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Whole Foods buys organics beets from two suppliers, one in Ames and one in Zearing. The price
per unit of the Ames beets is $4.50 and the price per unit of the Zearing beets is $7.00.
A) define variables that would tell how many units to purchase from each source.
B) develop an objective function that would maximize total profit.
C) Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply no more than
900 units. Develop constraints for these conditions.
Solution
A) Let X denote the no. of units purchased from Ames
and let Y denote the no. of units purchased from Zearing
B) Let the total purchasing cost be denoted by Z.
Then the objective function for maximizing Total profit is achieved through minimizing the total
cost:
Min Z = 4.5X + 7Y
C) The constraints are:
X + Y <= 1000
X <= 900
Whole Foods buys organics beets from two suppliers- one in Ames and on.docx

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Whole Foods buys organics beets from two suppliers- one in Ames and on.docx

  • 1. Whole Foods buys organics beets from two suppliers, one in Ames and one in Zearing. The price per unit of the Ames beets is $4.50 and the price per unit of the Zearing beets is $7.00. A) define variables that would tell how many units to purchase from each source. B) develop an objective function that would maximize total profit. C) Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply no more than 900 units. Develop constraints for these conditions. Solution A) Let X denote the no. of units purchased from Ames and let Y denote the no. of units purchased from Zearing B) Let the total purchasing cost be denoted by Z. Then the objective function for maximizing Total profit is achieved through minimizing the total cost: Min Z = 4.5X + 7Y C) The constraints are: X + Y <= 1000 X <= 900