Suppose that the governors of three midwestern region states have agreed to form an interstate bureau to foster historical awareness, tourism, and commerce. The bureau will have ten seats, and the populations of the states are given in the figure shown below.State A B CPopulation 9,658,480 5,423,704 4,889,485(a) Express each state's population (and the total population) in terms of millions, rounded to three decimal places.State A B C TotalPopulation (millions) (b) Find the standard divisor.(c) Find each state's standard, lower, and upper quotas. (Round all standard quotas to two decimal places.)State A B CStandard Lower Upper

(a) To express each state's population in terms of millions, rounded to three decimal places:

State A: $\frac{9,658,480}{1,000,000} = 9.658$ million State B: $\frac{5,423,704}{1,000,000} = 5.424$ million State C: $\frac{4,889,485}{1,000,000} = 4.889$ million

Total population: $9.658 + 5.424 + 4.889 = 19.971$ million

(b) The standard divisor is found by dividing the total population by the number of seats:

Standard divisor = $\frac{19.971 \text{ million}}{10} = 1.9971 \text{ million}$

(c) To find each state's standard, lower, and upper quotas:

State A: Standard quota = $\frac{9.658}{1.9971} \approx 4.84$ Lower quota = $\lfloor 4.84 \rfloor = 4$ Upper quota = $\lceil 4.84 \rceil = 5$

State B: Standard quota = $\frac{5.424}{1.9971} \approx 2.72$ Lower quota = $\lfloor 2.72 \rfloor = 2$ Upper quota = $\lceil 2.72 \rceil = 3$

State C: Standard quota = $\frac{4.889}{1.9971} \approx 2.45$ Lower quota = $\lfloor 2.45 \rfloor = 2$ Upper quota = $\lceil 2.45 \rceil = 3$

(a) First, express each state's population in terms of millions, rounded to three decimal places.

State A: $\frac{9,658,480}{1,000,000} = 9.658$ million State B: $\frac{5,423,704}{1,000,000} = 5.424$ million State C: $\frac{4,889,485}{1,000,000} = 4.889$ million

Total population: $9.658 + 5.424 + 4.889 = 19.971$ million

So, the table is:

(b) The standard divisor is found by dividing the total population by the number of seats.

Standard divisor = $\frac{19.971}{10} = 1.9971$