Answer:
40 is the full amount
Step-by-step explanation:
Answer:
Area = (2-3x)(2x+5)(x-1)
= -6x³-5x²+21x-10
Step-by-step explanation:
Answer:
12,000
Step-by-step explanation:
The two thousands that 11,900 is in between are 11,000 and 12,000 which are our two options to choose from. 11,900 is only 100 away from 12,000 and 900 away from 11,000. Because the distance between 11,900 and 12,000 is shorter than the distance between 11,900 and 11,000, this means that 12,000 would be our answer since it is closer.
(I'm really sorry if this is confusing, I'm not good with words)
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
I think I know what you are thinking and you are halfway on the right track. : ) You are probably looking at the x-axis right in between the pentagon and its reflection. This <em />is the right line, but it is a y-line and not x. When we say a line is at x = 0, we mean that every point on that line has an x-value of 0, such as (0,1), (0,2), (0, 3) etc. Any line in the form x = 0 (or any other number) is a vertical line. Y-lines are the same way but they run horizontal like the line of reflection in this problem. : )
