Question: Without setting r and h to particular values, find the equilibrium algebraically. Does the equilibrium get larger when h gets larger? Does it get larger

Without setting r and h to particular values, find the equilibrium algebraically. Does the equilibrium get larger when h gets larger? Does it get larger when r gets larger? If the answers seem odd (as they should), look at a cobweb diagram to try to figure out why.
A lab is growing and harvesting a culture of valuable bacteria described by the discrete-time dynamical system
bt+1 = rbt - h.
The bacteria have per capita production r, and h bacteria are harvested each generation.

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