ICP Problems Chapter $5-$ CVP and BE

$6.$ Priest and Sons, a local manufacturer of a product that sells for $$13\mathrm{.}50$ per unit. Variable cost per unit is $$7\mathrm{.}85$ and fixed cost per period is $$1220.$ Capacity per period is $1100$ units.

Perform a break$-$even analysis showing

a$)$ an algebraic statement of

$($i$)$ the revenue function; $13\mathrm{.}501100=14850$

$($ii$)$ the cost function; $11007\mathrm{.}85=863\mathrm{.}5$

$($iii$)$ calculate the break$-$even point in units. $(215\mathrm{.}93)$

b$)$ a detailed break$-$even chart.

$1220+7\mathrm{.}85x=13\mathrm{.}50x$

$1220=5\mathrm{.}65x$