Question 985669
a. 
{{{y=12x-5x^2 }}}
Maximum occurs when first derivative=0
{{{dy/dx=12-10x}}} Set=0
{{{0=12-10x}}}
{{{10x=12}}}
{{{x=12/10}}}={{{6/5}}} Maximum value when x=6/5.
.
{{{y=12x-5x^2}}}
{{{y=12(6/5)-5(6/5)^2}}}
{{{y=72/5-5(36/25)}}}
{{{y=360/25-180/25}}}={{{180/25=7.2}}}
ANSWER: Maximum value is 7.2.
.
Please limit to one question per post.