The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . which equation can be used to find the tent's height? a. h=2b/√ 3 b. h=2/b√ 3 c. h=b√ 3/2 d. h=2b√ 3

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )