Answer:
Expenses and receipts will total $2800 after 200 hours.
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Explanation:
x = number of hours
Ron spends $11 an hour for operating costs. He spends 11x dollars on top of the $600 he spent on the equipment. The cost expression is 11x+600
On the flip side, Ron earns (on average) $14 an hour from the receipts or revenue. Overall, he earns 14x dollars.
Often in business applications, the owner is curious when s/he will break even. This is the point where the profit is 0 dollars, ie when cost = revenue.
So we'll set the two expressions equal to one another and solve for x.
cost = revenue
11x+600 = 14x
600 = 14x-11x
600 = 3x
600/3 = x
200 = x
x = 200
At the 200 hour mark is when Ron is likely to break even.
This x value leads to:
- cost = 11x+600 = 11*200+600 = 2200+600 = 2800 dollars
- revenue = 14x = 14*200 = 2800 dollars
We get the same cost for each expression, helping to confirm that x = 200 is correct.
The bakery's expenses and receipts will total $2800 after 200 hours.
