Let the Demand and Supply for Two Linked Products, Say $Q _ { c } d = 12$

Multiple Choice

Let the demand and supply for two linked products, say corn and soy, be the following: $Q _ { c } d = 12$ $- 2 p _ { c } + p _ { s } ; Q _ { c } { } ^ { s } = 4 + p _ { c } ; Q _ { s } { } ^ { d } = 6 - 4 p _ { s } + p _ { c } ; Q _ { s } { } ^ { s } = 4 + p _ { s }$ . The superscript refers to "demand" (d) or "supply" (s) and the subscript refers to corn (c) or soy (s) . What are the equilibrium prices of corn and soy?

A) $p _ { c } = 2 ; p _ { s } = 2$
B) $p _ { c } = 1 ; p _ { s } = 3$
C) $p _ { c } = 3 ; p _ { s } = 1$
D) $p _ { c } = 1 ; p _ { s } = 1$