Data Equipment Inc

question 17

Essay

Data Equipment Inc. produces two models of a retail price scanner, a sophisticated model that can be networked to a central processing unit and a stand-alone model for small retailers. The major limitations of the manufacturing of these two products are labor and material capacities. The following table summarizes the usages and capacities associated with each product. The typical LP formulation for this problem is:
Maximize $160 X₁ + $95 X₂
Subject to: 8 X₁ + 5 X₂ ≤ 800
20 X₁ + 7 X₂ ≤ 1500
X₁, X₂ ≥ 0
However, the management of DEI has prioritized several goals that are to be attained by manufacturing:
(1) Since the labor situation at the plant is uneasy (i.e., there are rumors that a local union is considering an organizing campaign), management wants to assure full employment of all its employees.
(2) Management has established a profit goal of $12,000 per day.
(3) Due to the high prices of components from nonroutine suppliers, management wants to minimize the purchase of additional materials.
Given the above additional information, set this up as a goal programming problem.

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Definitions:

Mechanical Ventilator

A medical device that provides mechanical breathing support to patients who are unable to breathe adequately on their own.

Auscultate

To listen to the internal sounds of the body, typically using a stethoscope, as part of a medical examination.

Tracheostomy Ties

Bands or ties used to secure a tracheostomy tube to a patient's neck, ensuring the tube remains in place for proper breathing support.

Square Knot

A type of knot used for securing rope or line, characterized by its simplicity and reliability; often used for tying two ends of a string or rope together.