Answer:
90 engines must be made to minimize the unit cost.
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 minimum value of the function will happen for
C(x)=x²-180x+20,482
This means that
How many engines must be made to minimize the unit cost?
x value of the vertex. So
90 engines must be made to minimize the unit cost.
The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.
<em><u>Solution:</u></em>
Given that,
Each step is 8 inches high
There are a total of 50 stairs
So the height of 50 stairs is:
Height of 50 stairs = 50 x 8 = 400 inches
Joseph makes 10 round trips up and down the stairs
So, joseph has went up 10 times and he came down 10 times
We need to find the distance he has traveled vertically in the combined trips
Therefore,
Number of times he went up = 10
We know that,
height of 50 stairs = 400 inches
Therefore,
Distance traveled up = 10 x 400 = 4000 inches
Convert to yard
1 yard = 36 inch
Therefore,
Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards