Consider the Following Linear Program

question 2

Essay

Consider the following linear program:
Max
60X + 43Y
s.t.
X + 3Y ≥ 9
6X − 2Y = 12
X + 2Y ≤ 10
X, Y ≥ 0
​
a.
Write the problem in standard form.
b.
What is the feasible region for the problem?
c.
Show that regardless of the values of the actual objective function coefficients, the optimal solution will occur at one of two points. Solve for these points and then determine which one maximizes the current objective function.

---

Definitions:

Registry System

A system for recording information and transactions, typically for assets like land, vehicles, or intellectual property.

Search Of Title

The process of examining public records to confirm a property's legal ownership and find out what claims or liens are on the property.

Joint Tenant

A form of co-ownership of property where two or more individuals hold equal shares and rights in the property, and upon the death of one owner, their share automatically transfers to the surviving co-owner(s).

Mortgage

A mortgage is a legal agreement by which a bank or creditor lends money at interest in exchange for taking the title of the debtor's property, with the condition that the conveyance of title becomes void upon the payment of the debt.