Texas Products Inc. has a division which makes burlap bags for the citrus industry. The unit has operating fixed costs of $10,000 per month, and it expects to sell 42,000 bags per month. If the variable cost per bag is $2.00, what price must the division charge in order to break even?

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Answer:

$2.23809

Explanation:

As we know that

In order to break even, the sales revenues = Fixed costs + Variable costs.

So we assume the sales units be X

Sales price per unit × Units = Fixed costs + Variable cost per unit × Unit

X × 42,000 bags = $10,000 + $2.0 × 42,000

X × 42,000 = $10,000 + $84,000

X × 42,000 = $94,000

So, X equals to

= $94,000 ÷ 42,000

= $2.23809

The price that the division must charge in order to break even is $2,24.

The point of Break-Even is the point where Revenue and Expenses meets.

Given Information

Sales price per unit = X

Units = 42,000 bag

Fixed costs = $10,000

Variable cost per unit = $2

We assume sales units to be X

Sales price per unit * Units = Fixed costs + Variable cost per unit*Unit

X * 42,000 bags = $10,000 + $2.0*42,000 bags

X * 42,000 = $10,000 + $84,000

X * 42,000 = $94,00

X = $94,000/42,000

X = $2.23809

X = $2.24

Therefore, the price that the division must charge in order to break even is $2,24.

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