Question

In: Math

The cost, in thousands of dollars, of airing x television commercials during a sports event is...

The cost, in thousands of dollars, of airing x television commercials during a sports event is given by

C(x) = 20 + 5,000x + 0.05x2.

(a) Find the marginal cost function

Use it to estimate how fast the cost is increasing when x=4 ............. thousand dollars

Compare this with the exact cost of airing the fifth commercial.

The cost is going up at the rate of $  per television commercial. The exact cost of airing the fifth commercial is $  . Thus, there is a difference of $  .

(b) Find the average cost function C, and evaluate C(4).

What does the answer tell you?

The average cost of airing the first four commercials is $  per commercial.

Solutions

Expert Solution


Related Solutions

If you were interested in looking at the difference between commercials shown during daytime television (7am-5pm)...
If you were interested in looking at the difference between commercials shown during daytime television (7am-5pm) and primetime television (6pm-11pm), what do you think you would find? Why do you think commercial content is different during these two times? If you wanted to test your hypotheses, what would your unit of analysis be? What would your units of observation be?
Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch...
Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch a company’s product. Research published in Nature (August 27 1998) revealed that people are, in fact, more attracted to “feminized” faces, regardless of gender. In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer. Using special computer graphics, each subject could morph the faces (by making them more feminine or more masculine) until they...
In a test of the quality of two television commercials, each commercial was shown in a...
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number Who Saw Commercial 148 203 Number Who Recalled Message 62 62 What is the value of the...
In a test of the quality of two television commercials, each commercial was shown in a...
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number Who Saw Commercial 148 203 Number Who Recalled Message 62 62 1. What is the value of...
In a test of the quality of two television commercials, each commercial was shown in a...
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number Who Saw Commercial 145 195 Number Who Recalled Message 61 57 Use  = .05 and test the hypothesis...
In a test of the quality of two television commercials, each commercial was shown in a...
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number who saw the commercial: 155 Number who saw the commercial: 204 Number who recalled the message: 64...
1)The total profit​ P(x) (in thousands of​ dollars) from a sale of x thousand units of...
1)The total profit​ P(x) (in thousands of​ dollars) from a sale of x thousand units of a new product is given by ​P(x)= ln (-x3+9x2+48x+1) (0≤x≤​10). ​a) Find the number of units that should be sold in order to maximize the total profit. ​b) What is the maximum​ profit? 2)Suppose that the cost function for a product is given by C(x)=0.003x3+9x+9,610. Find the production level​ (i.e., value of​ x) that will produce the minimum average cost per unit C(x). a)The...
Let x be per capita income in thousands of dollars. Let y be the number of...
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. x 8.6 9.7 10.3 8.0 8.3 8.7 y 9.7 19.0 22.0 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 53.6, Σy = 85.4, Σx2 = 482.72, Σy2 = 1344.7, Σxy = 784.51, and r ≈ 0.963. (b) Verify the given sums Σx, Σy,...
Let x be per capita income in thousands of dollars. Let y be the number of...
Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y. x 9.0 9.4 10.2 8.0 8.3 8.7 y 9.5 18.0 21.2 10.2 11.4 13.1 Complete parts (a) through (e), given Σx = 53.6, Σy = 83.4, Σx2 = 481.98, Σy2 = 1269.3, Σxy = 761.13, and r ≈ 0.864. (b) Verify the given sums Σx, Σy,...
The total revenue, in thousands of dollars, from the sale of x spas and y solar...
The total revenue, in thousands of dollars, from the sale of x spas and y solar heaters is approximated by R(x,y)= 12+74x+85y-3x^2-5y^2-5xy. find the number of each that should be sold to procude maximum revenue. Find the maximum revenue.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT