Which situation would best be modeled by the direct variation y = kx? The amount of money you make for working x hours at k doll
ars per hour y represents the length of an object in feet, x represents the length in yards, and k = 13 The total charge for k items selling for x dollars a piece, plus $10 for shipping A candle is 12 inches long, and y represents its length after burning k hours at a constant rate of x inches per hour
2 answers:
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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 answer is $33,372
Hope this helps.
- Max