Question: Algebra (not Calculus) For a certain company, the cost function for producing x items is C(x) = 30x + 250 and the revenue function for

Algebra (not Calculus)

For a certain company, the cost function for producing x items is C(x) = 30x + 250 and the revenue function for selling x items is R(x) = -0.5 (x-110)2 + 6050. The maximum capacity of the company is 160 items.

  1. What is the domain and range of C(x)?
  2. What is the meaning of the slope and intercept of C(x)?
  3. At what production level x will the company receive the most revenue... the maximum revenue occurs when x = ?
  4. Assuming all the products are sold, what is the profit function P(x) = ?
  5. Why is finding the range of P(x) important?
  6. The company can choose to produce either 80 or 90 items, what is their profit for each case, and which level of production should they choose? 80 items = ? 90 items = ?
  7. Why does the company make less profit when producing 10 more items?

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