The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
2 answers:
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers , the number of two-pointers
, and the number of three-pointers
. We are trying to find
here. We also know that
, because that is the total amount of baskets, and also that
, which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are
and
. Solving the equations using our knowledge of systems of equations, you get that
. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
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Continuing from the setup in the question linked above (and using the same symbols/variables), we have
The next part of the question asks to maximize this result - our target function which we'll call
- subject to 
.
We can see that
is quadratic in 
, so let's complete the square.
Since
are non-negative, it stands to reason that the total product will be maximized if 
vanishes because 
is a parabola with its vertex (a maximum) at (5, 25). Setting 
, it's clear that the maximum of will then be attained when are largest, so the largest flux will be attained at 
, which gives a flux of 10,800.
The next part of the question asks to maximize this result - our target function which we'll call
We can see that
Since