Brooklyn needs to earn $14 more dollars to have $32. How much money does Brooklyn have now?
3 answers:
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Answer:
No lower than $208, and no higher than $956.8
Step-by-step explanation:
Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.
When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).
For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.
The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8
The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208
So these values give us the minimum and maximum that the company can charge to make a profit.
Answer:
<em>The plant grew </em><em> inches</em>
Step-by-step explanation:
<u>Operations with Fractions</u>
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:
Let's convert both fractions to improper form:
Adding the integers:
Now we find the LCM of 7 and 14 is 14, thus:
Rewriting as a mixed number:
The plant grew inches