The costs to manufacture a part using methods A and B are estimated by $C_A = 10 + 0.6P$ and $C_B = 91 + 0.6P - 0.010P^2$, respectively, where the cost C is in dollars and P is the number of parts. Estimate the breakeven point. The breakeven point occurs at $P = \boxed{\phantom{000}}$ parts.
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Step 1
e., $C_A = C_B$. Step 2: Substitute the given expressions for $C_A$ and $C_B$ into the equation from Step 1: $10 + 0.6P = 91 + 0.6P - 0.010P^2$ Step 3: Rearrange the equation to solve for P. First, subtract $0.6P$ from both sides: $10 = 91 - 0.010P^2$ Step Show more…
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