Question

The World Wide Wicket Corporation has the following profit model: when 10 wickets are sold, the company has a profit of 0. When 105 wickets are sold, the company has its maximum profit of $18,050. What is the function that represents WWWC’s profit f(x) depending on the number of items sold, x?

Answer 1

f(x) = 190(x - 10)

Explanation:

When 10 wickets are sold, World Wide Wicket Corporation (WWC) has a profit of 0 and when 105 wickets are sold $18050 profit is made.

If x is the number of items sold and f(x) is the profit depending on the number of items. From the first statement, since 10 wickets gives $0, it can be represented by:

f(x) = c(x - 10)

where c is a constant.

From the second statement, f(x) = $18050 and x = 105. We can calculate c from:

$18050 = c(105 - 10)

18050 = 95c

c = 18050 / 95 = 190

Therefor WWC profit can be represented by

f(x) = 190(x - 10)