Chapter 15.1, Problem 10E

Q/ Find and classify the singularities of the functions- = 52+3 (1-2) sin² Z a fcz) b f(z) = tanz Z © f(2)= [z (e²-1)]

A linear programming computer package is needed. As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars). Year 1 2 2 3 4 5 6 Payment 210 235 260 305 335 480 The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings (at 4% annually) and government securities, at prices and rates currently quoted in The Wall Street Journal. Hoxworth wants to develop a plan for making the annual payments by investing in the following securities (par value = $1,000). Funds not invested in these securities will be placed in savings. Security Current Price Rate (%) Years to Maturity 1 2 $1,055 $1,000 6.750 5.125 3 4 Assume that interest is paid annually. The plan will be submitted to the judge and, if approved, Hoxworth will be…

A linear programming computer package is needed. Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large professional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…