*

Solve each inequality for y and graph them to

show your feasible region.

y ≤ 400 – 2x

y ≤ 250 - .75x

x ≥ 0

y≥ 0

Identify the vertices (corners) of your feasible

region.

(333, 0)

(0, 250)

(0, 0)

(120, 160)

Evaluate your objective function at each

vertex.

P= 2x + 1.5y

(333, 0) : P= 2(333) + 1.5(0) = 666

(0, 250) : P= 2(0) + 1.5(250) = 375

(0, 0) : P= 2(0) + 1.5(0) = 0

(120, 160) : P= 2(120) + 1.5(160) = 480

State your result in context.

To maximize profit she should make 333 cups

and no plates.

Smile! You’re done!!

http://ak.imgag.com/imgag/product/createprint/3172442/3172442d.gif