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DUE 2/27 PLEASE ANSWER!! Assignment Problem 2* Missouri Mineral Products (MMP) p

ID: 2959750 • Letter: D

Question

DUE 2/27 PLEASE ANSWER!!

Assignment Problem 2*
Missouri Mineral Products (MMP) purchases two unprocessed ores from Bolivia Mining, which it uses in the production of various compounds. Its current needs are for 800 pounds copper, 600 pounds of zinc, and 500 pounds of iron. The amount of each mineral found in each 100 pounds of the unprocessed ores and MMP’s cost per 100 pounds are given in the following table.

 

 

 

 

 

 

 

Ore      Copper per 1K lbs    Zinc per 1K lbs   Iron per 1K lbs  Waste per 1K lbs    Cost per 1K lbs

 

 

 

La Paz ore    20                    20                    20                      40                 $100

 

Sucre ore     40                     25                    10                        25              $140

 

 

 

 

 

 

 

The objective is to determine the amount of each ore that should be purchased in order to minimize the total purchasing cost.
a) Formulate the linear programming model for the problem.
b) Use the Graphical method to find the optimal solution. Show all steps.
c) Use Excel Solver to find the optimal solution. Copy and paste your spreadsheet and the Answer report in its entirety from Excel. Remember to not delete/modify any part of the Answer Report.

Explanation / Answer

let x be amt of la paz ore bought and y be amt of sucre ore bought. x nd y in 1k increments.

for copper: .2X+.4y>800

for zinc: .2x+.25y>600

for iron: .2x+.1y>500

x>0

y>0

Want to minimize x(100)+y(140)