The plant you are working uses three-phase, 30-MW, 60-Hz power at 6.6 kV, 0.80 pf lagging. Determine 

(1) The size of a three-phase Y-connected capacitor bank that will improve the pf to 0.95 lagging, 

(2) The current drawn from the utility mains with the old pf and the new pf, and 

(3) The simple payback period for recovering the capital cost of the capacitor. Assume that (i) the power loss reduction in the cables is negligible, (ii) the capital cost of capacitors is $40/kVAR installed, (iii) the discount rate is 1% per month, and (iv) the monthly utility tariff is $10/kVA demand + $0.10/kWh energy.