Q:

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONSExpenses For A Class Party Are $200 For Music And $5 Per Person For Food. The Class Plans To Sell Tickets For $10 Each. How many Tickets Must Be Sold In Order For The Class To Break Even? How many Tickets Must Be Sold For The Class To Earn A $200 Profit?

Accepted Solution

A:
Answer:40 Tickets80 TicketsStep-by-step explanation:To find how many tickets it will take to break even, we use the formula:[tex]Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}[/tex]Our variables are:Fixed Cost = $200Sales Price = $10Variable Cost = $5Let's plug in our values into the formula.[tex]Break Even In Units = \dfrac{200}{10-5}[/tex][tex]Break Even In Units = \dfrac{200}{5}[/tex][tex]Break Even In Units = 40[/tex]So the class needs to sell a total of 40 Tickets to break even.Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.Number of tickets for $200 profit = 40 x 2Number of tickets for $200 profit = 80 Tickets.So the class needs to sell 80 Tickets to make a $200 Profit.