(Answered) : alloy amount in stock (lb) purchace price ($/lb) composition (% of) scrape value after copper, nickel,

alloy
amount in stock

(lb)

purchace price

($/lb)

composition

(% of)

scrape 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 – 10 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 chromium can be