The document discusses farming 600 acres of land and calculates the optimal amounts of cotton and pistachios to plant. It determines that planting 312 acres of pistachios and 264 acres of cotton would maximize profits based on the costs and restrictions. It also provides calculations for fertilizer and water needs, herbicide mixing amounts, and labor crews required to prune the trees within a set time frame.

1. 1 acre = 43560 sq ft The area (A) of a right angled triangle = ½ base(b) x altitude(h) 600 acres = 26136000 sq ft . 600 Acres 5808 feet 9000 feet 9972 feet y= -1.55x + 9000 155x + 100y = 900,000 My property Equation

2. I have 600 acres, the bank will lend me $2000 per acre the bank will only lend me 1,200,000.Cotton costs $1000 per acre and pistachios cost $3000 per acre to farm. &quot;x&quot; represents cotton and &quot;y&quot; represents pistachios. 1,200,000 represents the maximum amount of money I can spend. 1000x + 3000y < 1,200,000 How much will the bank lend me and how much am I going to spend?

3. Since the supplier can provide you with 340 units of fertilizer per acre, here is this inequality since I am farming 600 acres. 400y + 300x < 204,000 The water district will give you 1.7 acre-feet of water per acre. It is represented by this inequality. 2x + y < 1,020 Fertilizer and Water

4. Pistachios: y < 360 Cotton: x < 480 This equation represents the total crops: x + y = 600 Pistachios cannot take up more than 60% and cotton cannot take up more than 80% of your land. My Restrictions

5. 4000y + 1500x - 3000y - 1000x= Profit This equation represents my potential profit. This can be simplified by combining like terms. 1000y + 500x = Profit My Profit Equation

6. The points (264, 312) when plugged into the equation: 1000y + 500x = Profit gives you maximum profit. I can also find this point by solving a system of equations. My Maximum Profit Max Profit 3x + 4y = 2040 x+ 3y = 1200 3(-3y + 1200) + 4y =2040 -9y + 3600 + 4y = 2040 -5y = -1560 y = 312

7. The amount of 54% herbicide solution and the amount of 12% solution I would spray over 600 acres would be 125.07 and 93.81 gallons of each mixed together Mixing Herbicide

8. One 3 man crew will take 1316 hours to prune all of the trees. I need to Hire workers All three men are working at different rates. If I want all of the trees pruned in four 54 hour work weeks I will need six 3 man crews of workers James- 1/5 tree in a minute Mark- 1/2 tree in a minute. Jose- 1/3 tree in a minute