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Optimization with 2nd order conditions and identifying the properties of functions: 1. Solve the following optimization problems Check 2nd order conditions to confirm that your solution is a maximum. Check if the objective function is concave, convex, quasi-concave or quasi-convex. Explain the economic interpretation of the ratio of FOC. Explain the economic interpretation of the lagrangian multiplier (?)
a. q = K0.3L0.5 subject to 6K + 2L = 384
b. q = 10K0.7L0.1 subject to 10K + 4L = 4100
c. u = x0.6y0.6 given Px = 2, PY= 1 and B = 720
Assume an economy produces only pizza also jeans. If some resources are unique in the construction of either pizzas or jeans.
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Assume that health production is subject to diminishing returns and that each unit of health care employed entails a constant rate of iatrogenic (medically caused) disease. Would product of health function eventually bend downward
Michael spends $10 a month on both Pez dispensers and Superman action. His marginal-utility-to-price ratio for the Pez dispensers is 40.
Assume the price elasticity of demand for heating oil is 0.7 in the long run also 0.2 in the short run.
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