Onmental efficiency indicator (EnvI) and Business model social efficiency indicator (SocI
Onmental efficiency indicator (EnvI) and Company model social efficiency indicator (SocI). As a way to confirm the formed assumption, inverse induction was used. For this objective, essential indicators of enterprise model Alvelestat In Vivo sustainability effectiveness–EcI, EnvI and SocI–are expressed as x1 , x2 and x3 . Provided the specific value of sustainable business model effectiveness, forming the optimization model with respect to controlling influence is usually expressed as follows: maxaS2 x3 – E2 (t3 – t0 ) – s1 – s2 – se(1)The possibility of meeting the following condition need to be deemed: P2 ( x3 = 1) = 3 1 – exp-3 s3 x2 , t3 = t2 + a3 , s3 0.(2)In this case, there is a fixed element within the kind of: t3 = t2 + a3 , which is unaffected by the controlling influence in the context of sustainability s3 . At the identical time: S2 x3 = 1P2 ( x3 = 1) =3 1 – exp-3 s3 x2 As a result, the following is usually deduced: maxa3 1 – exp-3 s3 x2 – ss3(3)(4)Based on the first-order conditions, the following remedy is often derived: s3 =1 three lna3, if a3 3 1 and x2 = 1, s3 = 0, if a3 3 x2 1.(5)Sustainability 2021, 13,6 ofFor the third direction, the optimal sustainability model F3 ( of controlling influence s3 is set as follows:1 s3 = F3 (s2 , x2 , t2 ) = three lna3 three , if a3 3 1 and x2 = 1, s3 = F3 (s2 , x2 , t2 ) = 0, if a3 3 x2 1.(six)The optimal sustainability model will not depend on the degree of controlling influence in the context of the second path s2 , nor on the time for you to 20(S)-Hydroxycholesterol Autophagy obtain the targets set t2 . At the similar time, it depends upon the level of efficiency inside the context of sustainability in other areas. As a result, an impact on the sustainability functionality of your enterprise model is necessary s3 to make sure the continued effectiveness of e-commerce (x2 = 1) than in the case of a lower in its level (c). The optimal impact of small business model sustainability on its economic efficiency is determined by exactly the same principle in the direction of enhancing the effectiveness of company model sustainability: maxaS1 x3 – S1 (t2 + a3 – t0 ) – s1 – s2 – S1 se(7)Given the should meet the relevant circumstances, this could be expressed as: S1 x3 = S1 (S2 ( x3 )) = S1 (three 1 – exp-3 s3 x2 ) (eight)Determined by optimizing the impact of sustainability on e-commerce company model efficiency s3 , which was defined earlier, it truly is attainable to express the following: S1 x three = 3 1 -1 a3P1 ( x2 = 1), if a3 three 1 (9)and S1 x3 = 0, if a3 3 1. 1 1 S1 s3 = three ln( a3 3 ) P1 ( x2 = 1) = three ln( a3 three )2 1 – exp-2 s2 x1 , if a3 three 1, and S1 s3 = 0, if a3 3 1.Supplied that a3 3 1, forming optimal impact within the context of improving the effectiveness of business model sustainability s2 can be lowered to: max( a3 -s1 1 – ln( a3 3 )two 1 – exp-2 s2 x1 – S1 (t2 – t1 ) – s2 3(10)If 1 continues to follow the variable t2 , it may be argued that: max( a3 -s21 1 – ln( a3 3 )two 1 – exp-2 s x1 – (two s2 – 2 s1 + a2 ) – s2 , 3 three (11)which may also be expressed as follows: max- ( a3 -s21 1 – ln( a3 3 )two exp-2 s2 x1 – 32 + 1 s2 (12)Offered that a3 3 1, the formation in the optimal impact inside the context of improving the effectiveness of business enterprise model sustainability s2 can be determined as follows: max -s2(2 s2 – 2 s1 + a2 ) – s2 , (13)Sustainability 2021, 13,7 ofThis enables one to state that x2 = 0. Provided that a3 three 1, 1 can state the formation in the optimal impact of enhancing organization model sustainability inside the context of economic efficiency: s2 = F2 (s1 , x1 , t1 ) = s2 = two 2 ( a3 -(1+ln( a3 three ))/3 ) 1 , 3 ln 2 + 2 two ( a.
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