Maximize crude oil chain weekly profit

[gfd43tg]

Homework Statement

Homework Equations

The Attempt at a Solution

I sort of want to make this into a linear program problem, but I think that it should be solvable without it, since I never learned about it in this particular course.

I will just work with Fuel Process 1 as an example, and I can do the other processes if I get this one correct to figure out the most profitable process.

The profit, $P$, can be determined,

$$P = (0.6)(45)G + (0.2)(30)H + (0.1)(15)J + (0.0)(60)L - (0.1)(15)O - (15)C - (5)C $$

The demand constraints,
$$ \begin{bmatrix} G \\ H \\ J \\ L \end{bmatrix} \le \begin{bmatrix} 170 \\ 85 \\ 85 \\20 \end{bmatrix} $$
$C = 100$
$G + H + J + L + O = C$

Am I going in the right direction for this one? Feels like I may be double counting the operating losses with the cost of the crude oil twice.

 

[BvU]

Hi,
Not much response so far, let me give some comments:

I think you are double-counting: the O loss is in the C cost (it looks as if disposal doesn't cost anything) .

You use C = 100 as a constraint. It isn't clear to me if C $\le$ 100 is also possible; perhaps not, in which case you have a discrete problem on your hands.