Assume England and Mauritania can both produce grain and dates, and that the only limited resource is the farming labor force, meaning that land, water, and all other resources are plentiful in both countries. Each farmer in England can produce 10 t of grain or 5 t of dates in a season. Each farmer in Mauritania can also produce 10 t of grain or 25 t of dates. Please answer the four questions.

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Ummit record company is negotiating with two banks for a $157,000 loan. fidelity bank requires a compensating balance of 24 percent, discounts the loan, and wants to be paid back in four quarterly payments. southwest bank requires a compensating balance of 12 percent, does not discount the loan, but wants to be paid back in 12 monthly installments. the stated rate for both banks is 9 percent. compensating balances will be subtracted from the $157,000 in determining the available funds in part a. a-1. calculate the effective interest rate for fidelity bank and southwest bank. (do not round intermediate calculations. input your answers as a percent rounded to 2 decimal places.) a-2. which loan should summit accept? southwest bank fidelity bank b. recompute the effective cost of interest, assuming that summit ordinarily maintains $37,680 at each bank in deposits that will serve as compensating balances

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.