SOLUTION: The Easy Mix Cement Company Produces their Red Seal and the Black Seal cements from a mixture of ground limestone, clay and shale. The Red Real mixture uses 1 part of limestone to

Algebra ->  Inequalities -> SOLUTION: The Easy Mix Cement Company Produces their Red Seal and the Black Seal cements from a mixture of ground limestone, clay and shale. The Red Real mixture uses 1 part of limestone to       Log On


   

Question 50354: The Easy Mix Cement Company Produces their Red Seal and the Black Seal cements from a mixture of ground limestone, clay and shale. The Red Real mixture uses 1 part of limestone to 1 part of clay and 2 parts of shale, while the Black Seal mixture requires 4 parts of limestone to 1 part of clay and 1 part of shale. There are 8 tons of limestone, 3.5 tons of clay, and 6 tons of shale on hand. Red Seal sells 200 dollars a ton, while Black Seal sells for 250 dollars a ton. Assuming that the company can sell all that they produce, set up but do not solve the linear program to find the amount of each mixture that shuld be formed for maximum revenue.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let l, c, and s be the limestone, clay, and shale.
Then:
l+c+2s=200
4l+c+s=250
l<=8
c<=3.5
s<=6
Cheers,
Stan H.