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?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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