A production function expresses the relationship between inputs, such as capital (K) and labor (L), and output (Y). The following equation represents the functional form for a production function: q=f(K, L).

Y= f(K, L)

If a production function exhibits constant returns to scale, this means that if you double the amount of capital and labor used, output is twice its original amount.

Consider the following production function:
f(K, L)= 5K + 7L

Prove that this production function exhibits constant returns to scale by completing the following algebraic equations. Assume that z is a positive number.
Which of the following production functions exhibit constant returns to scale?

a. f(K, L)= 3K^0.4. L^0.5
b. f(K, L)= KL
c. f(K, L)= 7K^0.7 L^0.3

Resources that are valuable but not rare can be categorized asanswers: organizational weaknesses.distinctive competencies.organizational strengths.complementary resources and capabilities.

8. agreement and disagreement among economists suppose that bob, an economist from a university in arizona, and cho, an economist from a public television program, are arguing over saving incentives. the following dialogue shows an excerpt from their debate: cho: i think it's safe to say that, in general, the savings rate of households in today's economy is much lower than it really needs to be to sustain an improvement in living standards. bob: i think a switch from the income tax to a consumption tax would bring growth in living standards. cho: you really think households would change their saving behavior enough in response to this to make a difference? because i don't. the disagreement between these economists is most likely due to . despite their differences, with which proposition are two economists chosen at random most likely to agree? rent ceilings reduce the quantity and quality of available housing. immigrants receive more in government benefits than they contribute in taxes. having a single income tax rate would improve economic performance.

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.