Revenue=quantity x price= (-2p+1000) (p)= -2p^2+1000p
The maximum revenue will occur when the first derivative is zero so when 2(-2p)+1000=0;p=250
Which generates 125,000 in revenue
Try prices of 245 and 255 and you will see they both are less than 250 thereby proving the max revenue is 250
For this case, we have to define perpendicular lines:

We have then:

Then, according to the definition we have:

We observe that the definition is fulfilled, therefore, the lines are perpendicular.
Answer:
b. they are perpendicular
Answer:
Volume of the pyramid = 927.72 m² (Approx)
Step-by-step explanation:
Given:
Length of base = 16.6 m
Height of the pyramid = 10.1 m
Find:
Volume of the pyramid = ?
Computation:
Area of the square base = Side²
Area of the square base = (16.6)²
Area of the square base = 275.56 m²

Volume of the pyramid = 927.72 m² (Approx)
The value of the coefficient B is 9.
2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2
The original form is 2x^2 + 14xy - 36y^2
-36y^2 = -4By^2
B= 9
-4xy +2Bxy= 14xy
xy(-4 +2B)= 14xy
-4 + 2B = 14
2B = 18
B=9
Answer:
131
Step-by-step explanation:
(-)86+45
86 + 45 = 131