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AnnyKZ [126]
3 years ago
9

The constraint 5x 1 + 3x 2 ≤ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of t

he following is appropriate? a. Min P1d1− ; 5x1 + 3x2 + d1− − d1+ = 150 b. Min P1d1+ ; 5x1 + 3x2 + d1− − d1+ = 150 c. Min P1d1+ ; 5x1 + 3x2 + d1+ = 150 d. Min P1d1+ ; 5x1 + 3x2 − d1+ = 150
Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

c. Minimize P,d1+; 5x1 + 3x2 + d1+ = 150

Step-by-step explanation:

5x1 + 3x2 = 150. To convert an equality, we simply add an “artificial” variable (d1) to the equation: 5X1 + 3X2 + d1 = 150 An artificial variable is a variable that has no physical meaning in terms of a real-world LP problem. It simply allows us to create a basic feasible solution to start the simplex algorithm. An artificial variable is not allowed to appear in the final solution to the problem. Here in this problem to avoid over utilization, we introduce this artifical variable.

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Find t20 for the arithmetic sequence in which t1 = 36 and t3 = 28,
Galina-37 [17]
Hey there! I’m happy to help!

We want to look for the twentieth term in this sequence. Because it is arithmetic, this means that the same term will always be added or subtracted.

As we can see, our first term is 36 and then the third is twenty eight. This is a difference of eight, and since our subtracted term will always be the same, we will take this eight and divide it by two, so we can now see that we are subtracting four for each term.

To find the twentieth term, you could count, but that would be a hassle. You can also use the arithmetic sequence formula, which I will show below.

You take the desired term (20)

Subtract 1 (19)

Multiply it by the common term/difference (19*-4=-76)

And then add the first number of the sequence (-76+36= -40)

You can now do those exact same steps for any arithmetic sequence you are dealing with!

So, your twentieth term is -40!

I hope that this helps!



8 0
4 years ago
1. Which of the following is not a property of all rhombi?
Dimas [21]
(1) both pairs of opposite angles are congruent. Opposite angles are equal not congruent
5 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
Crank

Answer:

7/10

Step-by-step explanation:

hope this helps

6 0
3 years ago
The pizza parlor is running a special on 3-toppings pizzas. The topping choices include pepperoni, sausage, bacon mushrooms, oni
choli [55]

Answer:

Well there are 6 toppings. For one person to select sausage, it is  \frac{1}{6} . For two people, multiply them together and the probability is  \frac{1}{36}

4 0
3 years ago
The sum of two numbers is 70. When the smaller number is subtracted from the bigger number, the result is 24. Find the numbers.
zalisa [80]
47 & 23.

47-23 = 24

47+23 = 70
6 0
3 years ago
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