The feasibility region on the graph for the inequality indicates that the situation that allows the needs to be met are;
(15, 15); no
(22, 12); yes
(10, 24); yes
(17, 17); yes
The steps that can be used to obtain the graph of the inequalities can be presented as follows;
Let x represent the number of hours work mowing lawn and let y represent the number of hours work at the clothing store, we get;
12·x + 10·y ≥ 350
x + y ≤ 35
y ≥ 10
The inequality, 12·x + 10·y ≥ 350, indicates that the equation for the graph is therefore;
y = 350/10 - 12·x/10
y = 35 - 1.2·x
x + y ≤ 35, indicates; y = 35 - x
y ≥ 10; indicates y = 10
Please find attached the graph of the inequality, created with MS Excel
The graph indicates that the feasibility region is the region within the triangle (0, 35), (21, 10), and (25, 10)
The above values and the graph of the inequalities indicates that the situations that allows the need to be met are; (22, 12), (10, 24), and (17, 17)