Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 72: 20b

1000 servings need to be sold to break even

Breakeven occurs when $P=0$, or $R(x)=C(x)$. The break-even point is the number of items $x$ at which break even occurs. ----------------- Using part (a), $P(x)= 0.35x-350$ $P(x)=0$ $0.35x-350=0$ $0.35x=350\displaystyle \qquad /\times\frac{100}{35}$ $x=350\displaystyle \times\frac{100}{35}=1000$