a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
ms and at most 300 video games per week. Total production cannot exceed 435 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve.
2 answers:
Answer:
To achieve maximum profit, the weekly production should be 200 software programs and 235 video games.
Step-by-step explanation:
Let:
x ------> represent the number of software programs
y -----> denote the count of video games
We are aware that
------> inequality A
------> inequality B
------> inequality C
Utilizing a graphing method
The feasible solutions exist in the area marked between the positive values of x and y
Refer to the attached diagram
The vertices of this area are:
(0,0),(0,300),(135,300),(200,235),(200,0)
The profit function computes as:
Plugging the x and y values from each vertex into the profit function, we get:
For (0,300) -----
For (135,300) -----
For (200,235) -----
For (200,0) -----
Consequently,
To optimize the profit, the weekly production should consist of 200 software programs and 235 video games.
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Answer:
For a clearer understanding, refer to the attached figure:
Step-by-step breakdown:
1. According to the unique line postulate, only one line segment can be created: BC
This is because a single line can only connect two distinct points.
2. Utilizing the definition of reflection, reflect BC across l.
To identify the line segment reflected over l, we will apply the reflection definition.
3. Based on the reflection definition, C remains as its own image and A represents the image of B.
The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.
4. Because reflections maintain length, we find that AC = BC
In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.
