As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings t
2 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.
We have two conditions that we need to apply:
Condition one: Salary at least 33500
Condition two: No college education is required
Looking at the table below, there are only two jobs that don't require college certificate; Private Detective and Sheet Metal Worker.
Between these two jobs, the one that gives salary at least 33500 is Sheet Metal Worker
Hence, based on the data given, Jasmine can plan to take on training as Sheet Metal Worker
Condition one: Salary at least 33500
Condition two: No college education is required
Looking at the table below, there are only two jobs that don't require college certificate; Private Detective and Sheet Metal Worker.
Between these two jobs, the one that gives salary at least 33500 is Sheet Metal Worker
Hence, based on the data given, Jasmine can plan to take on training as Sheet Metal Worker