To compute the total number of units produced on the first day, we need to find the value before the first day's increase of 20%.
Let's assume the number of units produced on the first day is x. Then, on the second day, there is an increase of 20%, resulting in 1.2x units produced. Similarly, on the third day, there is another increase of 20%, resulting in (1.2)*(1.2)x = 1.44x units produced.
Given that the worker produces 1092 units over the three days, we can set up the equation:
x + 1.2x + 1.44x = 1092
Combining like terms, we have:
3.64x = 1092
Dividing both sides of the equation by 3.64, we find:
x = 300
Therefore, the worker produced 300 units on the first day (without any increase).
To compute the total number of units produced on the last day, we need to find the value after the third day's increase of 20%.
We know that on the third day, the worker produced 1.44x units. To find the units produced on the last day, we need to multiply 1.44x by another 20% increase:
(1.44x)*(1.2) = 1.728x
Therefore, the worker produced 1.728 times the units produced on the first day on the last day. Substituting x = 300 into the equation, we find:
1.728 * 300 = 518.4
Hence, the total number of units produced on the last day is 518.4.