alloy
amount in stock
(lb)
purchace price
($/lb)
composition (%of)
scrap value after copper
, nickel, chromium, is removed ($/lb)
copper nickel chromium
a 1000 0.50 5 25 – 0.15
b 100 1.00 – 25 10 0.55
c 500 0.80 75 – – 0.35
d 200 2.00 30 – 25 0.90
e 1000 0.40 – 10 2 0.20
A firm that specializes in custom blended alloys has received an order for 100 pounds of a special alloy containing 25% copper, 70%-nickel, and 5% chromium. The firm has in stock five alloys whose values and compositions are shown in the below table.
a.Formulate a linear program to determine the least cost way of filling the order. To get full credit, you must show your work/calculations and explain in words how you came up with your objective function and each constraint
b.How does the formulation in (a) change if pure
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