Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is
unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 6x − 6y subject to x 5 ≤ y y ≤ 2x 7 x + y ≥ 9 x + 2y ≤ 22 x ≥ 0, y ≥ 0.
1 answer:
Answer:
no optimal solution as feasible region is empty
Step-by-step explanation:
The complete question is:
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 6x − 6y subject to 5x ≤ y y ≤ 2x 7 x + y ≥ 9 x + 2y ≤ 22 x ≥ 0, y ≥ 0.
See the attachment to understand the following explanation.
The shaded regions shown in attachment obeys all constraints except for 5x ≤ y and y ≤ 2x. The shaded region 1 obeys all constraints except y ≤ 2x and shaded region 2 obeys all constraints except 5x ≤ y. So there is no feasbile region. Hence no optimal solution exists
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Answer:
All of them.
Step-by-step explanation:
For rational functions, the domain is all real numbers <em>except</em> for the zeros of the denominator.
Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:
Zero Product Property:
Solve for the x in each of the three equations. The first one is already solved. Thus:
Thus, the values that <em>cannot</em> be in the domain of the rational function is:
Click all the options.