(Solved): The monthly energy consumption and peak demand history of a commercial building is shown below for ...

The monthly energy consumption and peak demand history of a commercial building is shown below for two years. 1. For this commercial building, estimate the electric utility bill for the month of September assuming that the average power factor is 75 percent during that month Rate structure: - Customer charge: \( \$ 150 / m \) month - Billed demand charge: \( \$ 10 / \mathrm{kW} \) - Energy charge: - The rate structure includes a power factor clause that states that the billing demand is determined as the actual demand multiplied by the ratio of 95 and the actual average power factor expressed in percent. - The ratchet clause states that no billing demand shall be considered as less than the \( 78 \% \) of the highest on-peak season maximum demand corrected for the power factor previously determined during the 12 months ending with the current month. 2. Determine the cost savings achieved for the considered month if the facility power factor is improved to be at least \( 85 \% \). 3. Find the value of capacitance to be installed for that improvement. 4. If the price of the capacitance is \( \$ 250 / 100 \mu \mathrm{F} \), what is the payback period (recovering period) for this investment ? Assume the same cost saving for the other months of the year.