Farming project old

Created By: Robert Mendez

Finding the Equations Of the line for my farm

Acres Farming:

6,000 Acres

6000 Acres Of Land Bank Willing To Loan $2000 Per Acre

Cotton = $1000 To Farm Per AcrePistachios = $3000 To Farm Per Acre

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 AcreRepresents Max Amount Money Bank Will Lend Me

Fertilizer Inequality: 2,040,000 ≥ 300x + 400yWater Inequality: 10,200 ≥ 2x + y

Fertilizer inequality & Water inequality

Fertilizer Inequality Work:6000 Acres x 340Units = 2,040,000 Units2,040,000 ≥ 300x + 400y^ ^ ^ ^ ^^ ^ ^ ^ Acres of Pistachios^ ^ ^ Units of Fertilizer Required to Grow Pistachios ^ ^ Acres Of Cotton^ Units Of Fertilizer Required To Grow CottonMax Units Of Fertilizer

Fertilizer Supplier Can Provide You With 340 Units Of Fertilizer Per AcreWater 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 acrePistachios 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 Units10,200 ≥ 2x + 1y^ ^^ ^^^ ^^ ^ Acres Of Pistachios^ ^^ Acre-Feet of Water Per Acre of Pistachios^ ^Acres Of Cotton^ Acre-Feet of Water Per Acre of CottonMax Units Of Water

Finding new land that supports new state law

Inequalities and Equations Used To Graph New Polygon:12,000,000 ≥ 1,000x + 3000y2,040,000 ≥ 300x + 400y10,200 ≥ 2x + yx = 0y = 0x + y = 6000x = 4800y = 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

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

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 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

^^^^^^^^ < < < Point With The Most Profit

2640 Cotton & 3120 Pistachios For Max Profit

^^^^^^^^^ < < < < < < < < < < < < < < <

Lines Used To Determine This Point:x + 3y + 12000 & 3x + 4y = 20400

Time to do some mixing!

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

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.

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?

Rate Time

James 1 5

Jose 1 3

Mark 1 2

Total Trees

424,320

424,320

424,320

Total Crews Needed: About 32 Crews