A stuffed animal business has a total cost of production $C(x)=11 x+60$ and a revenue function $R(x)=15 x$. Find the break even point.
Answer
Final Answer: The break-even point is when \(x = \boxed{15}\).
Step 1 ：Let's denote the number of stuffed animals produced and sold as 'x'.
Step 2 ：The total cost of production C(x) is given by the equation \(C(x) = 11x + 60\).
Step 3 ：The revenue function R(x) is given by the equation \(R(x) = 15x\).
Step 4 ：The break-even point is the point at which total cost equals total revenue, so we need to find the value of 'x' for which \(C(x) = R(x)\).
Step 5 ：Setting the two equations equal to each other gives us the equation \(11x + 60 = 15x\).
Step 6 ：Solving this equation for 'x' gives us \(x = 15\).
Step 7 ：Final Answer: The break-even point is when \(x = \boxed{15}\).
