Country Workshop manufactures bothfinished and unfinished furniture for the home . The estimated quantities demanded each week of its roll top desks inthe finished and unfinished versions are x and y units whenthe corresponding unit prices arep=200−15x−110yq=160−110x−14ydollars, respectively. What is the weekly total revenue function R(x, y)?

Answer:The weekly total revenue function is [tex]R(x,y)=200x-15x^2-220xy+160y-14y^2[/tex].Step-by-step explanation:Let the estimated quantities demanded each week of its roll top desks in the finished and unfinished versions are x and y units respectively.The unit price of finished furniture is[tex]p=200-15x-110y[/tex]The unit price of unfinished furniture is[tex]q=160-110x-14y[/tex]Total weekly revenue function is[tex]R(x,y)=px+qy[/tex][tex]R(x,y)=(200-15x-110y)x+(160-110x-14y)y[/tex][tex]R(x,y)=200x-15x^2-110xy+160y-110xy-14y^2[/tex]Combine like terms.[tex]R(x,y)=200x-15x^2+(-110xy-110xy)+160y-14y^2[/tex][tex]R(x,y)=200x-15x^2-220xy+160y-14y^2[/tex]Therefore the weekly total revenue function is [tex]R(x,y)=200x-15x^2-220xy+160y-14y^2[/tex].