Quantitative methods

posted by .

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 of 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 Zinc Iron Waste Cost
La Paz ore 20 20 20 40 $100
Sucre ore 40 25 10 25 $140
Suppose the objective is to minimize the total purchasing costs, answer the following questions:
a) (20 Points) Write the linear programming model for this problem. Define the variables precisely. (Hint: MMP is deciding how many of each type of ore to buy in order to extract enough minerals to satisfy its customers.)
b) (20 Points) Find the optimal solution using the graphical method. Show all steps. Find the points of intersection algebraically.
c) (10 Points) Find the optimal solution using Excel Solver. Copy and paste the Excel spreadsheet and the Answer Report.
Answer the following two questions using the sensitivity report!
d) (Bonus 5 Points) what happen to the optimal decision and optimal cost if the price for La Paz ore increases to $110 per 100 pounds?
e) (Bonus 5 Points) what happen to the optimal decision and optimal cost if the demand for iron increased from 500 pounds to 550 pounds?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A certain alloy contains 5.25% copper. How much copper is there in a piece weighing 200 pound?
  2. Macroeconomics

    . Atlantis is a small, isolated island in the South Atlantic. The inhabitants grow potatoes and catch fresh fish. The accompanying table shows the maximum annual output combinations of potatoes and fish that can be produced. Obviously, …
  3. math

    mario took inventory of fish food in his store. there were 1 5/8 pounds of goldfish food, 9/16 pounds of beta food, and 17/20 pounds of tropical fish food. about how many pounds of fish food were there in all?
  4. Math

    Danny ordered 124 pounds of vegetables for this week's menu.On Monday 18 pounds were used,and Tuesday's meal used 36 pounds.Twenty-six pounds were used on both Wednesday and Thursday.How many pounds does Danny have left to use on Friday?
  5. MATH

    7. Tina lost 3 pounds on the first week of her diet. She gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. She has been dieting for a total of 13 weeks. How many pounds has Tina lost in …
  6. math

    Q1.The zoo uses 10 pounds of apples each day. How many pounds of apples should be on the weekly grocery list?
  7. math

    A certain alloy contains 5.25% copper. How much copper is there in a piece weighing 200 pounds. A.1.05 pounds B.105 pounds C.10.5 pounds D.1050 pounds Would it be C 10.5 pounds
  8. Algebra

    Bronze is an alloy that is made of zinc, tin, and copper in a specified proportion. Suppose an order is placed for 1000 pounds of bronze. The amount of tin in this order of bronze is two times the amount of zinc, and the amount of …
  9. Math

    Luisa bought 2 1/2 pounds of apples, 3 3/8 pounds of oranges, anf 1 1/4 pounds of pears. How many pounds of fruit did she buy in all?
  10. quantitative analysis for decision making

    . A food industry produces chips at three factories, located in Birmingham, Glasgow and London. Since the customer should be supplied with fresh products, these are not stored in the factories. The monthly production ability of the …

More Similar Questions