ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.37 : A biochemical engineering professional applies 5-step Du Pont formula in the accounting. Let Net Income = A, Earning Before Tax (EBT) = B, Earning Before Interest, Tax (EBIT) = C, Net Sales = D, Total Assets = E, Shareholders Equity = F. Let Tax Burden = A / B = 0.75, Interest Burden = B / C = 1.05, EBIT Margin = C / D = 0.27, Asset Turnover = D / E = 0.66, Return on Equity = A / F = 0.37. (a) Calculate the value of Leverage = E / F. (b) If AB + BC + CD + DE + EF = $$ 141932, find the values of A, B, C, D, E and F.
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ACCOUNTING AND FINANCIAL ENGINEERING - ANSWER 34.37 : (a) Leverage = E / F = (A / F) / [ (A / B) (B / C) (C / D) (D / E) ] = 0.37 / [ (0.75) (1.05) (0.27) (0.66) ] = 2.6366. (b) Let 6 simulteneous equations with 6 unknowns could be formed where A / B = 0.75, B / C = 1.05, C / D = 0.27, D / E = 0.66, AB + BC + CD + DE + EF = 141932 = G. Simple computer programming could be used to perform trial-and-error calculation. For example, DATA : What-if Analysis : Goal Seek in Excel 2013 is able to set the value of G to 141932 by changing the value of A, B, C, D, E or F. Finally A ≈ $48, B ≈ $64, C ≈ $61, D ≈ $226, E ≈ $342, F ≈ $129. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.4 : A university is enrolling new students of biochemical engineering degree. A long queue is formed during registration. Let L = rate of newcomers to a queue, m = number of clients served at a certain time, T = time in system. In M / M / 1 queue, let T = time waiting in a queue + service time, L = 2 / second, m = 3 / second. (a) Find the service time, A = 1 / m. (b) Calculate time waiting in a queue, B = A (L / m) / (1 - L / m). (c) What is the value of T?
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