4. An industry has 50 perfectly competitive firms, which have the cost function c(y) = 100 + 0.25y'. There are 1000 consumers, who each have the utility function u = x + yo5 and income M=100. The price of x is 10. The goods can be supplied in fractions of units, so please go up to 3 decimals in your answers. a. Find the SR industry supply function. b. If some weird industrial mishap destroys production of y at all firms simultaneously, how much does utility fall for each consumer? c. Find the price of y in the long run (assuming the industrial mishap has disappeared)