Lance$$s Diner has a hot$-$lunch special each weekday and Sunday afternoon. The cost of food and other variable costs for each meal served is $$3\mathrm{.}50$; weekly fixed costs $($e$.$g$.,$ building depreciation and equipment rental costs$)$ are $$6,000,$ regardless of how many days the diner is open per week. Lance has an average of $500$ customers per day.

Required:

a$.$ What is the lowest price in total $($not per meal$)$ that Lance should charge for a special group of $200$ that wants to come on Saturday for a family reunion?

b$.$ What should be the lowest price per meal that Lance should charge for the hot$-$lunch special served on weekdays and Sunday afternoons? $($Round "Lowest price per meal" answer to $2$ decimal places.$)$