Please help! especially part c,d,e. I have found the answer for part a and b, so please help me part c,d, and especially part e!
part a answer:
Excel = Norm.Inv (0.889, 2500, 400)
= 2989
part b answer:
Excel = Norm.inv (0.95, 2500, 400)
= 3158
a)
Underage cost, Cu = unit margin = $ 50
Overage cost, Co = Cost - selling price at 25% off the original retail price = $ 175 - 225*(1-25%) = $ 6.25
Critical ratio = Cu/(Cu+Co) = 50/(50+6.25) = 0.8889
z value = NORMSINV(0.8889) = 1.2206
Optimal quantity ABC should purchase = 2500+1.2206*400 = 2,988
b)
z value = NORMSINV(.95) = 1.6449
Optimal quantity ABC should purchase = 2500+1.6449*400 = 3,158
c)
For z = 1.6449, L(z) =NORMDIST(1.6449,0,1,FALSE)-1.6449*NORMSDIST(-1.6449) = 0.0209
Expected number of units short, L = L(z)*SD = 0.0209*400 = 8.36
d)
Expected Sales, S = 2500 - 8.36 = 2491.64
Expected inventory, V = Q - S = 3158 - 2491.64 = 666.36
Expected contribution to profit = S*Cu - V*Co
= 2491.64*50 - 666.36*6.25
= $ 120,417.25
e)
For ordering policy in part b to be optimal,
Cu/(Cu+Co) = 0.95
Substituting Co = 118.75, in the above equation, and solving for Cu, we get
Cu = 0.95*6.25/(1-0.95)
= $ 118.75
Additional cost per unit out of stock, = 118.75-50
= $ 68.75
Please help! especially part c,d,e. I have found the answer for part a and b, so please help me part c,d, and especially part e! part a answer: Excel = Norm.Inv (0.889, 2500, 400) = 29...
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