The manufacturer should be involved in the collection of used products under product take-back regulation issued by the government. Research on environmental regulation is not uncommon, but with collection rate constraint consideration has received limited attention. Therefore, we use the collection rate as a decision variable and analyze the effect of constraint on the remanufacturing strategies. Research results show that the manufacturer adopts the maximum (minimum) collection rate when the inverse operating cost falls on the two opposite ends of the spectrum. Otherwise, combinations of inverse operating cost and new product manufacturing cost lead to the optimal solutions. In addition, we use Apple company as the case to verify the proposed model through real data. Numerical results show the robustness and applicability of the proposed model.