Question 1177950

{{{3x+7y <=35}}}
{{{2x+2y <= 18}}}
------------------solve this system and find intersection point

{{{3x+7y <=35}}}..........solve for {{{y}}}
{{{7y <=35-3x}}}
{{{y <=35/7-3x/7}}}
{{{y <=5-3x/7}}}...........eq.1



{{{2x+2y <= 18}}}.......divide dy {{{2}}}
{{{x+y <= 9}}}
{{{y <= 9-x}}}...........eq.2

equal ight sides in eq.1 and eq.2

{{{5-3x/7=9-x}}}
{{{x-3x/7=9-5}}}
{{{(7x-3x)/7=4}}}
{{{7x-3x=4*7}}}
{{{4x=4*7}}}
{{{x=(cross(4)*7)/cross(4)}}}
{{{x=7}}}

{{{y <= 9-x}}}... substitute {{{x}}}
{{{y <= 9-7}}}
{{{y <= 2}}}

intersection point is: ({{{7}}},{{{2}}})

profit is

{{{P=62x+63y}}}....substitute {{{x}}} and {{{y}}}

{{{P=62*7+63*2}}}

{{{P=560}}}