(1) Should AB purchase the new machine? Show your calculations. (10%)

(2) Is there any conflict between the decision model and the incentives of the manager who has purchased the old machine and is considering replacing it a year later? (5%)

(3) At what purchase price would AB be indifferent between purchasing the new machine and continuing to use the old machine? (5%)

7.企業社會責任(Corporate Social Responsibility,CSR)課題日受到實務界和學術界的重視,雖然善盡金業社會責任需投入成本,但獲得的益處通常更多,例加:刊登於世界第1名之財務金融學術期刊(Joumal of Finance)的文章:Lins,Servaes and Tamayo, 2017, Social Capital, Trust, and Firm Performance: The Vahne of Corporate Social Responsibility during the Financial Crisis.茲將此文章之摘要節錄如下: During the 2008-2009 financial cris, firms with high social capital, as measured by corporate social responsibility (CSR) intensity,had stock retums that were four to seven percentage points higher than firms with low social capital. High-CSR firms also experienced higher prottability, growth, and sales per employee relative to low- CSR firms, and they raised more debt. This evidence suggests that the trust between a firm and both its stakeholders and investors, built through investments in social capital, pays off when the overall level of trust in corporations and markets suffers a negative shock. 請您依據上述摘要說明善盡企業社會責任的公司(High-CSRfirms)在金融海嘯艱固時期產生哪五種好 處?(本題10分,每一答案2分)

(一)碳足跡(Carbon Footprint)。

(二)逆溫現象(Temperature Inversion)。

(三)選擇性觸媒還原(Selective Catalytic Reduction, SCR)。

(一)設計規範要求運轉時之過濾風速(氣布比，Air-to-Cloth ratio, A/C)不得超過 1.0 m/min，在所有濾袋均正常運作時，全套集塵系統至少需配置多少支濾袋(計算至整數位，以下四捨五入，圓周率 π 以 3.1416 計算)？

(二)濾布過濾初期，其穿透壓降符合達西定律(Darcy's law)擴充式：∆P = (K1+K2∙L)∙v式中 ΔP 為過濾總壓降(N/m2 或 Pa)、v 為過濾風速(m/s)、L 為濾餅粉塵堆積面負荷量(kg/m2)、K1 為清潔濾布阻力係數(N⋅s/m3)、K2 為粉塵濾餅阻力係數(N⋅s/(kg⋅m))。若已知該濾布之 K1 = 300 N⋅s/m3，K2 = 1, 200 N⋅s/(kg‧m)。當過濾運轉一段時間後，濾袋表面形成之粉塵負荷量 L = 0.5 kg/m2，且過濾風速 v = 1.0 m/min，此時通過濾袋之總壓降ΔP (Pa)為多少？

(1)請簡述靜電集塵之 4 個連續核心物理機制。(4 分)

(2)列出評定其除塵效率公式 Deutsch-Anderson Equation，同時條列說明公式中各符號代號之物理意義與常用單位。(6 分)

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