What is the slope of the line that passes through the points (-8, -6) and (2, -3)
2 answers:
To find the slope of this line, I will show you the graphing method.
To find the slope of the line using the graphing method, we first set up a coordinate system like I have done for you below.
Next, we plot our two points.
Start by plotting (-8, -6) which we label point A and (2, -3) which
we label point B and we graph our line through the two points.
Next, remember that the slope or <em>m</em> is equal
to the rise/run from point A to point B.
To get from point A to point B, we rise 3 units and run 10 units.
So our slope or rise/run is 3/10.
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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.
