with steps please

1. (30 marks) The cost of refined oil when shipped via the Malacca Straits to Japan in dollars per kiloliter was given (Uchiyama, 1968) as the linear sum of the crude oil cost, the insur- ance, customs, freight cost for the oil, loading and unloading cost, sea berth cost, sub- marine pipe cost, storage cost, tank area cost, refining cost, and freight cost of prod- ucts as 1:064 X 10%at 0.4925 c = c + C; + (x + 2.09 X 1041 -0.3017 + 360 52.479(360) + 4.242 x 10^at 0.7952 + 1.813ip (nt + 1.2q)0.861 52.479(360) -0.1899 + 4.25 X 10'a(nt + 1.29) 52.479(360) 5.042 X 10%9-0 + 360 0.1049q0.671 + 360 where a = annual fixed charges, fraction (0.20) Cc = crude oil price, $/kL (12.50) c; = insurance cost, $/kL (0.50) Cx = customs cost, $/kL (0.90) i = interest rate (0.10) n = number of ports (2) p = land price, $/m2 (7000) q = refinery capacity, bbl/day t = tanker size, KL Given the values indicated in the parentheses, use a computer code to compute the minimum cost of oil and the optimum tanker size t and refinery size q by Newton's method. (Note that 1 KL = 6.29bbl)