Soundex Produces Two Models of Clock Radios

question 85

Multiple Choice

Soundex produces two models of clock radios. Model A requires 15 min of work on assembly line I and 10 min of work on assembly line II. Model B requires 12 min of work on assembly line I and 20 min of work on assembly line II. At most 21 hr of assembly time on line I and 20 hr of assembly time on line II are available each day. Soundex anticipates a profit of $12 on model A and $10 on model B. Because of previous overproduction, management decides to limit the production of model A clock radios to no more than 80/day. ​
To maximize Soundex's profit, how many clock radios of each model should be produced each day? Find the range of values that the contribution to the profit of a model A clock radio can assume without changing the optimal solution. Identify the binding and nonbinding constraints.
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• A) Produce 61 of model A, 34 of model B; maximum profit of $1,059; Range: ; Constraints 1 and 3 are binding; constraint 2 is not. ​
• B) Produce 30 of model A, 60 of model B; maximum profit of $1,020; Range: ; Constraints 1 and 2 are binding; constraint 3 is not. ​
• C) Produce 60 of model A, 30 of model B; maximum profit of $1,020; Range: ; Constraints 1 and 2 are binding; constraint 3 is not. ​

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Definitions:

Lincoln-Douglas Debates

A series of seven debates in 1858 between Abraham Lincoln and Stephen A. Douglas, focused on the issue of slavery's expansion into the American territories, which had profound implications for the political landscape leading up to the Civil War.

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The freedom or right permitting one to carry out actions, express thoughts, or consider ideas in an uninhibited and unrestricted manner.

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Civil War

A conflict from 1861 to 1865 in the United States between the northern states (Union) and southern states (Confederacy) primarily over the issues of slavery and states' rights.