The above wall does not meet the required minimum R$-$value by the U$.$S$.$ Climate zone map. The owner adds a $2$ air space between the brick layers, an additional $2$ of XEPS, and one layer of gypsum board with $5$ thickness, and also reduces the size of the window to $50\%$ of the original size with an overall $$3000$ renovation cost. How long would be his pay pack time if the house is heated with electricity and it is $8$ cents per kW$-$hr$?($r gypsum board $=0\mathrm{.}6,$ r air $=5$ and $1$ W$=3\mathrm{.}412$ BTU$/$hr$)$ Wall assembly