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Answer:
- Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0
- Objective formula: p = 45x +50y
- 200 YuuMi and 50 ZBox should be stocked
- maximum profit is $11,500
Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
__
A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
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A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
Can you please take a better picture
Answer:
a=54
Step-by-step explanation:
a+10+44=2a
54=2a-a
54=a
This can be solved by factoring.
First, set the expression equal to zero.
Then, find two the factors of
whose sum is
.
Split
into these two factors.
Next, factor by grouping.
By the Zero Product Property, set each factor equal to zero.
These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree
has exactly
complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done.
Your answers are -2 and 1/3. There are two real roots.
The equation that represents the linear function is y =32x
<h3>What is a linear function?</h3>
The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope
A linear function is represented as:
Where
- m represents slope
- c represents the y-intercept
The slope is calculated as:
So, we have:
The linear equation is then calculated as:
So, we have:
Hence, the equation that represents the linear function is y =32x
Read more about linear functions at:
brainly.com/question/14323743
