You work for a company that is being accused of monopoly behavior, given its large size. Comparisons are made to the industry standard, where each establishment has, on average, about 16.7 employees. Of course, your company is bigger than that, but you want to provide evidence against the monopoly charges.

a.You've collected data at different times in your company's history when you had different amounts of capital.

In 2010, SRATC = 3.6Q² - 110Q + 4,500

In 2015, SRATC = 2.0Q² - 260Q + 11,000

In 2020, SRATC = 2.8Q² - 270Q + 8,100

Plot these three different SRATC curves (have Q go from 0 to 100 in units of 5; make the maximum on the vertical axis be 6,000), and discuss how (and possibly why) your company has changed since 2010 in terms of its size.

The three given curves have been plotted above. It needs to be noted that the average cost curves over time for the company have shown a reduced minimum point for all the years. This means that the average total costs have reduced over time with an increase in quantity.

b.Make another column labeled "LRATC" that includes three points: 2010's SRATC when Q = 5; 2020's SRATC when Q = 50, and 2015's SRATC when Q = 90. Then, plot these three points on your graph (be sure to show, don't hide, the dots) and add a 2^nd-degree polynomial trendline to represent your company's LRATC.

c.In a more competitive industry with smaller firms, typical LRATC curves follow LRATC = 6.0Q² - 90Q + 3,000. Using all available information in this question, present an argument that could be used to justify your company's size.