4. Sebastian has the following utility function over consumption today (c1) and consumption tomorrow (c2): U(c1, c2) = ln(c1) + bln(c2) where 0 < b < 1 and ln denotes the natural logarithm Let p1 denote the price of c1 and p2 denote the price of c2. Assume that Sebastian’s income is Y. Derive Sebastian’s Marshallian demand functions for consumption today (c1) and consumption tomorrow (c2). What happens to c1 and c2 as b approaches 0?

The federal act which provided over $7 billion to the epa to protect and promote "green" jobs and a healthier environment is the - national environmental policy act. - resource recovery act.- resource conservation and recovery act.- american recovery and reinvestment act. - clean air act.

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.

Exercise 4-9presented below is information related to martinez corp. for the year 2017.net sales $1,399,500 write-off of inventory due to obsolescence $80,440cost of goods sold 788,200 depreciation expense omitted by accident in 2016 43,600selling expenses 65,800 casualty loss 53,900administrative expenses 53,500 cash dividends declared 43,300dividend revenue 22,100 retained earnings at december 31, 2016 1,042,400interest revenue 7,420 effective tax rate of 34% on all items exercise 4-9 presented below is information relateexercise 4-9 presented below is information relate prepare a multiple-step income statement for 2017. assume that 61,500 shares of common stock are outstanding. (round earnings per share to 2 decimal places, e.g. 1.49.)prepare a separate retained earnings statement for 2017. (list items that increase retained earnings first.)