The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
Add the length width and height all together
There is no answer as this isn't an equation. And moreover it's in its simplest form.
Check the picture.
The bases of the 2 prisms are on 2 parallel planes,
a and
b.
Let
c be a third plane, between
a and
b, parallel to both.
Then,
the cross-sections
A and
B , of the 2 prisms, formed by plane c, have
Equal Areas,
this is by
Cavalier's Principle.