A firm is selling two products, chairs and bar stools, each at $$55$ per unit. Chairs have a variable cost of $$30,$ and bar stools $$20.$ Fixed cost for the firm is $$21,000.$

a$.$ If the sales mix is $1$:$1($one chair sold for every bar stool sold$),$ what is the break$-$even point in dollars of sales? In units of chairs and bar stools? $($Round up your unit answers to the next whole number and round "Break$-$even point" to the nearest whole number.$)$

Break$-$even point

Number of chairs

Number of bar

stools

b$.$ If the sales mix changes to $1$:$4($one chair sold for every four bar stools sold$),$ what is the break$-$even point in dollars of sales? In units of chairs and bar stools? $($Round up your unit answers to the next whole number and round "Break$-$even point" to the nearest whole number.$)$

Break$-$even point

Number of chairs

Number of bar

stools