A region has 7 million workers. There are two cities A and B. How utility varies with population in each city is described in the table below.

Workers (millions)	0.5	1	1.5	2	2.5	3	3.5	4	4.5	5
Utility ($) in City A	80	94	105	115	120	115	108	100	90	75
Utility ($) in City B	80	92	102	110	108	100	88	75	62	48

(a) Draw the two utility curves for cities A and B in a single diagram.

(b) In equilibrium, how many workers are in city A and how many in city B? What is the utility level?

(c) A technological innovation in city B greatly increased worker productivity and earnings in the city. This increased utility by $20 at city B for every population level. Over time, this region will reach a new equilibrium. Now how many workers are in city A and how many in city B? What is the utility level?

No need to answer part a