1 A power company faces demands during both peak and off-peak times. If a price of p1 dollars per kilowatt-hour is charged during the peak time, customers will demand 60 

0.5 p1 kwh of power. If a price of p2 dollars is charged during the off-peak time, then customers will demand 40 

p2 kwh. The power company must have sufficient capacity to meet demand during both the peak and off-peak times. It costs $10 per day to maintain each kilowatt-hour of capacity.

Determine how the power company can maximize daily revenues less operating costs.