Jack Benny can get blood from a stone. If he has x stones, the number of pints of blood he can extract from them is f(x) = 2x1/3. Stones cost Jack $w each. Jack can sell each pint of blood for $p.
(a) How many stones does Jack need to extract y pints of blood? ______.
(b) What is the cost of extracting y pints of blood? ______.
(c) What is Jack’s supply function when stones cost $8 each? y = ______. When stones cost $w each? y = ______.
(d) If Jack has 19 relatives who can also get blood from a stone in the same way, what is the aggregate supply function for blood when stones cost $w each? ______.