Consider the following linear programming problem: Minimize 
Subject to 
The above linear programming problem:
Definitions:
Personal Defenses
Legal defenses used in a lawsuit that are specific to the defendant, often relating to the contract's validity or terms.
Fraud in the Inducement
A deceitful act causing someone to enter into an agreement or contract by misrepresenting material facts or intentions.
Holder in Due Course
A party in possession of a negotiable instrument, such as a check or promissory note, acquired in good faith and thus protected against many defenses.
Negotiable Instrument
An official document certifying the payment of a particular sum of cash, either to be paid on demand or at an agreed-upon time, with the payer's name mentioned in the document.
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