Neighborinos (12 pt.) homer simpson and ned flanders can both contribute to mowing the grass between their properties. let q denote the total number of minutes spent on mowing in a given week, where qh is the sum of minutes spent mowing by homer and by flanders, respectively homer's demand curve is q for q50 50- pн () for q > 50 flanders' demand curve is 10 -q for q < 20 pr(q) = for q> 20 the marginal cost of mowing is the opportunity cost of time, which will change throughout the problem depending on how busy each neighbor is in a given week a. (3 pt.) calculate the social marginal benefit curve as a function of q. (hint: it's a "kinked" or piecewise-linear curve, so you'll need two equations to describe it: one for smaller values of q and one for larger values of q. you may want to draw a graph.) b. (3 pt.) suppose that the marginal cost of mowing is 70 for each neighbor. what is the socially optimal total amount of mowing, q,? if homer and flanders play a static game, what are the nash equilibrium quant ities q and qf? c. (3 pt.) now suppose the marginal cost is 45 for each neighbor. what is the socially optimal total amount of mowing, q.? from the standpoint of pareto efficiency, does it matter who does the mowing (and if so, which neighbor should do the mowing)? if homer and flanders play a static game, what are the nash equilibrium quantities qf and q? d. (3 pt.) finally, suppose that homer's marginal cost is 20, while flanders's marginal cost is only 5. what is the socially optimal amount q4? from the standpoint of pareto efficiency, does it matter who does the mowing (and if so, which neighbor should do the mowing)? what are the nash equilibrium quantit ies qji and qf?

Precision dyes is analyzing two machines to determine which one it should purchase. the company requires a rate of return of 15 percent and uses straight-line depreciation to a zero book value over the life of its equipment. ignore bonus depreciation. machine a has a cost of $462,000, annual aftertax cash outflows of $46,200, and a four-year life. machine b costs $898,000, has annual aftertax cash outflows of $16,500, and has a seven-year life. whichever machine is purchased will be replaced at the end of its useful life. which machine should the company purchase and how much less is that machine's eac as compared to the other machine's

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e.g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.

Which of the following statements regarding the southern economy at the end of the nineteenth century is accurate? the south was producing as much cotton as it had before the civil war.