PLEASE HELP ASAP! IT IS A QUANTITATIVE QUESTION PLEASE POST A NUMERICAL RESPONSE

Question

PLEASE HELP ASAP!

IT IS A QUANTITATIVE QUESTION

PLEASE POST A NUMERICAL RESPONSE

A company handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five different receiving stations it operates. Given the locations of the receiving stations and the volumes to be shipped daily, determine the location of the disposal center.

Location (x,y)

Volume (tons/day)

(10,5)

26

(4,1)

9

(4,7)

25

(2,6)

30

(8,7)

40

Location (x,y)

Volume (tons/day)

(10,5)

26

(4,1)

9

(4,7)

25

(2,6)

30

(8,7)

40

Explanation / Answer

This is a weighted midpoint problem.

To find the x coordinate, multiply the x value by the tons and then divide by the total tons.

xm = [(10)(26) + (4)(9) + (4)(25) + (2)(30) + (8)(40)] / (26 + 9 + 25 + 30 + 40)

xm = 776/130 = 5.97

ym = [(5(26) + (1)(9) + (7)(25) + (6)(30) + (7)(40)] / (26 + 9 + 25 + 30 + 40)

ym = 774/130 = 5.95

So the optimal location is (5.97, 5.95)

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

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