A company with $630,000 in operating assets is considering the purchase of a machine that costs $74,000 and which is expected to reduce operating costs by $20,000 each year. These reductions in cost occur evenly throughout the year. The payback period for this machine in years is closest to :

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Under t, the point (0,2) gets mapped to (3,0). t-1 (x,y) →

Which of the following statements is true of the balanced-scorecard? a. it is a more or less a one-dimensional metric of measuring competitive advantages of a firm. b. it is one of the traditional approaches of measuring firm performance. c. its primary focus is to base a firm's strategic goals entirely on external performance dimensions. d. it attempts to provide a holistic perspective on firm performance.