Lawn Chopper Company sells two types of lawn mowers. The first one is a basic lawn mower, which has variable costs of $50 and sells for $150. The second type is a riding tractor with variable costs of $500 and which sells for $1,500. The company has total fixed costs of $5,000,000. The sales mix for the company is three lawn mowers to one riding tractor. Your manager would like to know how many of each of the product the company must sell to break even.

See below

Explanation:

Breakven even point is computed as

= Fixed costs / ( Sales price per unit - Variable costs per unit)

For basic lawn mower, Given that;

Fixed cost = $5,000,000

Sales price per unit = $150

Variable costs per unit = $50

BEP = $500,000 / ($150 - $50)

BEP = $500,000 / $100

BEP = 5,000 units

For Riding tractor, given that;

Fixed costs = $500,000

Sales price per unit = $1,500

Variable cost per unit = $500

BEP = $500,000 / ($1,500 - $500)

BEP = $500,000 / $1,000

BEP = 500 units

It therefore means that 5,000 units of basic Lawn mower must be sold to break even, while 500 units of riding tractor must be sold to break even.

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