Problem $1$

Consider the following complex manufacturing system with given scrap rates $P_i$ and the manufacturing cost per unit $C_i$ for each stage i$.$ Determine:

a$)$ Yield of the complete system.

b$)$ Cost per good unit.

c$)$ If $1000$ good units are produced, what should be the number of raw material units to start with?

d$)$ If you want to sell each unit with a $25\%$ profit, what should be selling price?

$\backslash$table$[[$Stage$,i,1,2,3,4,5,6,7,8,9,10],[P_i,0\mathrm{.}01,0\mathrm{.}02,0\mathrm{.}03,0\mathrm{.}01,0\mathrm{.}02,0\mathrm{.}03,0\mathrm{.}01,0\mathrm{.}02,0\mathrm{.}03,0\mathrm{.}02],[C_i,5,8,10,4,6,10,5,8,3,6]]$