The government is auctioning off oil leases at two sites. At each site, 150,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes, and Alexis Pickens are bidding for the oil. Government rules state that no bidder can receive more than 45% of the land being auctioned. Cliff has bid $2000 per acre for site 1 land and $1000 per acre for site 2 land. Blake has bid $1800 per acre for site 1 land and $1500 per acre for site 2 land. Alexis has bid $1900 per acre for site 1 land and $1300 per acre for site 2 land. a.    Determine how to maximize the government’s revenue with a transportation model. b.    Use SolverTable to see how changes in the government’s rule on 45% of all land being auctioned affect the optimal revenue. Why can the optimal revenue not decrease if this percentage required increases? Why can the optimal revenue not increase if this percentage required decreases?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.3: Simple Regression Models
Problem 1P: The file P13_01.xlsx contains the monthly number of airline tickets sold by a travel agency. a. Does...
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The government is auctioning off oil leases at two sites. At each site, 150,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes, and Alexis Pickens are bidding for the oil. Government rules state that no bidder can receive more than 45% of the land being auctioned. Cliff has bid $2000 per acre for site 1 land and $1000 per acre for site 2 land. Blake has bid $1800 per acre for site 1 land and $1500 per acre for site 2 land. Alexis has bid $1900 per acre for site 1 land and $1300 per acre for site 2 land.

a.    Determine how to maximize the government’s revenue with a transportation model.

b.    Use SolverTable to see how changes in the government’s rule on 45% of all land being auctioned affect the optimal revenue. Why can the optimal revenue not decrease if this percentage required increases? Why can the optimal revenue not increase if this percentage required decreases?

Get Data (Power
Query)
45
5
Ewing
6 Bames
7
Pickens
1 Oil lease auction
2
3 Bids for sites (dollars/acre)
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
+
Point
O
Data from
Picture
8
9 Max % that can be sold to any bidder
10
11 Number of acres sold to bidders
12
13 Ewing
14 Bames
15 Pickens
16 Total
17
18 Available
19
20 Revenue ($millions)
21
X ✔ fx Oil lease auction
P5-43
A
P5-46
Refresh
All
JUN
20
2000
1800
1900
Properties
Edit Links
135000
0
0
=SUM(B13:815)
150000
P5-52
STS_1
B
Site 1
Site 1
/1000000
STS_2
1000
1500
1300
0.45
135000
0
150000
自
=SUM(C13:C15)
+
Stocks
C
Geography
Site 2
Site 2
=SUM(B13:C13)
=SUM(B14:C14)
=SUM(B15:C15)
=B18+C18
D
Total
2BEYClear
Filter
진
DN
Sort
<=
<=
E
Set Objective:
Clear
O Max
Reapply
Advanced
=$D$18*$C$9
=$D$18*$C$9
=$D$18*$C$9
$B$20
To:
By Changing Variable Cells:
$B$13:$C$15
Min
F
Solver Parameters
50%-
Subject to the Constraints:
$B$16:$C$16 <= $F$13:$F$14
$D$13:$D$15 <= $B$18:$D$18
Text to
Columns
Max allowed
Value Of:
Make Unconstrained Variables Non-Negative
Select a Solving Method:
Simplex LP
0
G
Add
Change
Delete
Reset All
Load/Save
Options
Solving Method
Solart the COC Nonlinear anning for Coluar Drahlame that are month
An
Transcribed Image Text:Get Data (Power Query) 45 5 Ewing 6 Bames 7 Pickens 1 Oil lease auction 2 3 Bids for sites (dollars/acre) 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 + Point O Data from Picture 8 9 Max % that can be sold to any bidder 10 11 Number of acres sold to bidders 12 13 Ewing 14 Bames 15 Pickens 16 Total 17 18 Available 19 20 Revenue ($millions) 21 X ✔ fx Oil lease auction P5-43 A P5-46 Refresh All JUN 20 2000 1800 1900 Properties Edit Links 135000 0 0 =SUM(B13:815) 150000 P5-52 STS_1 B Site 1 Site 1 /1000000 STS_2 1000 1500 1300 0.45 135000 0 150000 自 =SUM(C13:C15) + Stocks C Geography Site 2 Site 2 =SUM(B13:C13) =SUM(B14:C14) =SUM(B15:C15) =B18+C18 D Total 2BEYClear Filter 진 DN Sort <= <= E Set Objective: Clear O Max Reapply Advanced =$D$18*$C$9 =$D$18*$C$9 =$D$18*$C$9 $B$20 To: By Changing Variable Cells: $B$13:$C$15 Min F Solver Parameters 50%- Subject to the Constraints: $B$16:$C$16 <= $F$13:$F$14 $D$13:$D$15 <= $B$18:$D$18 Text to Columns Max allowed Value Of: Make Unconstrained Variables Non-Negative Select a Solving Method: Simplex LP 0 G Add Change Delete Reset All Load/Save Options Solving Method Solart the COC Nonlinear anning for Coluar Drahlame that are month An
Insert
Function
A1
1234
A
1 Oil lease auction
2
AutoSum Recently Financial Logical
Used
3 Bids for sites (dollars/acre)
x ✓ fx
5 Ewing
6 Bames
7 Pickens
8
9
10
11 Number of acres sold to bidders
12
13 Ewing
14 Barnes
15 Pickens
16 Total
Max % that can be sold to any bidder
17
18 Available
19
20 Revenue ($millions)
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
B
Site 1
$2,000
$1,800
$1,900
Site 1
135000
Oil lease auction
0
0
135000
$150,000
V
$473
?
C₁
Site 2
$1,000
$1,500
$1,300
0.45
Site 2
0
135000
0
135000
V
$150,000
A
Text
D
Total
135000
135000
0
$300,000
V
Date &
Time
<=
<=
E
Lookup &
Reference
F
Max allowed
135000
135000
135000
N
Transcribed Image Text:Insert Function A1 1234 A 1 Oil lease auction 2 AutoSum Recently Financial Logical Used 3 Bids for sites (dollars/acre) x ✓ fx 5 Ewing 6 Bames 7 Pickens 8 9 10 11 Number of acres sold to bidders 12 13 Ewing 14 Barnes 15 Pickens 16 Total Max % that can be sold to any bidder 17 18 Available 19 20 Revenue ($millions) 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 B Site 1 $2,000 $1,800 $1,900 Site 1 135000 Oil lease auction 0 0 135000 $150,000 V $473 ? C₁ Site 2 $1,000 $1,500 $1,300 0.45 Site 2 0 135000 0 135000 V $150,000 A Text D Total 135000 135000 0 $300,000 V Date & Time <= <= E Lookup & Reference F Max allowed 135000 135000 135000 N
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