Question

Title: Marginal Cost, Revenue, and Profit for Producing LCD TVs A company manufactures a series of 20-inch flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation: p = -0.005x + 190 The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation: C(x) = 0.000001x^3 - 0.02x^2 + 120x + 70,000 (a) Find the revenue function R. R(x) = 0.05x^2 + 190x (b) Find the profit function P. P(x) = R(x) - C(x) (c) Find the marginal cost function C'. C'(x) = 0.000003x^2 - 0.04x + 120 (d) Find the marginal revenue function R'. R'(x) = 0.10x + 190 (e) Find the marginal profit function P'. P'(x) = R'(x) - C'(x)

          Title: Marginal Cost, Revenue, and Profit for Producing LCD TVs

A company manufactures a series of 20-inch flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation:

p = -0.005x + 190

The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation:

C(x) = 0.000001x^3 - 0.02x^2 + 120x + 70,000

(a) Find the revenue function R.

R(x) = 0.05x^2 + 190x

(b) Find the profit function P.

P(x) = R(x) - C(x)

(c) Find the marginal cost function C'.

C'(x) = 0.000003x^2 - 0.04x + 120

(d) Find the marginal revenue function R'.

R'(x) = 0.10x + 190

(e) Find the marginal profit function P'.

P'(x) = R'(x) - C'(x)

Added by Victoria D.

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