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- 49. Consider the problem of minimizing x+2y subject to the constraint x+y=1. What is the optimal level of x and y? x=? y=? 10. Consider the problem of minimizing 3x+2y subject to the constraint x+y=1. What is the optimal level of x and y? x=? y=?Explain the effects of imposing a constraint in an optimization problem. Give at least one economic example.
- Define the Various Mathematical Implications of Homoskedasticity?The following scenario examines the relationship between marginal and average values. Suppose Lee is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Lee's foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage Game 1 8/10 8/10 2 4/10 12/20 3 2/8 14/28 4 2/4 16/32 5 6/8 22/40 80 80 On the following graph, use the orange points (square symbol) to plot Lee's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Lee's overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. FREE-THROW PERCENTAGE 100 90 80 70 60 50 40 30 20 10 0 0 2 3 GAME Game Foul-Shooting Percentage Average Foul-Shooting Percentage ? You can…The following scenario examines the relationship between marginal and average values. Suppose Jelani is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Jelani's foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage Game 1 8/10 80 2 14/20 3 15/25 4 18/30 5 26/40 FREE-THROW PERCENTAGE On the following graph, use the orange points (square symbol) to plot Jelani's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Jelani's overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 100 90 80 70 60 50 40 30 20 10 0 8/10 6/10 1/5 3/5 8/10 0 2 GAME 3 80 4 5 Game Foul-Shooting Percentage Average Foul-Shooting…
- Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.4. Suppose Hank is shopping for a shirt, and the set of all possible alternatives consists of an American Eagle shirt, a Gap shirt, and a Hathaway shirt. (a) Using the notation from class, specify an example of a choice structure for the choice facing Hank that satisfies the Weak Axiom of Revealed Preference (WARP). Explain why it satisfies WARP. (b) Using the notation from class, specify an example of a choice structure for the choice facing Hank that violates the Weak Axiom of Revealed Preference (WARP). Explain why it violates WARP.2. Consider a small island economy where the government is contemplating imposing a tax on bananas to raise revenue for public projects. The islanders' utility from consuming bananas (B) and coconuts (C) is given by the Cobb-Douglas utility function: U(B, C)=B°C1-a where a = 0.3. (a) Write down the consumer's optimization problem and derive the demand functions for bananas and coconuts. (b) Suppose the initial prices are PB $2 and Pc = = $4, and the consumer's income is I = $100. Calculate the initial quantities of bananas and coconuts consumed. (c) Calculate the compensating variation (CV) and equivalent variation (EV) for a tax rate of t = $0.50. Interpret your results in terms of the impact on consumer welfare. (d) Determine the tax revenue per consumer after the tax is imposed, assuming supply is perfectly elastic so the tax falls entirely on consumers. (e) Compare the impacts on consumer welfare between a flat tax equal to the revenue found in part (d) and the per-unit tax.
- Q.4. Example 1.D.1: Suppose that X = {x,y,z}, B = {{x,y}, {y,z},{x,z}}, C({x,y}_ = {x}, C({y,z}) = {y} and C({x,z})={z} This choice structure satisfies the weak axiom. Nevertheless, we cannot have rationalizing preferences. How do we know if this choice structure satisfies the weak axiom? Given the C({x,y}) = x, C({y,z}), shouldn't C({x,z}) = x? if we have to always make the same choice based on WARP.18. Why could experiments be used to solve the endogeneity problem? [answer in no more than 50 words]If f(k) = 6k0.5, s = 0.1, n = 0.1, and d = 0.2, what is the value of f(k) at equilibrium? A. 6 B. 12 C. 18 D. 24