An economy has a cobb-douglas production function: y=k? (le) economy has a capital share of a half, a saving rate of 24 percent, a depreciation rate of 3 percent, a rate of population growth of 2 percent, and a rate of labor-augmenting technological change of 1 percent. it is in steady state. a. at what rates do total output, output per worker, and output per effective worker grow? b. solve for capital per effective worker, output per effective worker, and the marginal product of capital. c. does the economy have more or less capital than at the golden rule steady state? how do you know? to achieve the golden rule steady state, does the saving rate need to increase or decrease? d. suppose the change in the saving rate you described in part (c) occurs. during the transition to the golden rule steady state, will the growth rate of output per worker be higher or lower than the rate you derived in part (a)? after the economy reaches its new steady state, will the growth rate of output per worker be higher or lower than the rate you derived in part (a)? explain your answers.

In return for their with optimizing his painting project, the castle servant informed poly and digit that he saw someone dressed as the king leaving behind a trail of crumbs as he walked into the jester's room late last night. poly and digit have finally found the crisp-collecting culprit — it turns out the jester's shoe size and hair color match the clues that were found! in gratitude, poly and digit agree to the servant with his current task of replacing all of the tables and chairs in the castle. his goal is to determine which furniture company should produce the new furniture. he receives information from a company that customizes elegant furniture, and he wants to analyze the company's production process in order to calculate some problems about cost and availability. read the following scenario, and assist poly and digit as they the servant with his calculations. the fit for a king furniture company requires 2020 hours of labor to produce a standard table, and a chair requires 1212 hours of labor. the labor available is 565565 hours per week. the company can produce at most 3535 chairs per week.

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Read the overview below and complete the activities that follow.apartment complexes often look for ways to recruit new tenants and retain current tenants. although apartment complexes offer the tangible benefit of shelter to their tenants, many apartment complexes also offer additional services to tenants to encourage tenants to stay or to support the rent prices. the following scenario identifies the several service gaps of a company that runs an apartment complex as well as solutions for reducing these service gaps.concept review: customers have certain expectations about how a service should be delivered. a service gap occurs when the delivery of a service fails to meet customer expectations. there are four types of service gaps: knowledge gap, standards gap, delivery gap, and the communications gap. it is important for marketers to identify these gaps and develop strategies for minimizing them.match the example or solution to the appropriate service gap category.1. wait for repairs 5. train employees well2. understand expectations 6. incentives for tenants3. do not overpromise 7. family movie night4. empower employees 8. delayed lawn careservice gap example solutionknowledge gap standards gap delivery gap communication gap