Q$6(7$ Marks$)$ You are the advisor of a Junior Achievement group in a local high school. You need to help the group make a decision about fees that must be paid to sell gardening tools at the Home and Garden Show. The group sells a set of tools for $$20\mathrm{.}00.$ The manufacturing cost $($all variable$)$ is $$6$ per set. The Home and Garden Show coordinator allows the following three payment options for groups exhibiting and selling at the show:

Pay a fixed booth fee of $$6,000.$

Pay a fee of $$4,000$ plus $10\%$ of all revenue from tool sets sold at the show.

Pay $15\%$ of all revenue from tool sets sold at the show.

Required:

A$.$ Compute the breakeven number of tool sets for each option.

B$.$ Which option should Junior Achievement choose, assuming sales are expected to be $1\mathrm{.}000$ sets of tools?