PLEASE PLEASE HELP John wants to open his second bakery shop. The business has done well in his first shop because of several corporate accounts that place regular orders for breakfast pastries and sandwich platters for business meetings. To win such customers, John extended credit for 30 days for all bills. He has not bothered to conduct a credit check for any of these customers. He plans to close on the location for his second store at the end of the month. He will need all those accounts to pay on time so that he has enough money to make the rent at the new location. Is John budgeting correctly here?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

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.

Your father's employer was just acquired, and he was given a severance payment of $375,000, which he invested at a 7.5% annual rate. he now plans to retire, and he wants to withdraw $35,000 at the end of each year, starting at the end of this year. how many years will it take to exhaust his funds, i. e., run the account down to zero? a. 22.50 b. 23.63 c. 24.81 d. 26.05 e. 27.35