1. The saw near me on River Road can convert logs into lumber and plywood at the rate of 400 units per week. 100 units of lumber and 150 units of plywood are already pre-sold to Home Depot. Profit is $20/unit for the lumber and $$30/unit for plywood. How many units of each should be produced to maximize their profit (Maximizing Problem).
2. Nutrition is always an issue in the United States. Suppose it takes 12 units of carbohydrates and 6 units of protein to satisfy my weekly nutrition requirement. Boiled ham contains 2 units of carbohydrates and 2 units of protein per pound, and costs $3.50/lb. Cheese contains 3 units of carbohydrates and 1 unit of protein per poundand costs$4.60/lb. How many pounds of each are needed to minimize costs and still meet the minimum nutrition requirement? (Minimizing Problem).
3. Solve the following:
x - 5y = 4
y = 7 - 2x
4. Solve the following:
x + 2y = 2
4x + 4y = 5