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A Company Makes Products a and B from 2 Resources

question 58

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A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of product A costs 25 to make and demand is estimated to be 20 - .10 * Price of A. A unit of product B costs 18 to make and demand is estimated to be 30 - .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200. A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of product A costs 25 to make and demand is estimated to be 20 - .10 * Price of A. A unit of product B costs 18 to make and demand is estimated to be 30 - .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200.    Let X<sub>1</sub> = demand for As and X<sub>2</sub> = demand for Bs. Let P<sub>1</sub> = price for As and P<sub>2</sub> = price for Bs. The objective function for this problem is? A) MAX 25 X<sub>1</sub> + 18 X<sub>2</sub> B) MAX (20 -0.10*P<sub>1</sub>)  X<sub>1</sub> + (30 - 0.07*P<sub>2</sub>)  X<sub>2</sub> C) MAX 20 P<sub>1</sub> - 0.1 P<sub>1</sub><sup>2</sup> + 30 P<sub>2</sub> - 0.07 P<sub>2</sub><sup>2</sup> - 1040 D) MAX 22.5 P<sub>1</sub> - 0.1 P<sub>1</sub><sup>2</sup> + 31.26 P<sub>2</sub> - 0.07 P<sub>2</sub><sup>2</sup> - 1040
Let X1 = demand for As and X2 = demand for Bs.
Let P1 = price for As and P2 = price for Bs.
The objective function for this problem is?

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Definitions:

Rewards

Benefits or recognition given as a result of one’s accomplishments, efforts, or desired behaviors, aimed at motivating or showing appreciation.

Inconsistency

the state of being not consistent in actions, values, or methods.

Attitudes

A settled way of thinking or feeling about something, typically reflected in a person's behavior.

Behavior

The actions, reactions, or conduct of an organism, often in response to its environment or stimuli.

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