(Solved): Solve the linear programming problem by the method of corners. MaximizeP=x+2ysubjecttox+y ...

Solve the linear programming problem by the method of corners. $$\begin{array}{l}\text{ Maximize }\mathrm{P}=x+2y\\ \text{ subject to }x+y?4\\ 2x+y?7\\ x?0,y?0\end{array}$$ The maximum is $$P=$$ at $$(x,y)=($$ $$/2$$ Points] TANFIN 123.3 .032 National Business Machines manufactures $$x$$ model A portable printers and $$y$$ model B portable printers. Each model A costs $$\$100$$ to make, and each model B costs $$\$150$$. The profits are $$\$40$$ for each model $$A$$ and $$\$35$$ for each model $$B$$ portable printer. If the total number of portable printers demanded per month does not exceed 2500 and the company has earmarked no more than $$\$600,000/$$ month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit? $$(x,y)=()$$ What is the optimal profit?