A manufacturer wants to maximize the profit of two products


A manufacturer wants to maximize the profit of two products. Product I yields a profit of $ 1.50 per unit, and product II yields a profit of $2.00 per unit. Market tests and available resources have indicated the following constraints:

  • The combined production level should not exceed 1200 units per month.
  • The demand for product II is no more than half the demand for product I.
  • The production level of product I is less than or equal to 600 units plus three times the production level of product II.

Maximize: C = 1.5X + 2Y

X    +     Y                                X +  Y

0        1200                              0     200

1200  0                                    600  0

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