Answer:
Step-by-step explanation:
A
Answer:
Pool will be filled in 280 hours
Step-by-step explanation:
Inlet pipe fills in 40 hours = 1 pool
Inlet pipe fills in 1 hours = 
Drain pipe empty in 42 hours = 1 pool
Drain pipe empty in 1 hour = 
If both pipes are opened together
then in pool fills in 1 hour = -
on simplifying the right side ,we get 
= 
= 
pool fills in 1 hour
1 pool will be filled in 840 hours
pool is filled
empty pool = 1 - = 
therfore pool will be filled in X 840 =
= 280 hours
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:
x= x/3 + 4/3
Step-by-step explanation:
Answer:
3x +3y +3h
that’s the farthest you can solve since you don’t know the variable’s values
