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4. Blending Coffee . The Great Canadian Coffee Company imports coffee beans and is attempting to create a coffee blend that will maximize profit and

4. Blending Coffee. The Great Canadian Coffee Company imports coffee beans and is attempting to create a coffee blend that will maximize profit and appeal to Canadian tastes. Two major characteristics of coffee are acidity and body. Consumer studies have indicated that Canadians prefer a coffee blend that is not overly acidic and that can be characterized as full- bodied. The company packages its coffee blends in 150 gram vacuum- sealed bags and sells 10 000 bags a day. Each bag produces $ 6.20 sales revenue. The four types of coffee beans that the company imports for blending have the following characteristics:

Coffee Type

Cost/kg

Acidity coefficient

Body coefficient

Availability(kg/day)

Brazilian

4.60

7

4

4000

Columbian

4.40

2

6

5000

Jamaican

3.80

6

3

3000

Hawaiian

3.60

3

5

4000

The company has decided that a Canadian blend should have an average acidity coefficient that is no more than 5 and an average body coefficient that is at least 4. Also, each 150 gram bag should contain at most 30% Jamaican coffee and at least 20% Colombian coffee.

  1. Formulate the Great Canadian Coffee Companys blending problem as a linear program.
  2. BONUS. Solve the problem using Excel Solver and answer the following questions:
    1. How many grams of each type of coffee beans should be mixed in a 150 gram bag?
    2. What is the total daily profit?

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