Question 17
Your answer is CORRECT.
Find the inverse of the given matrix, if it exists.
a)
b)

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c)
d)
e)
f)
None of the above.
Question 18
Your answer is CORRECT.
Solve the following system of equations by using the inverse of the coefficient matrix.

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Question 19
Your answer is INCORRECT.
A certain academic department at a local university will conduct a research project. The department will need
to hire graduate research assistants and professional researchers. Each graduate research assistant will need to
work 26 hours per week on fieldwork and 14 hours per week at the university's research center. Each
professional researcher will need to work 11 hours per week on fieldwork and 29 hours per week at the
university's research center. The minimum number of hours needed per week for fieldwork is 154 and the
minimum number of hours needed per week at the research center is 131. Each research assistant will be paid
$257 per week and each professional researcher will be paid $402 per week. Let
x
denote the number of
graduate research assistants hired and let
y
denote the number of professional researcher hired. The
department wants to minimize cost. Set up the linear programming problem for this situation.

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Question 20
Your answer is CORRECT.
Given the linear programming problem

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Use the method of corners to determine the where the minimum occurs, and give the minimum value.

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