Please show the followin:g

• Defined Variables (if needed)
• System of Linear Inequalities (if needed)
• Desmos Picture
• List of Valid Corner Points: Please keep decimals exact to one decimal place if needed.
• Full Sentence Conclusion (if needed)

1. Minimize

C = 9x + 6y subject to: 3x + 2y 60

10x + 4y 180 y 24 x 0; y 0

2. Maximize and minimize z = 3x + 4y (18pts total) s.t.

2x + 10y 80 6x + 2y 72 3x + 2y 6 x 0; y 0

3. A contracter builds boathouses in two basic models, the Atlantic and the Pacific. Each Atlantic model requires 1000 ft of framing lumber, 3000 ft3 of concrete and $2000 for advertising. Each Pacific model requires 2000 ft of framing lumber, 3000 ft3 of concrete and $3000 for advertising. Contracts call for using at least 8000 ft of framing lumber, 18000 ft3 of concrete, and $15,000 worth of advertising. If the construction cost for each Atlantic model is $30,000 and the construction cost for each Pacific model is $40,000, how many of each model should be built to minimize construction costs? (19pts total)