Provide an appropriate response.Given the primal and dual problems below:Primal:Maximize f(x) = cxTsubject to Ax ? b x ? 0where c is a vector in ?n and A is an m × n matrixDual: Minimize g(y) = bTysubject to ATy ? c y ? 0where b is a vector in ?m If 
is an optimal solution to the primal problem and 
is an optimal solution to the dual problem, then which of the following statements is (are) true?A: f(
) = g(
src="https://sciemce.com/media/4/ppg__aa0521192110__f1q32g4.jpg" style="vertical-align: -4.0px;" />)B: f(
) = f(
)C: g(
) = g(
)D: g(
) = f(
)
A. A and D
B. B and C
C. A only
D. All of them.
Answer: C
Mathematics
src="https://sciemce.com/media/4/ppg__aa0521192110__f1q32g4.jpg" style="vertical-align: -4.0px;" />)B: f() = f()C: g() = g()D: g() = f()
A. A and D
B. B and C
C. A only
D. All of them.
Answer: C
Mathematics
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