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

question 69

Multiple Choice

Let the demand and supply for two linked products, say corn and soy, be the following: $Q _ { c } { } ^ { d } = 12$ $- 2 p _ { c } + p _ { s } ; Q _ { c } { } ^ { s } = 4 + p _ { c } ; Q _ { s } ^ { d } = 6 - 4 p _ { s } + p _ { c } ; Q _ { c } { } ^ { s } = 4 + p _ { s }$ . The superscript refers to "demand" (d) or "supply" (s) and the subscript refers to corn (c) or soy (s) . Now, suppose that the demand for corn shifts to $Q _ { c } { } ^ { d } = 18 - 2 p _ { c } + p _ { s }$ . If the price of soy is free to adjust in response to this shift, what are the new equilibrium prices of corn and soy?

• A) \(p _ { c } = 5.14 ; p _ { s } = 1.43\)
• B) \(p _ { c } = 6.20 ; p _ { s } = 2.15\)
• C) \(p _ { c } = 2.50 ; p _ { s } = 2.50\)
• D) \(p _ { c } = 4.35 ; p _ { s } = 2.00\)

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Definitions:

Line Structure

A simplified representation of a chemical structure using lines to denote chemical bonds and avoiding explicit representation of carbon and hydrogen atoms.

Butanoic Acid

A carboxylic acid with the formula C4H8O2, also known as butyric acid, with a characteristic unpleasant smell, used in the manufacturing of various esters.

Propanoic Acid

A naturally occurring carboxylic acid with the formula C3H6O2, commonly used as a food preservative.

Valeric Acid

An organic compound with the formula C5H10O2, known for its unpleasant odor, used in the synthesis of esters for fragrance or flavoring.