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A Craftsman Builds Two Kinds of Birdhouses, One for Wrens

question 52

Essay

A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes four hours of labor and four units of lumber. Each bluebird house requires two hours of labor and twelve units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses profit $6 each and bluebird houses profit $15 each.
Use the software output that follows to interpret the problem solution. Include a statement of the solution quantities (how many of which product), a statement of the maximum profit achieved by your product mix, and a statement of "resources unused" and "shadow prices." A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes four hours of labor and four units of lumber. Each bluebird house requires two hours of labor and twelve units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses profit $6 each and bluebird houses profit $15 each. Use the software output that follows to interpret the problem solution. Include a statement of the solution quantities (how many of which product), a statement of the maximum profit achieved by your product mix, and a statement of  resources unused  and  shadow prices.


Definitions:

Intangible

Describes something that cannot be physically touched or measured, such as services, brand reputation, or intellectual property.

Reliability

The degree to which a service, tool, or system consistently performs according to its intended or required outcome without failure.

Responsiveness

The speed and quality with which an organization reacts to customer inquiries, complaints, or orders.

Assurance

A guarantee or pledge, often used in the context of service quality, ensuring customer satisfaction.

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