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The rate at which an infection spreads in a poultry house is given by the equation dp/dt= 0.75 (2500-P). If P = 0 at t = 0.

a Solve the differential equation to determine the expression for the number of poultry (P) infected at any time t.

b. Calculate the time taken for 1500 poultry to become infected. function in a competitive market are​