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Parking Lot Proposal

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by

Lucas Stock

on 28 September 2012

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Transcript of Parking Lot Proposal

Parking Lot Proposal By: Lucas Stock Goal of Proposal To maximize generated profit from parking lot while providing a positive experience for shoppers. Parking Lot Requirements 2000 ≤ e + p ≤ 2400 Employee Parking Spaces Public Parking Spaces Parking Space Graph Feasible Region (150,2250) (150,1850) (200,1800) (240,2160) p ≥ 9e e ≥ 2s + 20d e ≥ 150 e ≥ 110 + 40 e ≥ 2(55) + 20(2) d = 2 s = 55 2000 ≤ e + p -e -e p ≥ 2000 - e e + p ≤ 2400 -e -e p ≤ 2400 - e Constraints p ≥ 2000 - e
p ≤ 2400 - e
p ≥ 9e
e ≥ 150 Variables p: Number of Public Parking Spaces
e: Number of Employee Parking Spaces Money Involved Public Parking Spaces cost $580
Employee Parking Spaces cost $600

Public Parking Spaces make at least $1000 a week
Employee Parking Spaces make at least $100 a week Objective Function #1 Minimize Cost 600e + 580p = C
Minimize C (Cost) 600(150)+580(2250)= $1,395,000
600(240)+580(2160)= $1,396,800
600(200)+580(1800)= $1,164,000
600(150)+580(1850)= $1,163,000 Vertices of Region (150,2250): 150 Employee, 2250 Public

(240,2160): 240 Employee, 2160 Public

(200,1800): 200 Employee, 1800 Public

(150,1850): 150 Employee, 1850 Public Cheapest Solution Employee Parking Spaces Public Parking Spaces Feasible Region (150,1850) Parking Space Graph Cheapest Solution Objective Function #2 Maximize Income 100e + 1000p = I
Maximize I (Weekly Income) 100(150)+1000(2250)= $2,265,000
100(240)+1000(2160)= $2,184,000
100(200)+1000(1800)= $1,820,000
100(150)+1000(1850)= $1,865,000 Most Income Employee Parking Spaces Public Parking Spaces Feasible Region (150,2250) Parking Space Graph Most Income My Proposed Amount of Spaces e = 150
p = 2250 I believe that we should have the minimal amount of employee parking spaces because they are more expensive than public spaces and make significantly less money. If we have the max amount of public spaces we will be maximizing our profit from the parking lot. e = 150
p = 2250 The proposed amount of spaces meets the constraints. p ≥ 2000 - e
p ≤ 2400 - e
p ≥ 9e
e ≥ 150 (2250) ≥ 2000 - (150)
(2250) ≤ 2400 - (150)
(2250) ≥ 9(150)
(150) ≥ 150 Cost of Parking Lot 600(150)+580(2250)= $1,395,000 Weekly Income of Parking Lot $100(150)+$1000(2250)= $2,265,000 Profit $2,265,000 $1,395,000 - $870,000 Within ONE week we'll have already profited from the parking lot, and have made up for the initial cost. Parking Lot Constraints p ≥ 2000 - e
p ≤ 2400 - e
p ≥ 9e
e ≥ 150 $2,265,000 - $1,395,000 = $870,000 $2,184,000 - $1,396,800 = $787,200 $1,820,000 - $1,164,000 = $656,000 $1,865,000 - $1,163,000 = $702,000 Profit Table Profit Week
-$1,395,000 0
$870,000 1
$3,135,000 2
$5,400,000 3
$7,665,000 4
$9,930,000 5
$12,195,000 6
$14,460,000 7
$16,725,000 8
$18,990,000 9
$21,255,000 10
$116,385,000 52 Equation for Profit y = 2,265,000x - 1,395,000 x: Number of Weeks
y: Profit Profit Table (150,2250) (240,2160) (200,1800) (150,1850) Most Profit To help put things in perspective... Proposed Add-ons to Parking Lot 2250 ≥ 1850
2250 ≤ 2250
2250 ≥ 1350
150 ≥ 150 System of Equations 600e + 580p = 1395000
100e + 1000p = 2265000 Solving System Using Elimination 600e + 580p = 1395000
100e + 1000p = 2265000 600e + 580p = 1395000
-6(100e + 1000p = 2265000) 600e + 580p = 1395000
-600e - 6000p = -13590000 + -5420p = -12195000 -5420 -5420 p = 2250 600e + 580(2250) = 1395000 -1305000 -1305000 600e = 90000 600 600 e = 150 ( 150, 2250 ) Solving System Using Substitution 600e + 580p = 1395000
100e + 1000p = 2265000 100e = 2265000 - 1000p -1000p -1000p 100 e = 22650 - 10p 600( 22650 - 10p) + 580p = 1395000 13590000 - 6000p + 580p = 1395000 13590000 - 5420p = 1395000 -13590000 -13590000 -5420p = -12195000 -5420 p = 2250 100e + 1000(2250) = 2265000 -2250000 -2250000 100e =15000 e = 150 ( 150, 2250 ) Solving System Using Graphing 600e + 580p = 1395000
100e + 1000p = 2265000 600e + 580p = 1395000
100e + 1000p = 2265000 600x + 580y = 1395000
100x + 1000y = 2265000 600x + 580y = 1395000 -600x -600x 580y = -600x + 1395000 580 y = (-600/580)x +2405.17 100x + 1000y = 2265000 -100x -100x 1000y = -100x + 2265000 1000 y = (-1/10)x + 2265 y = (-600/580)x +2405.17 y = (-1/10)x + 2265 Public Employee p ≥ 2000 - e p ≤ 2400 - e p ≥ 9e e ≥ 150 Public Employee Employee Public Public Public Employee Employee The cost is only 1.2 % of annual revenue. Proposed Add-ons to Parking Lot Recycled Material Speed Bumps
Solar Powered Lot Lights
Vegetation
Security Cameras
Permeable Pavement Recycled Material Speed Bumps Why? Speed bumps decrease speeds of cars to 5-10 mph. This increases pedestrian safety and reduces accidents within parking lot. Rubber Speed Bumps Cost per Speed Bump: $113.95 Company Website: http://www.trafficsafetystore.com/speed-bumps-humps/rubber-speed-bump Details of Speed Bump
Dimensions are 6' x 1' x 2.25"
Made of 100% Recycled Tires
Are durable and flexible to conform to pavement
Reflective Stripes make it highly visible
Portable and can be rearranged Estimation of Quantity and Cost Solar Powered Lights Why? Lighting allows for increased visibility at night and allows parking lot to be accessible longer which increases revenue. It also helps reduce crime. Cost per Light: $2,500 Estimation of Quantity and Cost Shade Trees Why? Shade trees will enhance the visual appeal of the parking lot and will reduce heat island effect, enhance storm water management, reduce air pollutants, and reduce need for pavement maintenance. Also many people like parking their cars in shaded spots which will bring more shoppers. Cost per Tree: $100 Website: http://www.epa.gov/heatisland/mitigation/trees.htm Estimation of Quantity and Cost Security Cameras Why? Security Cameras will improve safety of parking lot and reduce crime. More shoppers will want to shop at mall if they feel they are in a safe environment. Cost per Camera: $149.00 Company Website: http://www.ezwatch.com/ezbullet-vf-gold-1.html Details of Camera
Indoor/Outdoor
Weatherproof
Night vision for up to 100 feet away
Has one year warranty Estimation of Quantity and Cost EZBullet VF Gold Permeable Pavement Why? Permeable pavement is very environmentally friendly some of the benefits being reduces storm water run off, helps remove pollutants from the water shed, reduces heat island effect, and enhanced visual appeal.
I plan on having the permeable pavement in the actual parking spots, and the street will just be normal pavement. Shade Trees Permeable Pavement Cost per Square foot: $8 - $12 Website: http://www.crwa.org/projects/bmpfactsheets/crwa_permeable_pavers.pdf Estimation of Cost and Quantity Website: http://ea.pomona.edu/wp-content/uploads/Gamm-Final-report-PDF.pdf Solar Lights Total Cost of Proposed Add-on: $1,366,512 Overall Cost of Parking Lot: $2,761,512 Quantity: 60
Cost: $6,837 Quantity: 25
Cost: $62,500 Quantity: 75
Cost: $7,500 Quantity: 25
Cost: $3725 Quantity: 364,800 sq ft
Cost: $2, 918,400 Minus Cost from Original Pavement: $912,000 Cost: $1,286,400 Summary The proposed add-ons will enhance the parking lot's appeal to shoppers and will bring back customers, and increase revenue. The add-ons benefit the environment, while creating a safe cool atmosphere that will create loyal customers. Sources Gamm, C. (2010). A cost-benefit anaylsis of outdoor lighting. Retrieved from http://ea.pomona.edu/wp-content/uploads/Gamm-Final-report-PDF.pdf
Permeable pavers. (2008, September). Retrieved from http://www.crwa.org/projects/bmpfactsheets/crwa_permeable_pavers.pdf
Kurn, D., S. Bretz, B. Huang, and H. Akbari. 1994. The Potential for Reducing Urban Air Temperatures and Energy Consumption through Vegetative Cooling (PDF) (31 pp, 1.76MB). ACEEE Summer Study on Energy Efficiency in Buildings, American Council for an Energy Efficient Economy. Pacific Grove, California.http://www.epa.gov/heatisland/mitigation/trees.htm
The traffic safety store. (2011). Retrieved from http://www.trafficsafetystore.com/speed-bumps-humps/rubber-speed-bump
Cornett, B. (2012). Ez watch. Retrieved from http://www.ezwatch.com/ezbullet-vf-gold-1.html Lucas Stock's Parking Lot Proposal
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