Give the Mathematical Formulation of the Linear Programming Problem

question 4

Essay

Give the mathematical formulation of the linear programming problem. Graph the feasible region described by the
constraints and find the corner points. Do not attempt to solve.
-Suppose an horse feed to be mixed from soybean meal and oats must contain at least 200 lb of protein and 40 lb
of fat. Each sack of soybean meal costs $20 and contains 60 lb of protein and 10 lb of fat. Each sack of oats costs
$10 and contains 20 lb of protein and 5 lb of fat. How many sacks of each should be used to satisfy the minimum
requirements at minimum cost?

---

Definitions:

Decision Making

The process of choosing among alternative courses of action or solutions to a problem in order to achieve a desired outcome.

Outside Supplier

An outside supplier is an external entity that provides goods or services to a company, typically not affiliated with the company’s internal supply chain.

Fixed Manufacturing Overhead

Costs related to the production process that do not change with the volume of production, such as salaries of manufacturing supervisors and rent for the factory.

Direct Labor

The wages and other costs for labor directly involved in the production of goods.