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Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a serles of 20-In. flat-tube LCD televislons. The quantity x of these sets demanded each week is re to the wholesale unit price p by the following equation. p - -0.007x + 170 The weekly total cost (In dollars) Incurred by Pulsar for producing x sets is represented by the following equation. Find the following functlons (In dollars) and compute the following values. C(x) = 0.000001x- 0.02x2 + 130x + 75,000 (a) Find the revenue function R. R(x) = -0.007x2 +170x V Find the profit function P. P(x) =-0.000001x +0.013x + 40x- 75000 (b) Find the marginal cost function C'. C(x) =-.000003x2 - 0.04x + 130 x Find the marginal revenue function R'. R'(x) = -0.014x + 170 Find the marginal profit function P'. P'(x) =-0.000003x2 + 0.023x + 40 x (c) Compute the following values. (Round your answers to two decimal places.) C"(1,000) = 93 R'(1,000) = 156 P'(1,000) = 63 C (in millions) (d) Sketch C(x). C (in millions) C (in millions) 1.2 1.2 0.8 1.2 0.8 0.4 0.8 0.4 0.4

Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a serles of 20-In. flat-tube LCD televislons. The quantity x of these sets demanded each week is re to the wholesale unit price p by the following equation. p - -0.007x + 170 The weekly total cost (In dollars) Incurred by Pulsar for producing x sets is represented by the following equation. Find the following functlons (In dollars) and compute the following values. C(x) = 0.000001x- 0.02x2 + 130x + 75,000 (a) Find the revenue function R. R(x) = -0.007x2 +170x V Find the profit function P. P(x) =-0.000001x +0.013x + 40x- 75000 (b) Find the marginal cost function C'. C(x) =-.000003x2 - 0.04x + 130 x Find the marginal revenue function R'. R'(x) = -0.014x + 170 Find the marginal profit function P'. P'(x) =-0.000003x2 + 0.023x + 40 x (c) Compute the following values. (Round your answers to two decimal places.) C"(1,000) = 93 R'(1,000) = 156 P'(1,000) = 63 C (in millions) (d) Sketch C(x). C (in millions) C (in millions) 1.2 1.2 0.8 1.2 0.8 0.4 0.8 0.4 0.4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a serles of 20-In. flat-tube LCD televislons. The quantity x of these sets demanded each week is relat to the wholesale unit price p by the following equation. p - -0.007x + 170 The weekly total cost (In dollars) Incurred by Pulsar for producing x sets is represented by the following equation. Find the following functlons (in dollars) and compute the following values. C(x) = 0.000001x³ - 0.02x + 130x + 75,000 (a) Find the revenue function R. R(x) =-0.007x + 170x Find the profit function P. P(x) = -0.00000lx +0.013x + + 40x – 75000 (b) Find the marginal cost function C'. C'(x) =-.000003x2 - 0.04x + 130 x Find the marginal revenue function R'. R'(x) = -0.014x + 170 Find the marginal profit function P'. P'(x) = -0.000003x2 +0.023x+ 40 x (c) Compute the following values. (Round your answers to two decimal places.) C'(1,000) = 93 R'(1,000) = 156 P'(1,000) = 63 C (in millions) (d) Sketch C(x). C (in millions) C (in millions) 1.2 1.2 0.8 1.2 0.8 0.4 0.8 0.4 0.4
Transcribed Image Text:Marginal Cost, Revenus, and Profit for Producing LCD TVs A company manufactures a serles of 20-In. flat-tube LCD televislons. The quantity x of these sets demanded each week is relat to the wholesale unit price p by the following equation. p - -0.007x + 170 The weekly total cost (In dollars) Incurred by Pulsar for producing x sets is represented by the following equation. Find the following functlons (in dollars) and compute the following values. C(x) = 0.000001x³ - 0.02x + 130x + 75,000 (a) Find the revenue function R. R(x) =-0.007x + 170x Find the profit function P. P(x) = -0.00000lx +0.013x + + 40x – 75000 (b) Find the marginal cost function C'. C'(x) =-.000003x2 - 0.04x + 130 x Find the marginal revenue function R'. R'(x) = -0.014x + 170 Find the marginal profit function P'. P'(x) = -0.000003x2 +0.023x+ 40 x (c) Compute the following values. (Round your answers to two decimal places.) C'(1,000) = 93 R'(1,000) = 156 P'(1,000) = 63 C (in millions) (d) Sketch C(x). C (in millions) C (in millions) 1.2 1.2 0.8 1.2 0.8 0.4 0.8 0.4 0.4
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