The Catalog Store has data indicating that, when the price of a CD bookcase is $137, the demand quantity is 56 and the supply quantity is 80. The equilibrium point occurs when the price is $119 and the quantity is 72. Find the linear demand equation p. (Let x be the demand quantity.) Find the linear supply equation p. (Let x be the supply quantity.)
Accepted Solution
A:
Answer:demand: p = -9/8x +200supply: p = 9/4x -43Step-by-step explanation:The 2-point form of the equation for a line can be used as a starting place for writing these equations. For dependent variable p and independent variable x, it will be ... p = (p2 -p1)/(x2 -x1)(x -x1) +p1a) Two points on the demand curve are (x, p) = (56, 137) and (72, 119). Then the equation is ... p = (119 -137)/(72 -56)(x -56) +137 p = -18/16(x -56) +137 p = -9/8x +200__b) Two points on the supply curve are (x, p) = (80, 137) and (72, 119). Then the equation is ... p = (119 -137)/(72 -80)(x -80) +137 p = -18/-8(x -80) +137 p = 9/4x -43