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:

S-shaped Tube

A tube that bends in two places forming an S shape, often used in laboratory setups for liquid or gas flow.

Auditory Tube

A tube that connects the middle ear to the nasopharynx, helping to equalize pressure on both sides of the eardrum.

Membranous Labyrinth

A network of fluid-filled passages and sacs within the inner ear, involved in hearing and balance.

External Acoustic Meatus

The canal leading from the outer ear to the eardrum, facilitating the conduction of sound waves.