Answer:
The answer to this question can be defined as follows:
i) 
ii) x=22 units
iii) Maximum profit: 953.45
Step-by-step explanation:
Given value:
p(x) = 211 − 5x \\
C(x) = 1,401 + 16x
The formula for calculating the profit function value:
The formula for calculating the value for maximum profit:
So, the production level is 22 units
Maximum profit:
Answer:
31 1/2, or answer D
Step-by-step explanation:
Because you have three countertops which all have an area of 10 1/2 meaning you multiply 10.5x3 getting 31.5
Answer:
(5.5, 0 )
Step-by-step explanation:
Given points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
The midpoint of A(3, 4) and B(8, - 4) is therefore
[ 0.5(3 + 8), 0.5(4 - 4) ] = (5.5, 0 )
The area of a trapezoid is:
(b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.
We are given expressions for the bases and values of the height and area, so let's plug the values in:
((x + 2) + (4x - 1)) * 8/2 = 104
Calculate the inside of the parentheses:
(5x + 1) * 8/2 = 104
8/2 = 4
(5x + 1) * 4 = 104
Divide by 4 on both sides:
5x + 1 = 26
Subtract 1 from both sides:
5x = 25
Divide by 5:
x = 5
Now that we know x, we can put it into the expressions given for the bases and figure out which is the longer one:
a = 4 * 5 - 1 = 20 - 1 = 19
b = 5 + 2 = 7
a is the longer base, so (A) is the answer.
If 10 pounds of rice were distributed in 6 bags equally, then you would have 10/6 pounds of rice in each bag, or 5/3.
