How to do this question yeah?

i don't know but this is all the information given in the question. that's it, seems expert can't do, so what i can? huhu... please consider the best numerical method to solve this kind of question

emmm i think this question need to do lagrange method, but the y is not available, but it said to propose reasonable no. of bread, can use this, 1hour=1k, 3hour=3k and so on, no. pbread and hour is same. so can find the x...

2. As a Production Executive at the Sunshine Bread factory your main task is to monitor the production of one of its machines. TABLE 2 represents number of hours spent at your factory with number of breads produced in thousands) that could be produced by the machine (output) in one day. You are required to propose reasonable number of breads produced in thousands) for the given time spent. TABLE 2 Time spent (hours) 3 5 6 8 10 12 Number of bread (in thousands) Based on the data in TABLE 2, generate a suitable interpolating polynomial, f(x) of order more than 3. Using the polynomial obtained, estimate the number of breads produced by the machine for time equal to 11.5 hours (the answer must be rounded off to the nearest integer). Assume that the machine operates for 13 hours, plot a graph that depicts the polynomial and discuss the behavior of the machine. Estimate the rate of production by using the polynomial obtained when the production is at 7 hours by using a step size h = 2 hours with TWO (2) different numerical methods. Find the true percent relative error() in each estimate. Select the best numerical method and justify your answer. I (50 marks) 2. As a Production Executive at the Sunshine Bread factory your main task is to monitor the production of one of its machines. TABLE 2 represents number of hours spent at your factory with number of breads produced in thousands) that could be produced by the machine (output) in one day. You are required to propose reasonable number of breads produced in thousands) for the given time spent. TABLE 2 Time spent (hours) 3 5 6 8 10 12 Number of bread (in thousands) Based on the data in TABLE 2, generate a suitable interpolating polynomial, f(x) of order more than 3. Using the polynomial obtained, estimate the number of breads produced by the machine for time equal to 11.5 hours (the answer must be rounded off to the nearest integer). Assume that the machine operates for 13 hours, plot a graph that depicts the polynomial and discuss the behavior of the machine. Estimate the rate of production by using the polynomial obtained when the production is at 7 hours by using a step size h = 2 hours with TWO (2) different numerical methods. Find the true percent relative error() in each estimate. Select the best numerical method and justify your answer. I (50 marks)