Practice Problem $1$ of Topic $2($slide $23)$

Practice Problem $1$

Happylife Manufacturing makes Fliptop model and Tiptop model of felt tip marking pens to maximize the total profit. Requirements for each lot of pens are given below.

The profit for either model is $$1000$ per lot.

$\backslash$table$[[,$Fliptop Model $($per lot$),$Tiptop Model$($per lof$),$Avallable$],[$Plastic $($pound$),3,4,36],[$Ink Assembly$($gallon$),5,4,40],[$Molding Time$($hour$),5,2,30]]$

a$.$ What is the linear programming model for this problem?

b$.$ Use$/$graphical method to find the optimal solution.

c$.$ Circle all the extreme points.

d$.$ Write the model in standard form. What are the values of the slacks$/$surpluses$?$

e$.$ Will there be excess capacity in any resource?

f$.$ Write the model in Lingo format.