What is the maximum value of the objective function, p, with the given constraints?
p=25x+45y
4x+y≤16
x+y≤10
x≥0
y≥0
a. 100
b. 410
c 450
d. 720

C. 450

Step-by-step explanation:

Plot the solution area for the system of four inequalities

You'll get the quadrilateral with vertices at points (0,0), (0,10), (2,8) and (4,0).

The maximum value of the function can be at vertices, so

The maximum value of the function is 450 at point (0,10)

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier