During the war, the same arms merchant often sells weapons to both sides of the conflict. in this situation, a different price could be offered to each side because there is no danger of resale. suppose a us arms merchant has a monopoly of a special air-to-sea missiles and is willing to sell them to both india and china. india's demand for missiles is p = 64 - 4x and china's is p = 80 - 6y, where p is in millions of dollars. the marginal cost of missiles is mc = 4q, where q = x + y. (a) how many missiles will be sold to each country and what price will be charged to each country? show your work in details. (b) find out the price elasticity of demand for each country at that price and check that the country with less elastic demand is indeed paying a higher price.

Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. the portfolio's beta is 1.25. now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. what would the portfolio's new beta be? do not round your intermediate calculations.

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.

Upon completion of the northwest-corner rule, which source-destination cell is guaranteed to be occupied? a. top-leftb. the cell with the lowest shipping costc. bottom-leftd. top-righte. bottom-right