Suppose the Equations $\frac{d y}{d t}=-3 y+3 x y$ $\frac{d x}{d t}=-x+x y$

question 48

Multiple Choice

Suppose the equations $\frac{d y}{d t}=-3 y+3 x y$ , $\frac{d x}{d t}=-x+x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.Determine all the equilibrium points in the xy-phase plane.(Select all that apply.)

• A) \((0,0)\)
• B) \((0,1)\)
• C) \((1,1)\)
• D) \((1,1)\).
• E) \((1,0)\)

Interpret production functions and calculate marginal and average product of labor.

Evaluate the factors contributing to labor productivity differences among economies.

Identify factors that do not directly contribute to the productivity of labor.

Understand the relationship and differences between average product and marginal product of labor.

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