Question: A certain bacterial population has the following odd behavior. If the population is less than 1.5 10 8 in a given generation, each bacterium

A certain bacterial population has the following odd behavior. If the population is less than 1.5 × 108 in a given generation, each bacterium produces two offspring. If the population is greater than or equal to 1.5 × 108 in a given generation, it will be exactly 1.0 × 108 in the next.

a. Cobweb starting from an initial population of 107.

b. Graph a solution starting from an initial population of 107.

c. Find the equilibrium or equilibria of this population.

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