1 (a) If 1=1000, p =10 and utility is given by u=x+ 2y1/2, find the income and substitution effects of an increase in the price of x from $5 to $10. (b) Suppose the production function is Q=4K /2L. Find the conditional demands for K and Land the cost function, and show that Shephard's Lemma holds for this cost function (and show only Shephard's Lemma, not the other properties!). (c) The only way to produce 1 unit of output for a particular good is to use 2 machines (K) AND 4 workers (L). Show the production function, the MRTS, and the cost function for this technology, then show this cost function exhibits the 4 properties of all cost functions. Start Date