Math Solutions

(See Solution) In deciding whether to set up a new manufacturing plant, company analysts have decided that a linear function is a reasonable estimation for the

Question: In deciding whether to set up a new manufacturing plant, company analysts have decided that a linear function is a reasonable estimation for the total cost \(C(x)\) in dollars to produce \(x\) items. They estimate the cost to produce 10,000 items as $547,500 and the cost to produce 50,000 items as $737,500.

  1. Find formula for \(C(x)\).
  2. Find the total cost to produce 100,000 items.
  3. Find the marginal cost of the items to be produced in this plant.

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