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A company has the Cobb-Douglas production function , where x is the number of units of labor, y is the number of units of capital, and z is the units of production. Suppose labor costs $200 per unit, capital costs $150 per unit, and the total cost of labor and capital is limited to $300,000. Find the number of units of labor and the number of units of capital that maximize production.
Propane
A flammable hydrocarbon gas used as a fuel for heating, cooking, and in some vehicles, also known as liquefied petroleum gas (LPG) when stored under pressure.
Natural Gas
A combustible hydrocarbon mainly made up of methane, utilized for generating heat, cooking food, and producing electricity.
Net Useful Energy Yield
The difference between the energy produced by a system and the energy consumed to create that energy, indicating the efficiency of energy production.
Oil Shale
A sedimentary rock containing organic materials that can be processed to produce shale oil.
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