Solution:
we are given that
start-up costs 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 students' lesson fees.
PartA:
If d be the number of days, thren we can write
[tex]z=960d-680d\\\\\text{where z is the profit of each day}\\[/tex]
PartB:
To make profit
[tex]960d-680d\geq 52000\\\\280d\geq 52000\\\\d\geq 185.71[/tex]
Julianne begin making profit after 186 days.