Question

A small producer of machine tools wants to move to a larger building, and has identified two alternatives. Location A has annual fixed costs of $100,000 and variable costs of $13,000 per unit; location B has annual fixed costs of $300,000 and variable costs of $8,000 per unit. The finished items sell for $18,000 each.For what range of output would location A be superior?

Answer 1

Location A is superior to up 40 units. From there Location B is better

Step-by-step explanation:

Giving the following information:

Location A:

Fixed costs of $100,000

Variable costs of $13,000 per unit.

Location B:

Fixed costs of $300,000.

Variable costs of $8,000 per unit.

The finished items sell for $18,000 unit.

Contribution margin Location A= 18000-13000= 5,000

Contribution margin Location B= 18000 - 8000= 10,000

Income formula location A= 5000*Q - 100000

Income formula location B= 10000*Q- 300000

5000*Q - 100000= 10000*Q - 300000

200000= 5000Q

Q= 40 units

Location A is superior to up 40 units. From there Location B is better.