Me if you can

identify the graph of the system of constraints then find the values of x and y that maximize the objective function.

The maximum is at (0,4)

Step-by-step explanation:

x≥0

y≥0

x+y ≤4

2x+y ≤6

We need to plot the four inequalities.  The left side has no axis.  The max is at 4.  The minimum is at 0  for the shaded area

When we have a system of constraints, the minimum and maximum are at the vertices of the graph

There are 4 points

(0,0)

The intersection point of the 2 lines which is (2,2)

The intersection at the y axis (0,4)

The intersection at the x axis is (3,0)

Once we have these points we put them into the constraint equation

C = 30x+50y

(0,0)

C = 0+0 = 0  This would be the trivial point since nothing happens

(0,4)

C = 0+50(4) = 200

(3,0)

C = 30*3 = 90

(2,2)

C = 30(2) + 50(2) = 60+100 = 160

The maximum is at (0,4)

The answer that i got was 8/3

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.