Company ABC deals three sizes of jackets: X Y and Z. O

Company ABC deals three sizes of jackets: X Y and Z. Once a year ABC sets up a booth in NYC and has a sale where it sells all three sizes. The sale is tomorrow. The demand for X is Uniformly distributed between 100 and 200. The demand for Y is Uniformly distributed between 50 and 200. The demand for Z is Uniformly distributed between 50 and 150. ABC will throw away the jackets not sold. There is no stock out cost. The following parameters apply.
Size
Cost (Ci)
Discount Cost (DCi) all units
Sales Price (VI)
X
$5.00
$4.00
$10.00
Y
$10.00
$8.00
$20.00
Z
$15.00
$12.00
$30.00
Assume that ABC has a limited budget of $8000.00 to invest in the project. If the lot size for X exceeds 180 a discounted cost applies. If the lot size for Y exceeds 170 a discounted cost applies. If the lot size for Z exceeds 130 a discounted cost applies. How many of each Jackets should ABC Buy?
IE 723 Hodgson
2nd Test Fall 2011
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