Determine the following for the scenario: Suppose that for a certain company, the price-demand equation is p = 100 – 0.5x and the weekly cost function for manufacturing x units per week is C(x) = 2000 + 10x. %3D %3D a) Write the profit function. b) Find the rate of change of profit given that production output is currently 100 units, and the production is increasing at a rate of 20 units per week.

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