$1\mathrm{.}5.$ Consider the energy and price data for various primary and secondary materials $($Table $1).$ Primary refers to processing and cost of raw materials, secondary refers to processing and cost of recycled materials. $($More information in Templeman Ch $14).$ The main unit of the coffee machine contains $0\mathrm{.}20$ kg of steel, $0\mathrm{.}10$ kg of wrought aluminum, $0\mathrm{.}12$ kg of copper, $0\mathrm{.}70$ kg of PP $($polypropylene$),$ and $0\mathrm{.}28$ kg of glass, with a total mass of $1\mathrm{.}40$ kg $.($It also contains small amounts of rubber and PVC$,$ some ceramics, and some solder; ignore items not listed in the table above for brevity.$)(20$ points$)$

$($a$)$ For commercial coffee making machine, determine the total potential recoverable value of the materials, and give a range for your answer.

$($b$)$ If labor costs $\backslash (\backslash$$ $15/\backslash )$ hour, plot the profit vs disassembly time $($in seconds$)$ and identify when it is no longer profitable.

$($c$)$ How much reduction in energy does recycling offer compared to the 'virgin' production of the five materials listed in Table $1($as a percentage$)?$

$($d$)$ Now consider adding the cost savings of saving energy to the profit

consideration. Add the value of saved energy from recycling the materials to the 'secondary' material price; calculate and plot the impact of energy price $($ x $-$axis as energy cost in $\backslash (\backslash$$ $/\backslash$mathrm$\{$kWh$\}\backslash ))$ to increase the available disassembly time up to $120$ seconds.

Table $1$: Energy and price data for coffee maker materials

GER, gross energy requirements.