The D & E Groups manufactures two electrical products: Product A and ProductB. both products undergo assembly process of wiring and drilling. Each Product Atakes $3$ hours of wiring and $2$ hours of drilling. Each Product B must go through $2$ hoursof wiring and $1$ hour of drilling. During the next production period, $240$ hours of wiringtime are available, and up to $140$ hours of drilling time may be used. Each Product Asold yields a profit of R$25\mathrm{.}00.$ Each Product B assembled may be sold for a R$15$ profit.I. Formulate and solve this LP production mix situation. $(3)$II$.$ Find the best combination of Product A and Product B that yields the highestprofit using the corner point graphical approach. $(9)2\mathrm{.}2.$ D and E Groups management realizes that it forgot to include two criticalconstraints. Management decides that there should be a minimum number of ProductA produced to fulfil a contract. Also, due to an oversupply of Product B in the precedingperiod, a limit should be placed on the total number of Product B produced$\mathrm{.}2\mathrm{.}2\mathrm{.}1$ If D & E groups decides that at least $20$ Product A should be produced but nomore than $80$ Product B should be produced.I. What would be the optimal solution? $(3)$II$.$ How much slack or surplus is there for each of the four constraints? $(1)2\mathrm{.}2\mathrm{.}2$ If D & E groups decides that at least $30$ Product A should be produced but nomore than $50$ Product B should be produced.I. What would be the optimal solution? $(3)$II$.$ How much slack or surplus is there for each of the four constraints at the optimalsolution?