Mike D. answered • 02/19/21

Effective, patient, experienced math tutor who can help you succeed

Well suppose you produce x cases of soda and y of juice.

Then

x >= 0

y >= 0

Malt constraint : 2x + y <= 160

Sugar constraint : 3x + 4y <= 340

Profit = 30 (x+y).

So graphically.

On Desmos plot the feasible region, bounded by

x=0

y=0

2x+y = 160

3x+4y = 340

On your graph find the vertices of this region

At each vertex find (x,y) and calculate 30 (x+y)

Choose the vertex with the highest value of 30 (x+y)

That gives you the required number of cases