You operate a store that
Cost of 1 kWh per gallon oil oil =30/1.65=$0.055=5.5c/kWh
Hence we have incurred this input cost but cost due to electricity is more
COP=5.5/18.5=0.2972
If the cost of oil is 1.65$ per gallon, the cost to run oil furnance is:
165/ 30 = 55 c/kWh

To reduce heating cost
power output per cent should be < 55 c/kWh
power input cost = 18.5 c/kWh
COP >= 55/18.5 = 2.973
So minimum cop for heat pump is 2.973
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Please help solving (b)
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