Joyce Murphy runs a courier service in downtown Seattle. She charges clients $$0\mathrm{.}56$ per mile driven. Joyce has determined that if she drives $3,200$ miles in a month, her total operating cost is $$732.$ If she drives $5,600$ miles in a month, her total operating cost is $$996.$ Joyce has used the high$-$low method to determine that her monthly cost equation is total monthly cost $=$ $$380+$ $$0\mathrm{.}11$ per mile driven.

Required:

Determine how many miles Joyce needs to drive to break even.

Calculate Joyce$$s degree of operating leverage if she drives $5,800$ miles.

Suppose Joyce took a week off and her sales for the month decreased by $23$ percent. Using the degree of operating leverage, calculate the effect this will have on her profit for that month.