Answer:
All the numbers are missing, so I looked for a similar question.
The contract includes the production of 225,000 gear housings during 1 year.
We are also given the estimated costs of each alternative. We must choose the alternative that minimizes our total costs.
For the current volume, the best option is flexible manufacturing system with a total cost of $3,462,500.
As total volume increases, the DM option becomes more attractive, but in order for it to cost less than FMS, total output should be higher than 325,000 units per year.
525,000 + 13.5x = 200,000 + 14.5x
x = 325,000 units
GPE is only attractive when the total units are lower (below 150,000 units per year):
125,000 + 15x = 200,000 + 14.5x
0.5x = 75,000
x = 150,000