1.

The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.

City	Map Coordinates (x,y)	Shipping Load
A	(5,12)	5
B	(6,9)	10
C	(5,9)	15
D	(9,4)	5
E	(6,7)	15
F	(4,2)	10
G	(3,5)	6

a) For the location of the proposed new central hub, the coordinates should be near:

x =

nothing

(round your response to two decimal places).

y =

nothing

(round your response to two decimal places).

b) If the shipments from city A

triple,

for the location of the proposed new central hub, the coordinates should be near:

x =

nothing

(round your response to two decimal places).

y =

nothing

(round your response to two decimal places).

2.

George Kyparisis makes bowling balls in his Miami plant. With recent increases in his costs, he has a newfound interest in efficiency. George is interested in determining the productivity of his organization. He would like to know if his organization is maintaining the manufacturing average of a 3% increase in productivity. He has the following data representing a month from last year and an equivalent month this year:

	Last Year	Now
Units Produced	1,200	1,200
Labor (hours)	300	275
Resin (pounds)	55	48
Capital Invested ($)	10,000	12,000
Energy (BTU)	3,000	2,850

The productivity change for each of the inputs (Labor, Resin, Capital, and Energy) is:

Labor Productivity Change =

nothing%

(enter your response as a percentage rounded to two decimal places and include a minus sign if necessary).Resin Productivity Change =

nothing%

(enter your response as a percentage rounded to two decimal places and include a minus sign if necessary).Capital Invested Productivity Change =

nothing%

(enter your response as a percentage rounded to two decimal places and include a minus sign if necessary).Energy Productivity Change =

nothing%

(enter your response as a percentage rounded to two decimal places and include a minus sign if necessary).