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Determining initial population, maximum population of fruit flies placed in a half pint milk bottle - word problem
Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast plants (for food and to provide a stimulus to lay eggs). Suppose that the fruit fly population after t days is given by
P(t) = 230 / ( 1 + 56.5e-0.37t)
(a) Determine the initial population
(b) Determine the maximum population.
(c) What is the population after 5 days?
(d) How long does it take for population to reach 180? Give exact answer and evaluate exact answer to 2 decimal places.
(e) Extra credit: Graph P(t). Be sure to show asymptotic behavior.
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
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Discrete Structure Assignment: - The Fibonacci numbers are defined as follows: f0 = 0, f1 = 1, and Fn = F n-1 + F n-2 for n >=2, Prove each of the following three claims:
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
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