x/12-/4)+y/50+80
subject to the constraint y=60x-480 (and with 8 
x
18). Decimal approximations are completely acceptable in this context,
but must be accurate to at least two decimal places.
Each problem is worth 5 points. For full credit indicate clearly how
you reached your answer.
1. Use Lagrange multipliers to find the maximum and minimum values of
the function f(x,y)=3x+4y subject to the constraint x2+y2=25.
2. Use Lagrange multipliers to find the maximum value of the function
f(x,y)=-15cos(x/12-/4)+y/50+80
subject to the constraint y=60x-480 (and with 8
x
18). Decimal approximations are completely acceptable in this context,
but must be accurate to at least two decimal places.