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Calculus26 R = 110q - q^2/200
dq/dt = 55 the rate production is increasing and q = 400
Now we differentiate with respect to time -- note d(q^2)/dt = 2q dq/dt
dR/dt = 110dq/dt -q/100 dq/dt
dR/dt = 110(55)-(400/100)(55)
dR/dt = 6050 - 220 = 5830dollars/day