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].
