-3x - 3y = 3 y = -5x - 17 (solve by substitution)
1 answer:
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Answer:
- A: $37500
- B: $17500
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
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The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
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Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.
Answer:
a) X = 2/15 , 8/15, 1/3
b) attached below ( probability plot )
C) F(x ) attached below
d) cumulative probability plot
Step-by-step explanation:
a) Determine the probability of Function X
P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333
P( x = 1 ) = 8/15 = 0.5333
P( x = 2 ) = 1/3 = 0.3333
Hence the probability of Function X = 2/15 , 8/15, 1/3
b) Graph of the probability Function of X
x 0 1 2
p(x) 0.1333 0.5333 0.3333
attached below is the plot ( probability plot )
<u>c) Determine the Distribution function of CX </u>
using the results achieved in part ( a )
attached below is the solution
<u>d) Graph of distribution function of X </u>
x 0 1 2
p(x) 0.1333 0.6667 1
attached below is the plot ( cumulative probability plot )
