Capacity expansion problem A state expects the following annual growth in electricity demand during the next ten years.

Year	1	2	3	4	5	6	7	8	9	10
Growth (MW)	2	3	1	5	2	3	5	3	2	1

To meet the demand, capacity must be constructed. The cost of capacity as a function of size is shown in the table below.

Size (MW)	1	2	3	4	5
Cost ($ million)	20	38	55	70	80

The discount rate for time value of money calculations is 10%. Find the optimum capacity expansion plan to minimize the present worth of capital expenditures. Complete the DP stage tables for stages n = 10, 9, and 8.