Question

Country Workshop manufactures both

Answer 1

Answer:

The weekly total revenue function is $R(x,y)=200x-15x^2-220xy+160y-14y^2$.

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

$p=200-15x-110y$

The unit price of unfinished furniture is

$q=160-110x-14y$

Total weekly revenue function is

$R(x,y)=px+qy$

$R(x,y)=(200-15x-110y)x+(160-110x-14y)y$

$R(x,y)=200x-15x^2-110xy+160y-110xy-14y^2$

Combine like terms.

$R(x,y)=200x-15x^2+(-110xy-110xy)+160y-14y^2$

$R(x,y)=200x-15x^2-220xy+160y-14y^2$

Therefore the weekly total revenue function is $R(x,y)=200x-15x^2-220xy+160y-14y^2$.