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need help fast please Question 6 out of 6 (35 points) In the basic EOQ model, wh

ID: 358863 • Letter: N

Question

need help fast please

Question 6 out of 6 (35 points) In the basic EOQ model, when a new shipment arrives, it arrives all at once. That is, we order some amount Q, and this amount is delivered after the lead time has passed. We will now consider the following extension of basic EOQ model. Instead of arriving all at once, the inventory is replenished gradually at a rate of a items per unit time, until the order quantity Q is fulfilled. Withdrawals from the inventory (to satisfy demand) ane made at the rate of d items per unit time, where d

Explanation / Answer

Eq Comment using Total amount produced = Imax*T1/2 Ans A 0 Imax ^2 /2 (a-d) Eq 0 and 5 Q* d/ (-d+a-d) Ans A 1 a-d = Imax/(T1) T1= Imax/a-d 2 Q= Imax*(T1+T2)/2 3 -d = Imax/(T2) T2 = Imax/-d 4 So, Q = Imax * ((Imax/a-d) + (imax/-d))/2 5 Q = Imax^2*(-d+a-d)/(2*d*(a-d) 6 So, Imax = Sqrt (2*d*(a-d)*Q/(a-2d)) Ans D Hence, T1 = Sqrt (2*d*(a-d)*Q/(a-2d))/(a-d) Ans B 7 Demand during T1 = -d*T1 8 = -d * Sqrt (2*d*(a-d)*Q/(a-2d))/(a-d) Ans C