Peggy Lane Corp., a producer of machine tools, wants to move to a larger site. Two alternative locations have been identified: Bonham and McKinney. Bonham would have fixed costs of $$800,000$ per year and variable costs of $$14,000$ per standard unit produced. McKinney would have annual fixed costs of $$920,000$ and variable costs of $$13,000$ per standard unit. The finished items sell for $$29,000$ each.

a$)$ Evaluate the volume of output at which the two locations would have the same profit?

b$)$ Evaluate the range of output at which Bonham would be superior $($have higher profits$)?$

c$)$ Evaluate the range for McKinney to be selected as superior location?