Answer the following with True and False along with explanation.

a) if a firm that is maximizing its profit produces q units of output by choosing k* and l* then (K*,l*) is the cost minimizing way of the producing q units of output

b) Every competitive equilibrium is pareto efficent, irrespective of the consumers prefer ences or endowments.

(c) A consumer's utility over two goods, x and y, is given by min(x,y). Then, keeping her income fixed, if the price of x increase, her Walrasian demand for y will increase.

(d) A consumer with utility index u(x)=ln(x) over R++ is strictly risk reverse.

e)When a consumer's income increases her Walraisian deman for all goods will increases.