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A company manufactures two products, A and B, on machines I and II. The company will realize a profit of $3/unit of product A and a profit of $4/unit of product B. Manufacturing 1 unit of product A requires 6 min on machine I and 5 min on machine II. Manufacturing 1 unit of product B requires 9 min on machine I and 4 min on machine II. There are 15 hr of time available on machine I and 9 hr of time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? Find the range of values that the contribution to the profit of 1 unit of product A can assume without changing the optimal solution.
Find the range of values that resource associated with the time constraint on machine I can assume.
Find the shadow price for the resource associated with the time constraint on machine I.
New York
A state in the northeastern United States, known for its cultural, financial, and political influence, home to the city of the same name.
Military Draft
The compulsory enlistment of people in a national military service.
Confederate Government
The government formed by the southern states that seceded from the Union during the American Civil War, leading the Confederacy from 1861 to 1865.
Centralized Government
A form of government in which power is concentrated in a central authority, which has the control and jurisdiction over all political subdivisions.
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