Charles is a stay-at-home parent who lives in Philadelphia and provides math tutoring for extra cash. At a wage of $50 per hour, he is willing to tutor 10 hours per week. At $65 per hour, he is willing to tutor 19 hours per week.
Using the midpoint method, the elasticity of Charles's labor supply between the wages of $50 and $65 per hour is approximately , which means that Beth's supply of labor over this wage range is .

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

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

The former chairman of the federal reserve, alan greenspan, used the term "irrational exuberance" in 1996 to describe the high levels of optimism among stock market investors at the time. stock market indexes such as the s& p composite price index were at an all-time high. some commentators believed that the fed should intervene to slow the expansion of the economy. why would central banks want to clamp down when the economy is growing? a. to block the formation of unsustainable speculative asset bubbles. b. to curtail excessive profits in the banking system. c. to prevent inflationary forces from gathering momentum. d. all of the above. e. a and c only.