### Plot the minimum theoretical operating cost for each day

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A heat pump maintains a dwelling at temperature T when the outside temperature averages 5°C. The heat transfer rate through the walls and roof is 2000 kJ/h per degree of temperature difference between the inside and outside. If electricity costs 8 cents per

(a) determine the minimum theoretical operating cost for each day of operation when T = 20°C.

(b) plot the minimum theoretical operating cost for each day of operation as a function of T ranging from 18 to 23°C.

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