A company wants to maximize the profit it makes for selling two types of sodas. A carton of grape soda returns a profit of $1.75 and a carton of cherry soda returns a profit of $2.25. Your firm has been hired to help the company maximize its profit and found the following constraints that must be applied.
1. Cartons of both sodas should not exceed 1500 cartons a week.
2.The demand for cherry sodas cannot exceed half of the demand for grape sodas.
3.The company should produce grape sodas at a level that is less than or equal to 500 cartons plus twice the production level for cherry sodas.
The graph of the shaded region is subjected to the given constraints where x is the number of cartons of grape soda, and y is the number of cartons of cherry soda.
Which of the following inequalities does not apply to the graph of the constraints?
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