Santa Cruz Bottling is a manufacturer of organic soft drinks on the coast of cen

Question

Santa Cruz Bottling is a manufacturer of organic soft drinks on the coast of central California. Its products are enjoying a growing reputation and increased demand throughout the American Southwest. Because of the high cost of transporting soft drinks, they are considering a new plant to serve the states of New Mexico and Arizona. A key concern in their search for a new location is the resultant transportation costs to serve their key markets. Following is a list of cities where their main wholesale customers are located along with estimated annual demand in cases of product for each. CITY Phoenix Tucson Albuquerque Santa Fe NUMBER OF CASES 22.500 18,000 26,000 14,500 X-COORDINATES y-COORDINATES 270 370 820 870 270 145 470 535 a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal place.)

Explanation / Answer

Solution:

Using the centroid method, the coordinates of the best location for the new bottling plant is determined as below:

Cx = [(270 x 22500) + (370 x 18000) + (820 x 26000) + (870 x 14500)] / (22500 + 18000 + 26000 + 14500)

Cx = 46670000 / 81000

Cx = 576.2

Cy = [(270 x 22500) + (145 x 18000) + (470 x 26000) + (535 x 14500)] / (22500 + 18000 + 26000 + 14500)

Cy = 28662500 / 81000

Cy = 353.9

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.