Question

Determine the center of gravity location for a company that wants to serve customers located in Chicago, Detroit, Indianapolis, and Cincinnati. Market Latitude Longitude Population in Matrix Chicago 41.85 87.65 3,850,000 Detroit 42.33 83.05 891,100 Indianapolis 39.77 86.15 828,300 Cincinnati 39.14 84.48 283,300

Answer 1

41.49 and 86.58

Step-by-step explanation:

The computation of the center of gravity location for a company is shown below:

For latitude

= (41.85 × 3,850,000 + 42.33 × 891,100 + 39.77 × 828,300 + 39.14 × 283,300) ÷ (3,850,000 + 891,100 + 828,300 + 283,300)

= (161,122,500 + 37,720,263 + 32,941,491 + 11,088,362) ÷ (5,852,700)

= 41.49

For longitude

= (87.65 × 3,850,000 + 83.05 × 891,100 + 86.15 × 828,300 + 84.48 × 283,300) ÷ (3,850,000 + 891,100 + 828,300 + 283,300)

= (337,452,500 + 7,4005,855 + 71,358,045 + 23,933,184) ÷ (5,852,700)

= 86.58