A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x. Write and simplify a function P that represents the profit made from selling x bracelets.How many bracelets must the company sell to break even?

Question

Revolt · Accepted Answer

To find the profit function, subtract the cost function from the revenue function: P(x) = R(x) - C(x). Step 1: P(x) = 20x - (180 + 8x) Step 2: P(x) = 20x - 180 - 8x Step 3: P(x) = 12x - 180 To find the breakeven point, set P(x) to zero: 0 = 12x - 180 180 = 12x x = 15 The company must sell 15 bracelets to break even.

Function Operations

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