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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

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.

Fortress international, a large conglomerate, procures a few component parts from external suppliers and also manufactures some of the key raw materials in its own subsidiaries. aside from this, the company does not solely depend on outside distributors to reach its customers. in fact, it has its own retail stores to distribute its products. in this scenario, which of the following alternatives to vertical integration is fortress international applying? a. concentric integration b. taper integration c. horizontal integration d. conglomerate integration