The Widget Co. can produce widgets according to the formula: q = 5K^3/4 L^1/4 where q is the output of widgets, and K, L are the quantities of capital and labor used. a. Are there constant, increasing or decreasing returns to scale in widget production? Explain.
b. Are there, constant, increasing or decreasing marginal products of factors? Explain
c. In the short run, the amount of capital used by company A. is fixed. Derive the short-run cost function. (Note that the short-run cost function will show C as a function of Q, K and the factor prices w and r.)
d. Derive the long-run cost function.

Colter steel has $5,550,000 in assets. temporary current assets $ 3,100,000 permanent current assets 1,605,000 fixed assets 845,000 total assets $ 5,550,000 assume the term structure of interest rates becomes inverted, with short-term rates going to 10 percent and long-term rates 2 percentage points lower than short-term rates. earnings before interest and taxes are $1,170,000. the tax rate is 40 percent earnings after taxes = ?

What would not cause duff beer’s production possibilities curve to expand in the short run? a. improved manufacturing technology b. additional resources c. increased demand

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.