Question 1207236
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The following constraints are given for a linear programming problem
   y + 2x>8
   3y +2x>18
    y<2x
    x>1
1. Sketch the graph with the given constraints.
2. Shade the feasible region on the graph.
3. Find the values of x and y that will maximize the profit if the objective function is P= x + y.
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As presented in this post, &nbsp;the given objective function has no maximum; &nbsp;so the posed problem has no solution.


Indeed, &nbsp;it is clear that under given constraints &nbsp;the feasibility domain is the area 
unbounded from the side of great positive x and y; that allows the objective function 
P = x + y  &nbsp;to grow unlimited.


Thus, &nbsp;the problem is posed &nbsp;INCORRECTLY &nbsp;and &nbsp;HAS &nbsp;NO &nbsp;solution.



So, &nbsp;either a person who created this &nbsp;" problem ", &nbsp;is mathematically illiterate in the subject,

OR &nbsp;this person is extremely inaccurate, &nbsp;OR &nbsp;the problem is extracted from an untrusted source without thinking

in the hope that there will be a qualified reader who will find and note an error.



Here &nbsp;" OR " &nbsp;is not exclusive: &nbsp;these listed rationalities may come together in different combinations.



It is what usually happens at this forum every day, &nbsp;and even several times per day.



Therefore, &nbsp;this cleaning, &nbsp;which I make at this forum daily/regularly, &nbsp;is absolutely necessary 
and deserves the greatest gratitude from visitors.