Raiden runs her own hot dog stand on the $U$ of A campus. The monthly cost of the cart rental and business permit is $$800.$ Raiden's contribution margin is $$2\mathrm{.}00$ per

hot dog sold. She has recently added individual servings of potatos chips to her product offering. Each bag of potato chips has a contribution margin of $$0\mathrm{.}75$ per bag.

Raiden sells $15$ bags of potato chips for every $10$ hot dogs.

What is Raiden's weighted$-$average contribution margin per unit?

How many total units much Raiden sell in a month to earn a target monthly profit of $$1,400?$

Of the total units needed to earn $$1,400$ of profit, how many are hot dogs and how many are bags of potato chips?

What is Raiden's weighted$-$average contribution margin per unit? $($Round the weighted$-$average contribution margin per unit to the nearest cent, $".$XX$".)$