Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
The correct graph is the last one
x -3<-12
x<-12+3
x<-9
Answer:
680 Bacteria
Step-by-step explanation:
378 is evenly divisible by 126, which is equal to 3.
The first 126 minutes, the 85 bacteria will double to 170 bacteria.
The second 126 minutes (252 minutes total), the 170 bacteria will double to 340 bacteria.
The final 126 minutes (378 minutes total), the 340 bacteria will double to 680 bacteria total.
If this helped, a brainliest would be greatly appreciated!
Answer:
390625
Step-by-step explanation:
5x5x5x5x5x5x5x5