Afirms production is represented by the following cobb-douglas function: = 2 1 3 2 3. the rental rate, r, of capital is given by $200 and the price of labor is $100. a. for a given level of output, what should be the ratio of capital to labor in order to minimize costs? b. how much capital and labor should be used to produce those 200 units? c. what is the minimum cost of producing 200 units? d. what is the minimum cost of producing 350 units? e. does this production function exhibit increasing, decreasing, or constant returns to scale? answer based on the cost calculations in parts c and d.

You and your new australian bride matilda, are applying for a loan and are required to submit a balance sheet with your net worth. you own a 2008 toyota camry that you bought last month for $9,995. the kelly blue book value for this car is $13,995. you owe $8,150 on the car loan for the camry. you pay off your visa credit card every month and have not paid any credit card interest this year. the current visa credit card balance is $3,522, and the next statement is due in 15 days. you have a student loan balance of $6,500. you presently have $425 in your checking account and $1,540 in your savings account. you own 100 shares of ibm stock that you purchased for $85.50 per share. one share of ibm is now selling for $158.42. you own computers and other electronics that you purchased for $4,100 but could probably sell today on e-bay for $1,800. your gross income is $80,000 per year. what is your current net worth? (see wb ch. 2 example 2.3)

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?

Shawn received an e-mail offering a great deal on music, movie, and game downloads. he has never heard of the company, and the e-mail address and company name do not match. what should shawn do?