Posted by Mia on .
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 = 310-1x-1/2y
q = 730-1/2x-1/7y
(a) What is the weekly total revenue function R(x,y)?
math (4) -
R(x,y) = xp + yq
x(310-1x-1/2y) + y(730 -1/2x -1/7y)
310x -x^2 -1/2xy + 730y -1/2xy -1/7y^2
= -x^2 -1/7y^2 -xy + 310x + 730y