Problem

Recall the modelfor Paul’s and Bob’s cafes, where x(t) is Paul’s daily profit, y(t) is Bob...

Recall the model

for Paul’s and Bob’s cafes, where x(t) is Paul’s daily profit, y(t) is Bob’s daily profit, and a, b, c, and d are parameters governing how the daily profit of each store affects the other. In Exercise, different choices of the parameters a, b, c, and d are specified. For each exercise write a brief paragraph describing the interaction between the stores, given the specified parameter values. [For example, suppose a = 1, c = -1, and b = d = 0. If Paul’s store is making a profit (x > 0), then Paul’s profit increases more quickly (because ax > 0). However, if Paul makes a profit, then Bob’s profits suffer (because cx<0). Since b = d = 0, Bob’s current profits have no impact on his or Paul’s future profits.]

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Solutions For Problems in Chapter 3.1