Question

QUIZLET Brandon's computer shop is considering two different configuration options. The first one is to have each computer built by a sales associate when he or she has free time. The second option is to hire a dedicated assembly technician. Option A has variable costs of $50 per computer and no fixed costs. Option B has a fixed cost of $1,000 but variable costs of only $5 per computer. What is the cross-over point?

Answer 1

The cross-over point is about 22 computers.

Step-by-step explanation:

Fixed cost, F = 0

Variable cost = $50

Option B

Fixed cost, F = $1,000

Variable cost, V = $5

Therefore,

Total cost = F + (n × V)

n = no of units

Option A

Total cost TC = 50n

Option B

Total cost TC = 1000 + 5n

We can calculate cross-over point by equalizing two options :

50n = 1000 + 5n

45n = 1000

n = 22.2

The cross-over point is about 22 computers.