13. The following table gives the map coordinates and the shipping loads for a s
ID: 391575 • Letter: 1
Question
13. 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
(x,y)
Shipping Load
Upper AA
(44,1111)
44
Upper BB
(77,99)
1010
Upper CC
(55,99)
1515
Upper DD
(88,44)
66
Upper EE
(77,99)
1414
Upper FF
(22,11)
1010
Upper GG
(33,77)
66
a) For the location of the proposed new central hub, the coordinates should be near:
x =______
(round your response to two decimal places).
y =_______
(round your response to two decimal places).
b) If the shipments from city A
doubledouble,
for the location of the proposed new central hub, the coordinates should be near:
x =_______
(round your response to two decimal places).
y =_____
(round your response to two decimal places).
14.
Ken Gilbert owns the Knoxville Warriors, a minor league baseball team in Tennessee. He wishes to move the Warriors south, to either Mobile (Alabama) or Jackson(Mississippi). The table below gives the factors that Ken thinks are important, their weights, and the scores for Mobile and Jackson.
Factor
Weight
MobileMobile
JacksonJackson
Incentive
0.400.40
7575
6565
Player satisfaction
0.300.30
2020
5555
Sports interest
0.200.20
4040
8585
Size of city
0.100.10
7070
3535
a) Based on the given information, the best location for the Warriors to relocate to is
Mobile
Jackson
, with a total weighted score of
nothing.
(Enter your response rounded to two decimal places.)
b)
JacksonJackson
just raised its incentive package, and the new score is
8585.
Why doesn't this impact your decision in part (a)?
A.
Even if the score is
8585,
JacksonJackson's
total weighted score drops to
5656,
just ahead of
MobileMobile.
B.
Because
JacksonJackson
is already the better site.
C.
Even if the score is
8585,
JacksonJackson
will stay as the second choice.
15.
Chuck Sox makes wooden boxes in which to ship motorcycles. Chuck and his three employees invest a total of
30
hours per day making the
400
boxes.
a) Their productivity =_______boxes/hour (round your response to two decimal places).
Chuck and his employees have discussed redesigning the process to improve efficiency. Suppose they can increase the rate to
600
boxes per day.
b) Their new productivity =_________boxes/hour (round your response to two decimal places).
c) The unit increase in productivity is _______boxes/hour (round your response to two decimal places).
d) The percentage
LOADING...
increase in productivity is ________%
(enter your response as a percentage rounded to two decimal places).
16.
In December, General Motors produced
6 comma 6006,600
customized vans at its plant in Detroit. The labor productivity at this plant is known to have been
0.120.12
vans per labor hour during that month.
340340
laborers were employed at the plant that month.
a) In the month of December the average number of hours worked per laborer =_______hours/laborer (round your response to one decimal place).
b) If productivity can be increased to
0.150.15
vans per hour, the average number of hours worked per laborer =________hours/laborer (round your response to one decimalplace).
City
Map Coordinates(x,y)
Shipping Load
Upper AA
(44,1111)
44
Upper BB
(77,99)
1010
Upper CC
(55,99)
1515
Upper DD
(88,44)
66
Upper EE
(77,99)
1414
Upper FF
(22,11)
1010
Upper GG
(33,77)
66
Explanation / Answer
13)
coordinate value = SUMTOTAL (Load*Coordinate)/SUM(Load)
a) x = (44*44 + 1010*77 + 1515*55 + 66*88 + 1414*77 + 1010*22 + 66*33)/(44+1010+1515+66+1414+1010+66) = 58.95
y = (44*1111 + 1010*99 + 1515*99 + 66*44 + 1414*99 + 1010*11 + 66*77)/(44+1010+1515+66+1414+1010+66) = 89.35
b) Ship load from A is doubled to 88
x = (88*44 + 1010*77 + 1515*55 + 66*88 + 1414*77 + 1010*22 + 66*33)/(88+1010+1515+66+1414+1010+66) = 58.82
y = (88*1111 + 1010*99 + 1515*99 + 66*44 + 1414*99 + 1010*11 + 66*77)/(88+1010+1515+66+1414+1010+66) = 98.05
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