How to solve it?

1. (b) A company has the following production function 9(k, 1) = (x:/4+1/4)". It has to produce an amount Q when the price of capital is v = 8 and the price of labour is w = 1, so the total cost when k units of capital and l units of labour are employed is 8k +1. What is the optimal choice of capital and labour to produce Q at minimum cost. 2. A monopoly manufactures two commodities, X and y, the markets for which interact. The demand functions are given by x = 800(P, - Px), y = 400(9+2px -4p.). How much of each commodity should be manufactured to maximize the profit, given that it costs $1 to produce one unit of x and $1.5 to produce one unit of y? 1. (b) A company has the following production function 9(k, 1) = (x:/4+1/4)". It has to produce an amount Q when the price of capital is v = 8 and the price of labour is w = 1, so the total cost when k units of capital and l units of labour are employed is 8k +1. What is the optimal choice of capital and labour to produce Q at minimum cost. 2. A monopoly manufactures two commodities, X and y, the markets for which interact. The demand functions are given by x = 800(P, - Px), y = 400(9+2px -4p.). How much of each commodity should be manufactured to maximize the profit, given that it costs $1 to produce one unit of x and $1.5 to produce one unit of y