The electrical bill for a facility shows a maximum demand of $3500$kW at a power factor of $0\mathrm{.}8,$ and a consumption figure of $2083$MWh per month. An opportunity is identified where through the use of duty cycling$-$ where the start and stop times of machines were controlled, it was possible to ensure that one machine less would contribute to the maximum demand. This machine displayed a load under test of

$1000$kW at a power factor of $0\mathrm{.}87.$ The billing structure of the site was as follows: $50/$month; $10/$kw$/$month; First $10,000$ kWh$,6$ c$/$kWh; Thereafter $5$c$/$kWh; ratchet clause of $95\%$ for six months on max demand.

What is the annual saving for $2019$ if this opportunity was implemented on the fifth day of March. $($billing monthly$)?$

a$.43,000$

b$.33,000$

c$.50,500$

d$.40,500$