Essay

Cost and Revenue Components for Manufacturing Weight Training Benches

You are working as an operations assistant for a fitness equipment manufacturer. The production team is planning to manufacture a new low-cost weight training bench, which has a variable cost of $15 per bench, a selling price of $32 per bench, and monthly fixed costs of $25,500. To prepare for a financial review meeting, you need to write a brief memo recalling and defining the key algebraic components used to model this business scenario.

In your memo, address the following three points:

  1. State the cost function C(x)C(x) for this scenario, and explain what the variable cost ($15) and fixed cost ($25,500) represent in the context of manufacturing.
  2. State the revenue function R(x)R(x) for this scenario, and explain what the selling price ($32) represents.
  3. Recall and state the algebraic equation used to find the break-even point for this scenario, and describe what the break-even point represents in practical terms.

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Updated 2026-06-17

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