Country Workshop manufactures both finished and unfinished furniture for the home. The estimated quantities demanded each week of its rolltop desks in the finished and unfinished versions are x and y units when the corresponding unit prices, in dollars, are described, respectively, in the following equations.

p = 200-1/5x-1/10y

q = 15-1/10x-1/4y
For the weekly total revenue function R(x, y), compute the values of R listed below using the given unit prices.
R(110, 69) = ?
R(61, 116) = ?

1 answer

R(x , y) = 200x -1/5x^2 -1/10xy+ 15y - 1/10xy -1/4y^2

200x -1/5x^2 -1/5xy + 15y-1/4y^2

R(110, 69) = ? 17906.75

R(61, 116) = ?8416.60