Suppose labor and capital are variable inputs. The wage rate is $20 per hour, the marginal product of labor is 30 units, the rental rate of capital is $100 per machine hour, and the marginal product of capital is 150 units. If the wage rate declines to $15 per hour, the firm employs more labor and the marginal product of labor declines to 20 units. Assuming the rental rate of capital remains the same, what is the marginal product of capital at the new optimal level of input usage

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In the market for lock washers, a perfectly competitive market, the current equilibrium price is $5 per box. washer king, one of the many producers of washers, has a daily short-run total cost given by tc = 190 + 0.20q + 0.0025q2, where q measures boxes of washers. washer king's corresponding marginal cost is mc = 0.20 + 0.005q. how many boxes of washers should washer king produce per day to maximize profit?

Adog whistle manufacturer's factory was located near a residential area. the manufacturer used the most effective methods for testing its whistles, but it was impossible to completely soundproof the testing area. a breeder of champion show dogs bought some property near the factory and raised and trained her dogs there. although the whistles were too high-pitched to be perceived by human ears, they could be heard by the breeder's dogs. consequently, the dogs often were in a constant state of agitation. in a suit by the breeder against the manufacturer, what is the likely outcome? response - correct a the breeder will prevail on a trespass theory, because the sound waves are entering onto the breeder's property. b the breeder will prevail on a nuisance theory, because the sound of the whistles is a substantial interference with the breeder's use of her land. c the breeder will not prevail, because the sound of the whistles is not a substantial interference with the breeder's use of her land. d the breeder will not prevail, because the manufacturer has acted reasonably in testing its whistles.