Q:

means owns a food truck that sells pizzas. she charges $12 for each pizza. it costs her $5 to make each pizza and there is a $35 fee to park her food truck at a local food truck park. how many pizzas does she have to sell before she will break even? what's the variable? cost expression & profit expression. write equation to slove​

Accepted Solution

A:
Answer:5 pizzaStep-by-step explanation:Break Even is when revenue is equal to cost.We need to find revenue (income) equation and cost equation and equate it to find the unknown.We want to find the number of pizzas to break even, so the variable is the number of pizzas, we call it "p".Revenue is 12 per pizza, so the equation is:12pCost is 35 fixed + 5 variable (5 dollar cost per pizza). So we can write the equation as:35 + 5pNow, we equate both and solve for p:[tex]12p=35+5p\\12p-5p=35\\7p=35\\p=\frac{35}{7}\\p=5[/tex]Thus, 5 pizzas sold would break even.