Homework Help Question & Answers

Two oil refineries each produce three grades of petroleum, A, B and C. At each refinery, the various grades One operati...

Two oil refineries each produce three grades of petroleum, A, B and C. At each refinery, the various grades One operation atThe manager orders operations at Refinery 1 and y operations at Refinery 2 (b) Enter the total amount of a function of r and

Two oil refineries each produce three grades of petroleum, A, B and C. At each refinery, the various grades One operation at Refinery 1 produces 2 units of A, 1 unit of B and 5 units of C f petroleum are produced in a single operation so that they are fixed proportions. One operation at Refinery 2 produces 5 units of A, 1 unit of B and 2 units of C. Refinery 1 charges $200 for one operation, and Refinery 2 charges $350 for one operation. consumer needs 1,040 units of A, 340 units of B and 890 units of C How should the orders be placed ir the consumer's needs are to be met most economically?
The manager orders operations at Refinery 1 and y operations at Refinery 2 (b) Enter the total amount of a function of r and y produced, (c) Enter the total amount of B produced, as a function of and y produced, a function of (d) Enter the total amount of and y (e) Each grade of oil. A. B and C. gives an inequality inz and y. Plot these inequalities on a graph, Enter the coordinates of the comers of the feasible region (the feasible basic solutions), Enter them i increasing order of their T-COordinate. For example, if one feasible basic solution is = 1,y 2, another is = 5, y 0 and a third is 2,y 3, you would enter (1,2), (2,3), (5,0) f these feasible basic solutions. What is the cost of the cheapest? (f) Calculate the cost of each
0 0
Next > < Previous
ReportAnswer #1

Let there be x operations at Refinery 1 and y operations at the Refinery 2.

(b). The total amount of A produced is 2x+5y.

( c). The total amount of B produced is x+y.

(d). The total amount of C produced is 5x+2y

(e). In view of the requirements of the consumer, we have 2x+5y ≥ 1040…(1), x+y ≥ 340…(2) and 5x+2y ≥ 890…(3).

A graph of the lines 2x+5y = 1040 (in red), x+y = 340 (in blue) and 5x+2y = 890 (in green) is attached. The feasible region is on and above all these 3 lines.

The blue and the green lines intersect at A: ( 70,270) and the blue and the red lines intersect at B: (220,120). Thus, the only feasible basic solutions are (70,270) and (220,120).

(f). At A, the cost of operation of the 2 refineries is 70*200+270*350 = 14000+94500 = $ 108500.

At B, the cost of operation of the 2 refineries is 220*200+120*350 = 44000+42000 = $ 86000.

The cheapest cost is $ 86000 from 220 operations at Refinery 1 and 120 operations at the Refinery 2.

-400- 200 200 400

-400- 200 200 400

Add Homework Help Answer
Add Answer of:
Two oil refineries each produce three grades of petroleum, A, B and C. At each refinery, the various grades One operati...
Your Answer: Your Name: What's your source?
Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
More Homework Help Questions Additional questions in this topic.
Need Online Homework Help?
Ask a Question
Get FREE Expert Answers
WITHIN MINUTES
Related Questions