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To find out how many carpets will be produced at the increased efficiency level of the machine, you need to follow these steps:
Step 1: Calculate the increased efficiency using the given information. The machine's efficiency will go up by 150%, which means it will be 100% + 150% = 250% of its current efficiency.
Step 2: Convert the percentage to a decimal by dividing it by 100. In this case, 250 / 100 = 2.5.
Step 3: Multiply the current production rate of the machine (20 carpets) by the increased efficiency (2.5) to find the new production rate.
Mathematically, it can be written as:
New production rate = Current production rate * Increased efficiency
New production rate = 20 carpets * 2.5
New production rate = 50 carpets
Therefore, the machine will produce 50 carpets at the increased efficiency level.