Question Number 90803 by askask last updated on 26/Apr/20
$${U}={ax}−{bx}^{{c}} +{dy}\:\mathrm{is}\:\mathrm{subject}\:\mathrm{to}\:\mathrm{I}={mx}+{ny}. \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{happens}\:\mathrm{to}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{point}\:\mathrm{of}\:\boldsymbol{{x}}, \\ $$$${when}\:\boldsymbol{{a}}\:\mathrm{increases}?\:\mathrm{Explain}\:\mathrm{your}\:\mathrm{answer}. \\ $$$$ \\ $$$$\left(\mathrm{Use}\:\mathrm{Lagrange}\:\mathrm{method}\right) \\ $$