Use the simplex method.

Minimizeg=10x+7y+12z

subject to

x+y+z4y+2z6x1.

(x,y,z) =

g=

Use the simplex method to find the optimal solution. Assume all variables are nonnegative.

Minimizef=2x+6ysubject to the following constraints.

x5y14x+y2

x=y=f=

The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble32units of the Star model and44units of the Prostar model per hour, and line 2 can assemble160units of the Star model and44units of the Prostar model per hour. The company needs to produce at least288units of the Star model and220units of the Prostar model to fill an order. If it costs $200per hour to run line 1 and $400per hour to run line 2, how many hours should each line be run to fill the order at the minimum cost?

line 1hrline 2hr

What is the minimum cost?

$