A company produces two types of gadgets, Type X and Type

Solution

Statement I: The total production of Type X in 25 days is 120×25=3000 gadgets. The total production of Type Y is 80×25 =2000 gadgets. Therefore, total production is 3000+2000 =5000 gadgets. Sufficient. Statement II: The company’s goal is 6,000 gadgets, but due to maintenance, they only achieve 80% of this goal. Thus, the total production would be 6000×0.8=4800 gadgets. Sufficient. Statement III: For the first 10 days, Type Y's production increases by 25%, making its rate 80×1.25 = 100 gadgets per day for those days. The total production of Type Y in those 10 days is 100×10=1000. For Type X, with a 20% decrease, the new rate is 120×0.8=96 gadgets per day. Thus, in those 10 days, Type X produces 96×10 =960. For the remaining 15 days, Type X and Type Y revert to their original rates. Calculating total production for the month, we find it exceeds previous statements, making this statement sufficient on its own. Sufficient. Since all statements are individually sufficient, the answer is E .