what is the MATLB code for this optimization problem?

EXAMPLE? solving an optimization problem involving an exponential model The effectiveness of studying for an exam depends on how many hours a student studies. Some experiments show that if the effectiveness, E, is put on a scale of 0 to 10, then E(t) = 0.5[10 + te"*), where , is the number of hours spent studying for an examination. If a student has up to 30 h for studying, how many hours are needed for maximum effectiveness? SOLUTION We wish to find the maximum value of the function EO-0510 + te- the interval 0 sIs 30. on First find critical numbers by determining E'(). EXAMPLE? solving an optimization problem involving an exponential model The effectiveness of studying for an exam depends on how many hours a student studies. Some experiments show that if the effectiveness, E, is put on a scale of 0 to 10, then E(t) = 0.5[10 + te"*), where , is the number of hours spent studying for an examination. If a student has up to 30 h for studying, how many hours are needed for maximum effectiveness? SOLUTION We wish to find the maximum value of the function EO-0510 + te- the interval 0 sIs 30. on First find critical numbers by determining E'()