ACT Math · Linear equations and inequalities
A company spends 2,000 to set up production, plus 15 per unit produced. Each unit sells for $35. How many units must be sold to break even?
A company spends $2,000 to set up production, plus $15 per unit produced. Each unit sells for $35. How many units must be sold to break even?
Answer and explanation
Answer: C: 100
Revenue equals cost at break-even. Revenue is , and total cost is . Set them equal: , so and units, choice C. Check: revenue is $3,500, and cost is . Each unit contributes $20 toward the setup cost, because . Choice B () divides the setup cost by the selling price, , ignoring the per-unit cost. Choice D () divides by $15 instead of $20. Choice A () is , which uses the sum of the costs and price incorrectly.
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