A. The order in which you define the variables isn't fixed. For the sake of this discussion, let's define them like this:
x = Number of bookshelves
y = Number of tables
B. Due to the total number of items to produce, we have the following inequality based on those variables.
x + y > 25
Additionally, you can create a second inequality concerning your budget for materials.
20x + 45y < 675
Moreover, you should also add that both values must not be negative, since you can't produce negative tables.
C. By analyzing the constraints and solving the system, you will find that the feasible region contains 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you prefer to round it.
2(2w-5) + 2w = 50
4w - 10 + 2w = 50
6w - 10 = 50
6w = 60
w = 10
The length is calculated as 2(10) - 5 = 20 - 5 = 15
I hope this is useful!!
The dimensions are 58 ft × 58 ft. Step-by-step explanation: Let the length of the region be represented as x feet, and the width as y feet. Given a perimeter of 234 feet, the area A can be represented as xy. By differentiating the equation with regards to x, we can determine the point of maximum area, revealing that for x = 58.5 feet, the area's maximum occurs when both dimensions are 58.5 ft.
The question requires completion since the inventory data is absent.
