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Suppose you have 2 consumers in the market with the following demand curves: x1=40-2p and x2=...

Suppose you have 2 consumers in the market with the following demand curves: x1=40-2p and x2= 50-1/2P

a) Draw the inverse demand curve for these two consumers, on the same graph, with x on the horizontal and p on the vertical axis. Do this on the left hand side of the space below, leaving yourself room to add a second graph on the right. Numerically mark both y-intercepts and x-intercepts.

b) Next to the original graph of the individual demand curves, add a second graph on the right that represents the horizontal summation of these two demand curves. What can you say about demand for good x when the price is greater than 20?

c) Algebraically, add your 2 demand curves. Write xm, the market demand, as a function of p, which will be a piecewise function over different intervals of p to reflect what you observed in part b) above.

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