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Home > CALC > Chapter 6 > Lesson 6.3.3 > Problem 6-104


A calculator company found that the cost of producing x graphing calculators per day is . (This ignores the original research and development cost, which is quite large.)

  1. If each calculator is priced at , find a daily revenue function, , which calculates the income for calculators sold.

  2. Find the profit function, , which calculates the profit per day when x calculators are produced and each later sold for .

    Profit is the difference between revenue and cost of product.

  3. Find the daily production that will maximize the profit.

    Optimize your profit function. We are looking for an -value.

  4. What is the maximum daily profit?

    Find the value that corresponds to your answer in part (c).