Sebastian received a raise this year so his income climbed from $45,000 to $52,000. Last year Sebastian purchased 2 sunglasses. This year he has purchased 7 sunglasses. Assuming that all of the other things remain constant, what type of a good are sunglasses and what type of income elasticity of demand does Sebastian have?

The vaska company buys a patent on january 1, year one, and agrees to pay $100,000 per year for the next five years. the first payment is made immediately, and the payments are made on each january 1 thereafter. if a reasonable annual interest rate is 8 percent, what is the recorded value of the patent? 1. $378,4252. $431,2133. $468,9504. $500,000

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.

The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.,(7,(4,(7,(6,(2,( 2,) for the location of the proposed new central hub, the coordinates should be near: x==) if the shipments from city a double, for the location of the proposed new central hub, the coordinates should be near: x==.926.865.017.21