A company decides to begin making and selling computers. The price function is given as follows: p = -30x + 2500 where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be $5000 with an additional cost of $250 per unit. (A) Find the revenue function in terms of x. R(x) = (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of x. P(x) = (D) Evaluate the marginal profit at x = 250. P'(250) =
Added by Michael R.
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The revenue function \( R(x) \) is given by the product of the price per unit \( p \) and the number of units sold \( x \). The price function is \( p = -30x + 2500 \). \[ R(x) = p \cdot x \] \[ R(x) = (-30x + 2500) \cdot x \] \[ R(x) = -30x^2 + 2500x \] So, Show more…
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