Two oil refineries each produce three grades of petroleum, A, Band C.At each refinery, the various grades of petroleum are produced in a single operation so that they are in fixed proportions.
One operation at Refinery 1 produces 2 units of A,1 unit of Band 6 units of C.
One operation at Refinery 2 produces 6 units of A,1 unit of Band 2 units of C.
Refinery 1 charges $400 for one operation, and Refinery 2 charges $200 for one operation.
A consumer needs 760 units of A,300 units of Band 1,040 units of C.
How should the orders be placed if the consumer's needs are to be met most economically?
a) Each grade of oil, A, Band C,gives an inequality in xand y.Plot these inequalities on a graph. Enter the coordinates of the corners of the feasible region (the feasible basic solutions). Enter them in increasing order of their x-coordinate. For example, if one feasible basic solution is x=1,y=2; another is x=5,y=0and a third is x=2,y=3,you would enter (1,2), (2,3), (5,0)
b) Calculate the cost of each of these feasible basic solutions. What is the cost of the cheapest?