# Accession Number:

## ADA261825

# Title:

## A Mathematical Model for Fixed-Price-Incentive-Firm Contracts

# Descriptive Note:

## Master't thesis

# Corporate Author:

## NAVAL POSTGRADUATE SCHOOL MONTEREY CA

# Personal Author(s):

# Report Date:

## 1992-12-17

# Pagination or Media Count:

## 127.0

# Abstract:

This research focuses on a mathematical model for Fixed-Price- Incentive-Firm FPIF type contracts. The model revolves around the concept of a balanced trade-off among different options available to the user. At one extreme, the model develops a FPIF arrangement that gives the contractor a strong incentive to underrun costs, but strict penalties if he overruns. At the other extreme, the model develops a FPIF arrangement that gives the contractor minimal incentive to underrun, yet significant protection against an overrun. The mathematics of the model uses integral calculus to balance each of the options such that both the expected profit for the contractor and the expected cost to the Government do not change as the user selects different options. In this computation, the subjective probability density function for the cost is assumed to remain constant. This process attempts to accommodate the contractor based on his composite attitude toward risk and utility, yet does not obstruct the Governments objective to minimize cost.

# Descriptors:

# Subject Categories:

- Economics and Cost Analysis
- Personnel Management and Labor Relations
- Operations Research