Sportsbags Inc. makes and sells hockey bags for students. Financial projections for this line of products are revenue of $$937,000,$ total variable costs of $$211,880,$ and fixed costs of $$554,000.$

Answer each of the following independent questions.

$($a$)$ How much is the contribution margin and the contribution rate?

$($b$)$ How much of this product line does the business need to sell to break even?

$($c$)$ If the business was to save $$15,000$ in variable costs by offering fewer colours of hockey bags, how much of this product line does the business need to sell to break even?

$($d$)$ If a specialized logo was printed on the hockey bags, the variable costs would increase by $6\%,$ and the fixed costs would increase by $$8000.$ If the price of the hockey bags was then increased by $9\%,$ what would be the resulting net income?

$($a$)$ The contribution margin is $$725120.($Type an integer or a decirnal.$)$

The contribution rate is $\%.($Round to six decimal places as needed.$)$

$($b$)$ The business needs to sell $ $$ of this product line to break even.

$($Round up to the nearest cent as needed.$)$

$($c$)$ If the business was to save $$15,000$ in variable costs by offering fewer colours of hockey bags, it would need to sell $ $$ of this product line to break even.

$($Round up to the nearest cent as needed.$)$

$($d$)$ The resulting net income would be $ $($Type an integer or a decimal.$)$