Haruka owns an umbrella factory. the revenue, r, she makes from selling n umbrellas is given by the function r(n)=18n, and the profit p, that she makes from selling n umbrellas is given by the fiction p(n)=17n-5

The question is to find an expression for the expenses

E (x) =n + 5

Explanation:

The profit is defined as the difference between the revenue and the expenses.

This means that:

profit = revenue - expenses

Now, we rearrange the equation to solve for expenses:

expenses = revenue - profit

From the given, we know that:

expression for revenue is 18n

expression for profit is 17n - 5

Substitute in the equation to get expression for expenses as follows:

E (x) = 18n - (17n - 5)

E (x) = 18n - 17n + 5

E (x) = n + 5

Hope this helps :)

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