A positive externality will cause a market to produce:

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?

The gilbert instrument corporation is considering replacing the wood steamer it currently uses to shape guitar sides. the steamer has 6 years of remaining life. if kept,the steamer will have depreciaiton expenses of $650 for five years and $325 for the sixthyear. its current book value is $3,575, and it can be sold on an internet auction site for$4,150 at this time. if the old steamer is not replaced, it can be sold for $800 at the endof its useful life. gilbert is considering purchasing the side steamer 3000, a higher-end steamer, whichcosts $12,000 and has an estimated useful life of 6 years with an estimated salvage value of$1,500. this steamer falls into the macrs 5-year class, so the applicable depreciationrates are 20.00%, 32.00%, 19.20%, 11.52%, 11.52%, and 5.76%. the new steamer is fasterand allows for an output expansion, so sales would rise by $2,000 per year; the newmachine's much greater efficiency would reduce operating expenses by $1,900 per year.to support the greater sales, the new machine would require that inventories increase by$2,900, but accounts payable would simultaneously increase by $700. gilbert's marginalfederal-plus-state tax rate is 40%, and its wacc is 15%.a. should it replace the old steamer? b. npv of replace = $2,083.51

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