Company A is evaluating which machine to buy for a new process. Machine $1$ would have an annual fixed cost of $$144,000$ and a variable cost of $$4$ per unit, and Machine $2$ would have an annual fixed cost of $$135,000$ and a variable cost of $$5$ per unit. Determine the range of annual quantity for which each of the alternatives would be best.

Select one:

a$.$ For buy Machine $2.$ For $Q9,000$ buy Machine $1.$

b$.$ For buy Machine $1.$ For $Q9,000$ buy Machine $2.$

c$.$ For buy Machine $1.$ For $Q=13,999$ buy, Machine $2.$

d$.$ Buy Machine $2$ for all quantities.

e$.$ None of the options

f$.$ For buy Machine $2.$ For $Q>7,000$ buy Machine $1.$