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crimeas [40]
3 years ago
6

If you add a constraint to an optimization model, and the previously optimal solution satisfies the new constraint, will this so

lution still be optimal with the new constraint added?
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

Yes, this solution will still be optimal with the new constraint added.

Step-by-step explanation:

An optimization model is a translation of the key characteristics of the business problem you are trying to solve. The model consists of three elements: the objective function, decision variables and business constraints.

How do I create an optimization problem?

  • Optimization Problem Setup
  • Choose a Solver. Choose the most appropriate solver and algorithm.
  • Define Objective Function. Define the function to minimize or maximize, representing your problem.
  • Define Constraints. Provide bounds, linear constraints, and nonlinear constraints.
  • Set Options. Set optimization options.
  • Parallel Computing.
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When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard devia
iragen [17]

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

4 0
3 years ago
Izzy hits a ball of a tee 2 feet off the ground, with an initial velocity of 64 feet per second. What will be the maximum height
OLEGan [10]

Answer:

Step-by-step explanation:

I figured this out with calculus since it's easier that way. The position function for the ball is

s(t)=-16t^2+64t+2. The first derivative of position is velocity, so we need to find the first derivative of the position function which is

v(t) = -32t + 64

Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:

s(2)=-16(2)^2+64(2)+2 and

s(2) = 66 feet. The max height of the ball is 66 feet.

7 0
3 years ago
The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
Natalka [10]
It looks like you are missing one value in your table. You have 6 sides of the die, however only 5 outcomes. Without this, we can't get a final answer. However, I can tell you how to solve the problem.

For the experimental probability, you need to add up all the 2's and 4's. Then, divide that number by the total amount of numbers. <span />
4 0
3 years ago
Find the slope of the line that passes through these two points.<br> (4,3) (5,8)<br><br> m = [?]
Semmy [17]

Answer:

Hence the slope of a line is 2

(3,4) and (5,8)

Slope of a line= 8–4/5–3 (y2-y1/x2-x1)

4/2

2

8 0
2 years ago
F(x) = x^2 + 7x-4 find the second derivative
Ulleksa [173]

We know that f(x) = 7x + 8. So, take the derivative of this function with respect to x.

This gives

f'(x) = 7

Now, you probably realized that the x value disappeared. This means that no matter what value of x you use, the derivative of this function is always going to be 7, even at x = 5. That is, the rate of change of this function is always going to be a rate of 7.

5 0
3 years ago
Read 2 more answers
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