Minimum cost with Leontief production technology Let the production function be given by =min{2K,3L}. For this production technology, the cost minimizing input bundle is obtained by the condition 2K=3L. Let the rental rate be r=1, and the wage rate be =1. (a) Find the least cost of producing =60, and =120. (b) Find the least cost of producing =60, and =120, when the rental rate is changed to r=2, and the wage rate be =1. (c) Is there any substitution of inputs due to change in the per unit input costs? Why?

Which of the following pairs is most similar to each other? a. barter goods and fiat money b. digital money and barter goods c. fiat money and digital money d. commodity money and digital money

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

Selected t-account balances for bloomfield company are shown below as of january 31, which reflect its accounting adjustments. the firm uses a calendar-year accounting period, but prepares monthly accounting adjustments.suppliesjan. 31 bal. 1,800 1,800 jan. 31 bal.supplies expensejan. 31 bal. 1,920 1,148 jan. 31 bal.prepaid insurancejan. 31 bal. 1,148 1,148 jan. 31 bal.insurance expensejan. 31 bal. 164 164 jan. 31 bal.wages payablejan. 31 bal. 1,400 1,400 jan. 31 bal.wages expensejan. 31 bal. 6,400 6,400 jan. 31 bal.truckjan. 31 bal. 17,376 17,376 jan. 31 bal.accumulated depreciation -truckjan. 31 bal. 5,068 5,068 jan. 31 bal.a. if the amount in supplies expense represents the january 31 adjustment for the supplies used in january, and $1,240 worth of supplies were purchased during january, what was the january 1 beginning balance of supplies? $answerb. the amount in the insurance expense account represents the adjustment made at january 31 for january insurance expense. if the original insurance premium was for one year, what was the amount of the premium, and on what date did the insurance policy start? amount of the premium $answerthe policy began on answerjune 1july 1august 1september 1october 1november 1 of the previous year.c. if we assume that no beginning balance existed in either in either wage payable or wage expense on january 1, how much cash was paid as wages during january? $answerd. if the truck has a useful life of four years (or 48 months), what is the monthly amount of depreciation expense, and how many months has bloomfield owned the truck? answermonths