an is considering changing his electricity plan. With his current plan, he pays $0.95$0.95 per kilowatt (kw) of energy usage, regardless of whether the usage is during peak hours or off-peak hours. Ian's average monthly bill is about $125$125, due to the fact that he consumes an average of 131131 kw per month. At least 5050 kw are consumed during peak hours and at least 4545 kw are used during off-peak hours each month. The new energy plan offers to change Ian's rates to $1.05$1.05 per kilowatt during peak hours and $0.79$0.79 per kilowatt during off-peak hours. Ian decides to sign up. Without completely changing his energy usage habits, what is the best way for Ian to consume energy while minimizing his monthly bill on the new plan?
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