Tina must make a decision about the number of bottles of sports drink and how many cases of water she wants to purchase for her soccer practices. Tina decided to buy four cases of water and 16 bottles of sports drink. As she waited in line to check out, Tina noticed there was a special display offering five cases of water for the price of four. Tina opted to pick up an additional case of water, even though she might not use it until next week. Tina exhibited the economic principle of , because she decided that five cases of water and 16 bottles of sports drink was better than four cases of water and 16 bottles of sports drink.

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

If jobs have been undercosted due to underallocation of manufacturing overhead, then cost of goods sold (cogs) is too low and which of the following corrections must be made? a. decrease cogs for double the amount of the underallocation b. increase cogs for double the amount of the underallocation c. decrease cogs for the amount of the underallocation d. increase cogs for the amount of the underallocation

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.