Minimizing Cost for Given Level of Output: Algebra-Based Solution

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This video show how a firm selects inputs (labor and capital) to produce a given level of output (e.g., 500 units) to minimize production cost.
No calculus required.
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That was cool! I love the way you solved! But to the second problem, why could we just do the first method?

christinebrun
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How to cost minimizes of the out put level of this equation 150+q2-10q

mogessetito