Case Study 1: Production of Road Rollers (AP)

A road roller, often called a roller compactor or just a roller, is an engineering vehicle used to compact soil, gravel, concrete, or asphalt in the construction of roads and foundations. Similar machines are also used in landfills or agriculture. Past records of a road roller manufacturing company show that the number of products produced each year forms an Arithmetic Progression (AP). The company produced 270 road rollers in the $4^{\text{th}}$ year and 510 in the $10^{\text{th}}$ year.

Based on the information given above, answer the following questions:

What was the company's production in the $1^{\text{st}}$ year?

What was the company's production in the $8^{\text{th}}$ year?

What was the company's total production of the first 6 years?

Find the ratio of $2^{\text{nd}}$ year's production to $8^{\text{th}}$ year's production.