Is it one of your test and none of the answers are gonna work
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
Answer: The speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.
Step-by-step explanation:
Since we have given that
Let the speed of boat in still water be 'x'.
Let the speed of current be 'y'.
Distance = 1 mile
For Upstream, speed would be
For downstream, speed would be
By graphing method we get that
x = 3.558 miles/hr
and y = 1.058 miles/hr
Hence, the speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.
the step by step instructions r in the pics
