A loan is negotiated with the lender agreeing to accept $8,000 after one year, $9,000 after two years, and $20,000 after four years in full repayment of the loan. The loan is renegotiated so that the borrower makes a single payment of $37,000 at time T and this results in the same total present value of payments when calculated using an annual effective rate of 5%. Estimate T using the method of equated time. Also find T exactly.

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Verizon communications, inc., provides the following footnote relating to its leasing activities in its 10-k report. the aggregate minimum rental commitments under noncancelable leases for the periods shown at december 31, 2010, are as follows: years (dollars in millions) capital leases operatingleases 2011 $97 $1,898 2012 74 1,720 2013 70 1,471 2014 54 1,255 2015 42 1,012 thereafter 81 5,277 total minimum 418 $ 12,633 rental commitments less interest and (86) executory costs present value of 332 minimum lease payments less current (75) installments long-term obligation $257 at december 31, 2010 (a) confirm that verizon capitalized its capital leases using a rate of 7.4 %. (b) compute the present value of verizon's operating leases, assuming an 7.4% discount rate and rounding the remaining lease term to 3 decimal places. (use a financial calculator or excel to compute. do not round until your final answers. round each answer to the nearest whole number.)

To appeal to a new target market, the maker of hill's coffee has changed the product's package design, reformulated the coffee, begun advertising price discounts in women's magazines, and started distributing the product through gourmet coffee shops. what has been changed? a. the product's perceptual value. b.the product's 4ps. c. the method used in its target marketing. d. the ownership of the product line. e. the product's utility.