Answer:
Maximum revenue = 1000 thousands of dollars.
Explanation:
We have the revenue equation
, where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.
At maximum revenue the derivative of equation is zero
So, 
So maximum revenue is when 200 thousands of toys are produced.
Maximum revenue, 
Maximum revenue = 1000 thousands of dollars.
Let's buils the intersection plane:
Point P is on AB and AP=2, then PB=3; point Q is on AE and AQ=1, then QE=4. Let P' be a point on CD such that CP'=2 and Q' be a point on the plane CDHG such that P'Q'=1 and P'Q' is perpendicular to CD. The line CQ' intersects HD at point R and the plane CPQR is intersection plane.
Consider triangles ΔCDR and ΔCP'Q', they are similar. So,

,
so R is a midlepoint of the side HD (for details see picture).
Answer:
7/36
Step-by-step explanation:
1 die has 6 faces
When two dice are rolled, the total number of outcomes
= 6 × 6 = 36
The Probability of having(5) =
(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)
= 4
The probability of having (10) =
(5 & 5), (4 & 6) , ( 6 & 4)
= 3
The probability that the score on the dice is either 5 or 10.
P(5) + P(10)
= 4/36 + 3/36
= 7/36
Answer: station X
Step-by-step explanation:
Because it was 3.08 the rest were lower