1. Show that the elasticity of APL with respect to labor is equal to the elasticity of output with respect to labor minus one.

2. Consider a production function F(L) which only uses the factor labor. If the elasticity of output with respect to labor input is always 0:5, what is the most you can say about the formulas for MPL and APL.

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3. A Firm has a production function Q=F(L;K) . For each fixed level of labor L0,it s total product of capital curve consists of a straight line with a vertical intercept of pL0 and a slope of 1 e. How would a change in its current level of capital affect the firm's total product of labor curve?

4.If a firm is currently at input bundle(L0;K0)and we have MPL(L0;K0) = 17 and APL(L0;K0) = 21, what is the most you can say about how a small rise in labor usage would affect the firm's average product of capital?