Consider the following production function: q equals 8 LK plus 5 Upper L squared minus (one third )Upper L cubed . Given the following expressions for the marginal productivity of each input: MP Subscript Upper L Baseline equals 8 Upper K plus 10 Upper L minus Upper L squared and MP Subscript Upper K Baseline equals 8 Upper L Assuming capital is plotted on the vertical axis and labor is plotted on the horizointal axis, determine the value of the marginal rate of technical substitution when K = 20 and L = 15. (Round your answer up to two decimal places and include the proper sign.) MRTS = nothing.

20. sinclair company's single product has a selling price of $25 per unit. last year the company reported a profit of $20,000 and variable expenses totaling $180,000. the product has a 40% contribution margin ratio. because of competition, sinclair company will be forced in the current year to reduce its selling price by $2 per unit. how many units must be sold in the current year to earn the same profit as was earned last year? a. 15,000 units b. 12,000 units c. 16,500 units d. 12,960 units

The vaska company buys a patent on january 1, year one, and agrees to pay $100,000 per year for the next five years. the first payment is made immediately, and the payments are made on each january 1 thereafter. if a reasonable annual interest rate is 8 percent, what is the recorded value of the patent? 1. $378,4252. $431,2133. $468,9504. $500,000

The federal reserve's organization while all members of the federal reserve board of governors vote at federal open market committee (fomc) meetings, only of the regional bank presidents are members of the fomc. the federal reserve's role as a lender of last resort involves lending to which of the following financially troubled institutions? u.s. banks that cannot borrow elsewhere governments in developing countries during currency crises u.s. state governments when they run short on tax revenues the federal reserve's primary tool for changing the money supply is . in order to decrease the number of dollars in the u.s. economy (the money supply), the federal reserve will government bonds.