Start up costs = $52,000
She spends $680 per day, so 680d ( 680 times number of days)
She earns $960 per day, so 960d
Part A: To calculate the number of days until she makes a profit, multiply the operating expenses per day and add to the start up costs. The amount she makes per day need to either be equal or greater than those costs:
960d ≥ 52000 + 680d
Part B:
960d ≥ 52000 + 680d
Subtract 680d from each side:
280d ≥ 52000
Divide both sides by 280:
d = 52000 / 280 = 185.7, round up to 188
It will take 188 days for her to see a profit.