Question

Please Help, 35 Points.

Julianne opens a dance studio her start-up cost for the building, advertising, and supplies total $52,000. Each day, she spends $680 on operating costs (like utilities and wages). She earns 960 per day from her student’s lesson fees.

Part A: Write an equation or inequality to represent this situation. Let d be the number of days.

Part B: When will Julianne begin making a profit? Show all the work.

Answer 1

To answer this question, we have the start-up costs of $ 52,000

A monthly inflation of $ 0 is assumed

Operating costs are $680

The daily gain is $960

For the Part A.

The inequality that this situation represents

`960d-680d>52000`

So:

`d(960-680)>52000`

Where d represents the number of days.

For the Part B.

To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.

`d>(52000)/(960-680)`

d> 185.71 days

Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.