Answer: 931
Step-by-step explanation:
We can start by finding the total number of bicycles produced over a certain period by integrating the production rate function with respect to time, t. Let's say we want to find the number of bicycles produced over a period of 10 days, starting from day 1. The total number of bicycles produced during this period would be:
∫ (100 + 0.2t² - 1.1t) dt from t = 1 to t = 10
= [100t + (0.2/3)t³ - (1.1/2)t²] from t = 1 to t = 10
= [100(10) + (0.2/3)(10)³ - (1.1/2)(10)²] - [100(1) + (0.2/3)(1)³ - (1.1/2)(1)²]
= [1000 + 33.33 - 55] - [100 + 0.333 - 0.55]
= 913 bicycles
Therefore, the factory produces 913 bicycles over a period of 10 days, starting from day 1.