1313_section3o2

# 1313_section3o2 - Section 3.2 Linear Programming Problems A...

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1 Section 3.2 Linear Programming Problems A function subject to a system of constraints to be optimized (maximized or minimized) is called an objective function. A system of equalities or inequalities to which an objective function is subject to are called constraints. An objective function subject to a system of constraints is called a linear programming problem. Example 1: The Soundex Company produces two models of clock radios. Each model A requires 15 min of work on assembly line I and 10 min of work on assembly line II. Each model B requires 10 min of work on assembly line I and 12 min of work on assembly line II. At most, 23 hr of assembly time on line I and 22 hr of assembly time on line II are available per Soundex’s work day. It is anticipated that Soundex will realize a profit of \$12 on each model A and \$10 on each model B. How many clock radios of each model should be produced per day in order to maximize Soundex’s profit? a.

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1313_section3o2 - Section 3.2 Linear Programming Problems A...

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