linear inequalities

An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 3x + 15y Constraints x20, y20 xtys7 3x + y s 15 3x + 2y s 18 a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y at which the maximum occurs. 2 The figure shows the healthy weight region for various heights Healthy Weight Region for for people ages 35 and older. If x represents height, in inches, Men and Women, Ages 35 and Older and y represents weight, in pounds, the healthy weight region 240- can be modeled by the system of linear inequalities below. 220- 5 2X- 180 Using this information, show that point A is a solution of the 200- system of inequalities that describes healthy weight for this age 180- Healthy weight group. Region 160- 5.2x - y 2 180 wei 140- 120- 4.1x - y s 138 100 1 1x- - 138 x 60 62 64 66 68 70 72 74 76 78 Height (inches) Substitute the x- and y-coordinates of point A for x and y in the first inequality