From points (2, 0) and (6, 0), you can get base = 6 - 2 = 4.
From point (8, 5), you get a height of length 5.
A = bh/2 = 4 * 5/2 = 10
Area = 10 square units
Base or base number
for example 2^3 = 2 * 2 * 2 or x^2 = x * x
Ok this is simple. first, lets look at the 123 angle, so the entire line is 180. subtract 123 from 180 and you have 57. a triangle will always add up to 180 degress aswell. so add 58 and 57 and thats 115. so since a triangle will always add up to 180, subtract 115 from 180 and you have the missing angle:
65!
First : x=-5-y and then put x in the phrase above
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.