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ondray3435
16.04.2021 •
Business
A hospital needs 2,900 units of a medicine throughout the year. The purchasing cost varies with the size of the order. If the number of units of the medicine that the hospital orders is below 100, the supplier charges $30 per unit; if it is between 100 and 499, the price is $27 each; and if they order 500 units and above, it is $26 per unit. The holding cost per unit per year is $30, as the medicine must be kept in a special device to prevent spoilage. The ordering cost is $10.
Required:
a. How many units of medicine should the hospital order to minimize their total annual cost?
b. What is the minimum annual total cost?
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Ответ:
a. 100 units are ordered
b. Minimum Total annual cost = 80090
Explanation:
Given that,
D=2900.
C = $30 IF q<100
= $27 IF 100<Q<499.
= $26 IF Q>500.
C(H) = $30
C(O) = $10.
EOQ = √(2*D*C(O)/C(H))
= √( 2*2900*10/30)
= √( 1933.3333)
= 43.97
TAC if 44 units are ordered = (2*D*C(O)*C(H))+D*C
= 2*2900*10*30+ 2900*30
= 1319.09+ 87000 = 88319.09
TAC if 100 units are ordered = 2900/100*10+ 100/2*30+ 2900*27
= 29*10+ 50*30+2900*27
= 290+1500+78300
= 1790 + 78300 = 80090
if 500 units are ordered = 2900/500*10+ 500/2*30+2900*26
= 58+ 7500+75400= 82958.
∴ we get
100 units are ordered
Minimum Total annual cost = 80090.
Ответ:
C. Lower cost to attend
All of the other options are potential disadvantages not benefits for a technical school program vs. a 4-year college degree.