$2.$ Proton Sdn$.$ Bhd$.($M$)$ manufactures two electric cars: model A and model B$.$ To make either car, itneeds assembly shop and paint shop. lt takes $1/40$ of a day to paint model A and $1/60$ of a day to paintmodel B in the paint shop respectively. lt takes $1/50$ of a day to assemble either type of model in theassembly shop. A model A and model B yields profits of RM$300$ and RM$220$ respectively per modelsold.

a$.$ Set up the LP model for the problem consisting the objective and related constraints.

b$.$ Graph the feasible region.

C$.$ How much profit will Proton earns if all produced models are sold?