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Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 5,800x + 0.08x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)=0+5800+ 0.16x You're right! Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. 5,805.32 Xthousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $5,800.64 a difference of $ 0.08 × per television commercial. The exact cost of airing the fifth commercial is $ 5,800.72 . Thus, there is (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] C(x) = = C(4) 20+ 5.800x +0.08x² x Fantastic work! thousand dollars per television commercial = 5,805.32 What does the answer tell you? The average cost of airing the first four commercials is $ 5,805.32 × per commercial.

Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 5,800x + 0.08x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)=0+5800+ 0.16x You're right! Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. 5,805.32 Xthousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $5,800.64 a difference of $ 0.08 × per television commercial. The exact cost of airing the fifth commercial is $ 5,800.72 . Thus, there is (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] C(x) = = C(4) 20+ 5.800x +0.08x² x Fantastic work! thousand dollars per television commercial = 5,805.32 What does the answer tell you? The average cost of airing the first four commercials is $ 5,805.32 × per commercial.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 5,800x + 0.08x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)=0+5800+ 0.16x You're right! Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. 5,805.32 Xthousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $5,800.64 a difference of $ 0.08 × per television commercial. The exact cost of airing the fifth commercial is $ 5,800.72 . Thus, there is (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] C(x) = = C(4) 20+ 5.800x +0.08x² x Fantastic work! thousand dollars per television commercial = 5,805.32 What does the answer tell you? The average cost of airing the first four commercials is $ 5,805.32 × per commercial.
Transcribed Image Text:Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 5,800x + 0.08x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)=0+5800+ 0.16x You're right! Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. 5,805.32 Xthousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $5,800.64 a difference of $ 0.08 × per television commercial. The exact cost of airing the fifth commercial is $ 5,800.72 . Thus, there is (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] C(x) = = C(4) 20+ 5.800x +0.08x² x Fantastic work! thousand dollars per television commercial = 5,805.32 What does the answer tell you? The average cost of airing the first four commercials is $ 5,805.32 × per commercial.
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