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1. (40%) Consider a market for wheat and a market for canola. Suppose that two markets interact with each other in the sense that

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1. (40%) Consider a market for wheat and a market for canola. Suppose that two markets interact with each other in the sense that the supply of one crop depends not only on its own price, but also on the price of the other crop. More specifically, when farmers get a higher price for wheat, then they allocate more land to wheat production and less to canola and vice versa. Given this, suppose that the wheat market is described by the following demand/supply equations: Qwheat = 66-3PD wheat Qwheat = 4 + 2PS - Ps wheat canola The market for canola is represented by the following equations: Qanola = 110 5Panola (i) Q canola = canola 6PS - 2PS wheat (14%) Write down the above system of FOUR equations in matrix form. Find the market clearing prices and quantities for both goods using matrix inversion.

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