Answer:
A. $18
B. $200
C. 
Step-by-step explanation:
Function:

<u>Parts A and B:</u>
The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

The price that generates the maximum profit is $18
The maximum profit is $200
<u>Part C:</u>
The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all
, so the positive profit is for 
In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.
0.37
0.194
0.6
0.473
0.29
the smallest digit at tenth place is 1 in 0.194, so 0.194 is the smallest here
Answer:
C.) <u>India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.</u>
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<u>EDGE2021</u>
Answer:
The dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
Step-by-step explanation:
Volume of the cardboard = 16,384 
The function that represents the area of the cardboard without a lid is given by
------ (1)
Volume of the cardboard with sides x, y & z is


Put this value of z in equation (1) we get


Differentiate above equation with respect to x & y we get


Take 

------ (2)
------- (3)
By solving equation (2) & (3) we get

x = 31 cm
From equation 2

y = 32768 (
)
y = 34 cm


Z = 15.54 cm
Thus the dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm