7:48 PM Sat Mar 21 * 98% Business and Economics 25. Advertising. A model for consumers' response to advertising is given by N(a) = 2000 + 500 In a, a 2 1, where N(a) is the number of units sold and a is the amount spent on advertising, in thousands of dollars. a. How many units are sold when $1000 is spent on advertising? b. Find N (a) and N (10). c. How much should be spent on advertising if 3000 units are to be sold? d. [Writing exercise.] Find lim N (a). Does it make sense to continue to spend more and more on advertising? Why or why not? 26. Advertising. A model for consumers' response to advertising is given by N(a) = 1000 + 200 In a, a > 1, where N(a) is the number of units sold and a is the amount spent on advertising, in thousands of dollars. a. How many units are sold when $1000 is spent on advertising? b. Find N (a) and N (10). c. How much should be spent on advertising if 1500 units are to be sold? d. [Writing exercise.] Discuss lim N (a). Does it make sense to spend more and more on advertising? Why or why not? 27. Marginal revenue. The demand for a new computer game can be modeled by p(x) = 53.5 – 8 In x, for 0 < x < 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x) = x · p (x). a. Find R(x). b. Find the marginal revenue, R (x). c. How many units will be sold if the price that consumers are willing to pay is $40?

Question

#25A-C

7:48 PM Sat Mar 21
* 98%
Business and Economics
25. Advertising. A model for consumers' response to advertising is given by
N(a)
= 2000 + 500 In a,
a 2 1,
where N(a) is the number of units sold and a is the amount spent on
advertising, in thousands of dollars.
a. How many units are sold when $1000 is spent on advertising?
b. Find N (a) and N (10).
c. How much should be spent on advertising if 3000 units are to be
sold?
d. [Writing exercise.] Find lim N (a). Does it make sense to continue
to spend more and more on advertising? Why or why not?
26. Advertising. A model for consumers' response to advertising is given by
N(a) = 1000 + 200 In a,
a > 1,
where N(a) is the number of units sold and a is the amount spent on
advertising, in thousands of dollars.
a. How many units are sold when $1000 is spent on advertising?
b. Find N (a) and N (10).
c. How much should be spent on advertising if 1500 units are to be
sold?
d. [Writing exercise.] Discuss lim N (a). Does it make sense to spend
more and more on advertising? Why or why not?
27. Marginal revenue. The demand for a new computer game can be modeled
by
p(x) = 53.5 – 8 In x,
for 0 < x < 800,
where p(x) is the price consumers will pay, in dollars, and x is the number of
games sold, in thousands. Recall that total revenue is given by R(x) = x · p (x).
a. Find R(x).
b. Find the marginal revenue, R (x).
c. How many units will be sold if the price that consumers are willing
to pay is $40?
Expand
Transcribed Image Text

7:48 PM Sat Mar 21 * 98% Business and Economics 25. Advertising. A model for consumers' response to advertising is given by N(a) = 2000 + 500 In a, a 2 1, where N(a) is the number of units sold and a is the amount spent on advertising, in thousands of dollars. a. How many units are sold when $1000 is spent on advertising? b. Find N (a) and N (10). c. How much should be spent on advertising if 3000 units are to be sold? d. [Writing exercise.] Find lim N (a). Does it make sense to continue to spend more and more on advertising? Why or why not? 26. Advertising. A model for consumers' response to advertising is given by N(a) = 1000 + 200 In a, a > 1, where N(a) is the number of units sold and a is the amount spent on advertising, in thousands of dollars. a. How many units are sold when $1000 is spent on advertising? b. Find N (a) and N (10). c. How much should be spent on advertising if 1500 units are to be sold? d. [Writing exercise.] Discuss lim N (a). Does it make sense to spend more and more on advertising? Why or why not? 27. Marginal revenue. The demand for a new computer game can be modeled by p(x) = 53.5 – 8 In x, for 0 < x < 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x) = x · p (x). a. Find R(x). b. Find the marginal revenue, R (x). c. How many units will be sold if the price that consumers are willing to pay is $40?

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