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S1: D1=$30, D2=$20

S2: D1=$25, D2=$22

There is also a shipping tax per barrel:

S1: D1=$2, D2=$6

S2: D1=$5, D2=$4

Southwestern Oil is determined to spend no more than $40,000 on shipping tax.

a) How should the oil be supplied to minimize cost?

b) Find and interpret the values of any nonzero slack or surplus variable

Okay so my attempt at coming up with the constraints is this:

Minimum: W=

30x

_{1}+20x

_{2}>=3000

25x

_{3}+22x

_{4}>=5000

x

_{1}+x

_{2}=50,000

I think what is throwing me off is the shipping tax. I understand that the forum rules are that we need to make an attempt, but I am having such a hard time with this, and would really appreciate some help.