Question

A company is considering two designs for a machine in its manufacturing line. The first, called machine A, will cost $160000 in fixed costs and will cost $80 per unit in variable costs, for each unit it produces. The second, called B, will cost $270000 in fixed costs and will cost $2 per unit in variable costs, for each unit it produces. At what volume of production will the two machines cost the same

Answer 1

The indifference point is 1,410 units

Step-by-step explanation:

Giving the following information:

Machine A:

Fixed costs= $160,000

Unitary variable cost= $80

Machine B:

Fixed costs= $270,000

Unitary variable cost= $2

First, we need to structure the total cost formula for each machine:

Machine A= 160,000 + 80x

Machine B= 270,000 + 2x

x= number of units

Now, we equal both formulas and isolate x:

160,000 + 80x = 270,000 + 2x

78x = 110,000

x= 110,000/78

x= 1,410 units

The indifference point is 1,410 units