Micron is planning to construct a new semiconductor fabrication plant. They are considering three locations in Upstate New York: Albany, Syracuse, and Buffalo. The fixed and variable costs for each of these facilities are as follows:

Albany: $$6,100,000$ fixed cost and $$40$ per unit variable cost

Syracuse: $$5,500,000$ fixed cost and $$45$ per unit variable cost

Buffalo: $$7,200,000$ fixed cost and $$35$ per unit variable cost

Which of the following statements is $($are$)$ true?

I. The point of indifference between Albany and Syracuse is $125,000$ units.

II$.$ The total cost of Albany at $100,000$ units is $$9,600,000.$

III. At $100,000$ units, Syracuse is the lowest$-$cost option.

Question $2$ options:

I, II and III

I and II

I and III

III only

II only

II and III

I only