An internet advertiser gets revenue of R(x,y) million dollars for x hours of advertising during one week which is watched by y million people.

(a) Last week R(3,5)=2. What is the practical meaning of this?
(b) Ry(3,5)=0.3. What is the practical meaning of this?
(c) Rx(3,5)=0.2. What is the practical meaning of this?
(d) Suppose the number of people watching this week will drop by one million. How many extra hours of advertising are necessary to achieve the same revenue as last week?_____ hours

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Answer:

(a) Practical meaning of R(3, 5) =2 is that For every 3 hours of advertising during 1 week which was spectated by 5 million peoples the advertiser gets a revenue of 2 million dollars .

(b) Practical meaning of Ry(3, 5) =0.3 is that For every increase of 1 million people in the number of people spectating the advertisement for 3 hours of advertising during the week the revenue of advertiser  will get increased by 0.3 million.

(C) Practical meaning of Rx(3, 5) = 0.2 is that the for an increase of every advertising hour during one week when the advertisement is spectated by 5 million peoples. revenue of advertiser will get increased by 0.2 million dollars

(d) If the number of peoples watching this week gets drop by one million then the number of extra hours of advertising necessary to acheive the same revenue as the last week will be given by the ratio of Ry(3, 5) and Rx(3, 5)

                                  [tex]\frac{R_{y} (3,5)}{R_{x}(3,5)} = \frac{0.3}{0.2} =1.5 hours[/tex]

Hence the extra hours of advertising necessar to achieve the same level as the last week will be 1.5 hours.

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