Respuesta :
To answer this question, we have the start-up costs of $ 52,000
Operating costs in dollars are 680
The daily gain in dollars in 960
Part A.
The inequality that this situation represents
[tex]960d - 680d> 52000.[/tex]
So:
[tex]d(960-680)> 52 000[/tex]
Where "d" represents the number of days.
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.
[tex]d> \frac{52000}{960-680}[/tex]
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.
note: A monthly inflation of $ 0 is assumed
Answer:
Part A : [tex]280d>52000[/tex]
Part B : After 185.71 days Lulianne will begin making a profit.
Step-by-step explanation:
Given :
Julianne start-up costs for the building, advertising, and supplies total $52,000.
She spends $680 on operating costs on each day.
She earns $960 per day from her students lesson fees.
To Find :
Part A: Write an equation or inequality to represent this situation. Let d be the number of days.
Part B: When will Lulianne begin making a profit?
Solution :
She spends on operating costs on each day= $680
She spends on operating costs on d days= $680 d
She earns per day from her students lesson fees= $960
She earns in d days from her students lesson fees= $960 d
So,
remaining money =She earns in d days from her students lesson fees -She spends on operating costs on d days
= $960 d- $680 d = $280 d
So, she left with $280 d in days .
Her start up cost was $52,000
So, the inequality to represent the situation :
⇒[tex]280d>52000[/tex]
⇒[tex]d=\frac{52000}{280}[/tex]
⇒[tex]d=185.71[/tex]
Thus, after 185.71 days lulianne will begin making a profit.
Hence , the inequality to represent the situation : [tex]280d>52000[/tex]
and after 185.71 days lulianne will begin making a profit.
