Answer :
Final answer:
The problems discussed in the question relate to mathematical optimization with constraints, which involves identifying a feasible region based on given inequalities and then finding the minimum or maximum value of a particular algebraic expression by substituting each vertex of the feasible region into the expression.
Explanation:
Parsing through the original question, we have several problems relating to mathematical optimization and systems of inequalities. For instance, for the system of inequalities in QUESTION 15, we need to minimize the expression 9x + By under the constraints specified by the inequalities. We would first confirm that the provided constraints form a feasible region on a coordinate plane. We would draw and shade the region accordingly and identify its vertices. To find the minimum value of 9x + By, we substitute each vertex into the expression and choose the smallest value.
However, specific numbers for 'B', 'x' and 'y' were not provided, so we can't provide a numerical solution. The same process would apply to the other questions about the maximum value of 'x' and the minimum value of 'ex + By' or '9x + By'.
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