Farming project

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Farming project

  1. 1. Created By: Robert Mendez
  2. 2. Finding the Equations Of the line for my farm Acres Farming: 6,000 Acres
  3. 3. <ul><li>6000 Acres Of Land Bank Willing To Loan $2000 Per Acre </li></ul><ul><li>Cotton = $1000 To Farm Per Acre Pistachios = $3000 To Farm Per Acre </li></ul>Profit Equation Explanation! Inequality For How Much Bank Will Lend Me: 12,000,000 ≥ (1,000x + 3,000y)  Total Price For Everything ^ ^ ^ ^ ^ ^ ^ ^ ^ Amount Of Acres of Pistachios ^ ^ ^ Amount Pistachios Cost Per Acre ^ ^ Amount Of Acres Of Cotton ^ Amount Cotton Cost Per Acre Represents Max Amount Money Bank Will Lend Me
  4. 4. <ul><li>Fertilizer Inequality: 2,040,000 ≥ 300x + 400y </li></ul><ul><li>Water Inequality: 10,200 ≥ 2x + y </li></ul>Fertilizer inequality & Water inequality Fertilizer Inequality Work: 6000 Acres x 340Units = 2,040,000 Units 2,040,000 ≥ 300x + 400y ^ ^ ^ ^ ^ ^ ^ ^ ^ Acres of Pistachios ^ ^ ^ Units of Fertilizer Required to Grow Pistachios ^ ^ Acres Of Cotton ^ Units Of Fertilizer Required To Grow Cotton Max Units Of Fertilizer   Fertilizer Supplier Can Provide You With 340 Units Of Fertilizer Per Acre Water District Will Allot You 1.7 Acre-Feet Of Water Per Acre Cotton requires 300 units of fertilizer per acre and 2 acre-feet of water per acre Pistachios take 400 units of fertilizer per acre and 1 acre-foot of water per acre Water Inequality Work: 6000 Acres x 1.7 Acre Ft. Of Water = 10,200 Units 10,200 ≥ 2x + 1y ^ ^^ ^^ ^ ^^ ^ Acres Of Pistachios ^ ^^ Acre-Feet of Water Per Acre of Pistachios ^ ^Acres Of Cotton ^ Acre-Feet of Water Per Acre of Cotton Max Units Of Water
  5. 5. Finding new land that supports new state law Inequalities and Equations Used To Graph New Polygon: 12,000,000 ≥ 1,000x + 3000y 2,040,000 ≥ 300x + 400y 10,200 ≥ 2x + y x = 0 y = 0 x + y = 6000 x = 4800 y = 3600   Because of the fact that you will be “changing” an existing piece of land, you will be required to adhere to a new state law that states that pistachios cannot take up more than 60%  and cotton cannot take up more than 80% of your land. New Equations That Represent This State Law: x = 4800 ( For Cotton) y =3600 ( For Pistachios) New Farm Land
  6. 6. finding profit equation Profit Equation: 1,500x + 4,000y – 1,000x – 3,000y = Profit ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ Total Profit ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ Acres Of Pistachios ^ ^ ^ ^ ^ ^ ^ ^ ^ Price Per Acre Of Pistachios ^ ^ ^ ^ ^ ^ ^ ^ Subtracting Because You Are Losing Money ^ ^ ^ ^ ^ ^ ^ Acres Of Cotton ^ ^ ^ ^ ^ ^ Price Per Acre Of Cotton ^ ^ ^ ^ ^ Subtracting Because You Are Losing Money ^ ^ ^ ^ Acres Of Pistchios ^ ^ ^ Amount Of Profit For Pistachios Per Acre ^ ^ Acres Of Cotton ^ Amount Of Profit For Cotton Per Acre Simplified Version: 500x + 1,000y = Profit
  7. 7. Finding maximum profit using vertices Vertices: (0,3600) #1 (1200,3600) #2 (2640,3120) #3 (3600,2400) #4 (4200,1800) #5 (0,0) #6 (4800,600) #7 (4800,0) #8  ^ ^ ^ ^ ^ ^ ^ ^ < < <  Point With The Most Profit 2640 Cotton & 3120 Pistachios For Max Profit  ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < < < <  Lines Used To Determine This Point: x + 3y + 12000 & 3x + 4y = 20400 Point 1 3,600,000 Point 2 4,200,000 Point 3 4,440,000 Point 4 4,200,000 Point 5 3,900,000 Point 6 0 Point 7 3,000,000 Point 8 2,400,000
  8. 8. Time to do some mixing! Equation For Gallons Needed: .54x - .12x +260.256 = 787.968 .42x + 260.256= 787.968 .42x = 527.712 x = 1,256.45714 In conclusion I will have to need approximately 1,256 gallons of herbicide mixed with 54% and 12% glysophate in order to achieve a mixture that is 2,188.8 gallons and 36% glysophate. Total Gallons % Glysophate Pure Glysophate Solution A x 54% .54x Solution B 2,188.8 - x 12% -.12x + 260.256 Mixture 2,188.8 36% 787.968
  9. 9. Time to hire some workers!   James can prune a tree in 5 minutes, Jose can prune the tree in 3 minutes and Mark can prune a tree in 2 minutes.  If you have 136 trees per acre, how long will it take them to prune all the trees? Does this seem reasonable?  Why? How many 3 man crews (working at the same rate) would you need to hire in order to get the work done in four 54-hour work weeks? Total Crews Needed: About 32 Crews Rate Time James 1 5 Jose 1 3 Mark 1 2 424,320 424,320 424,320 Total Trees

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