This reduces nicely if you first notice that 16/81 = (2/3)^4.
Then use the properties of powers (of positive real numbers):
(16/81)^(3/4) = ((2/3)^4)^(3/4) = (2/3)^3 = 8/27
Let the number of school team members be x, then
(54 - x)/2 + x = 32
54 + x = 32 x 2 = 64
x = 64 - 54 = 10
Therefore, the school has 10 team members.
(54 - 10) / 2 = 44/2 = 22 matches took place in the qualifing round.
22 + 16 + 8 + 4 + 2 + 1 = 53 matches took place by the time a champion is crowned.
Answer: Alternative optimal
Step-by-step explanation:
Alternative optimal solution means that
there are several optimal solutions that can be used to get identical objective function value.
Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.
Answer:
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Step-by-step explanation:
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Answer:
y = 12
Step-by-step explanation:
Divide both by 1/4
x = 1 when y = 32/3
When x = 1 1/8 = 9/8
y = 32/3 x 9/8
y = 12
