(All Steps) The total monthly cost C(q) of a retail operation is linearly related to the quantity q, by the following equation: C(q) = 0.52 q + 30,000.


Question: The total monthly cost C(q) of a retail operation is linearly related to the quantity q, by the following equation: C(q) = 0.52 q + 30,000. They can sell each unit for $0.80.

  1. Interpret the two parameters of the cost equation.
  2. What is the profit equation P(q)?
  3. How many units must be sold to make a profit of $250,000?

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