed costs of $250,000 and variable costs per bike of $55.00. The bike sells for $150.00 per bike.

A. How many Bikes must be sold to break even?

B.If the fixed cost is increased, would the new breakeven point be higher or lower?

C. If the variable cost per bike decreased, would the new break even point be higher or lower?

Solutions

Expert Solution

A bike manufacturer has fixed costs of $250,000 and variable costs per bike of $55.00. The bike sells for $150.00 per bike.

Fixed cost = $250,000

Variable cost per bike = $55

The selling price of the bike = $150

A. How many Bikes must be sold to break even?

Breakeven point = Fixed cost / (Selling price per unit – Variable cost per unit) = 250,000/150 – 55 = 250,000/95 = 2631.5789 = 2631.58 units

B. If the fixed cost is increased, would the new breakeven point be higher or lower?

If the fixed cost is increased, and selling price, as well as the variable cost, do not increase, the new breakeven point will be higher. The reason is the value of the numerator increases while the denominator is the same.

C. If the variable cost per bike decreased, would the new break-even point be higher or lower?

If the variable cost per bike decreases, and the selling price, as well as fixed cost, remain the same, the break-even point will be lower. In this case, the variable cost decreases, which means the denominator increases and the numerator is the same as the previous one. So the break-even quantity will be decreased.

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