Skill Qualification Task 11 – Linear Programming This questions
involves optimization.Generally our objective, in business and
manufacturing problems, is to maximize profit under circumstances
of resource constraints.Linear programming can also seek to
minimize outcomes, say in the case of waste in a process, but here
we will look to a few examples of profit maximization under
resource constraints. Our examples are simple, often involving just
two products and two constraints but the objective in this skill
qualification task is to understand what linear programming is
about. Solving these problems by hand with multiple product and
constraints can become very complicated and time-consuming.

Required: First we want to write the Object Equation. Second we
write the constraints (Time Constraint and Material Constraint).
Three we draw the graph: Step 1 plot the Time Constraint: Step 2
pot the Material Constraint:. Step 3 – simultaneous equations. Step
4 – Test the candidate points

Question

Life on earth has become hell. Zombies and Mummies run amuck and
kill people in unpleasant ways. To avoid being killed and to
prosper you have set up shop selling Tannis Leaf Life Giving
Potions that sustain Zombies and Mummies. You can sell a Mummy Life
Potion for $300 and a Zombie Life Potion for $100. It requires 5
liters of Putrid Slurry to make a Zombie Potion and 10 liters to
make a Mummy Potion. Then for the magic: both Zombie and Mummy
potions require exactly 4 Tannis leaves. In the back room you have
500 liters of Putrid slurry and 320 Tannis leaves. In order to
maximize revenue, what is the ideal number of Mummy Life Potions
and Zombie Life
Potions?