Question

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)?


(b) Find the domain of the function R(x,y).
p= ?
q=?

Answer 1

p = 310-1x-1/2y

q = 730-1/2x-1/7y
(a) What is the weekly total revenue function R(x,y) = xp + yq
310x - 1x^2 - 1/2xy + 750y -1/2xy -1/7y^2
-1x^2 -1/7y^2 + 310x -xy + 750y


(b) Find the domain of the function R(x,y).
p= ? x=>0
q=? y =>0

Answer 2

-1x^2 -1/7y^2 + 310x -xy + 730y