Solve the problem.
-$$\text { Let } c ( x ) = t \left( p _ { 0 } - p \right) p ^ { 3 } \text { where } t \text { and } p _ { 0 } \text { are constants. Show that } c ( x ) \text { is greatest when } p = \frac { 3 } { 4 } p _ { 0 } \text {. }$$

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The Answer of Solve the problem.
-$$\text { Let } c ( x ) = t \left( p _ { 0 } - p \right) p ^ { 3 } \text { where } t \text { and } p _ { 0 } \text { are constants. Show that } c ( x ) \text { is greatest when } p = \frac { 3 } { 4 } p _ { 0 } \text {. }$$

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