Answer:96
Step-by-step explanation:
A; 480/16 = 30 students per classroom
B: 192/12 =16 students per classroom
we need x such that
which means
(480-x )* 12 should be equal to (192+x) * 16
5,760 - 12x = 3,072+16x
5,760 - 3,072 = 12x + 16x
2,688 = 28x
x = 96
Answer:
Widgets should be sold by $38.88 to maximize the profit.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
.
In this question:
The profit is given by:
Which is a quadratic function with
The maximum profit happens at the x of the vertex. Thus
Widgets should be sold by $38.88 to maximize the profit.