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Luden [163]
3 years ago
15

GE produces 5 different sizes of TVs using 2 machines. Different sizes of TVs take different amount of time to get processed at

each of the two machines, and bring in different amount of profit for the company per unit. GE has a limited amount of time to process TVs during each month but would like to find out how many of each size of TV to produce each month to maximize its total profit.
How many decision variables are needed to properly formulate this problem?

Select one:

a. 2

b. 7

c. 5

d. Cannot be determined with the given amount of information

e. 10
Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

Option # C: 5

Step-by-step explanation:

Decision variables, as the name imply are entities that can have different values in the given scenario and which in turn produce different outcomes. For our question, the variables are the sizes of TVs available, as the production time and profit depend on the sizes. Hence, TV sizes (i.e. 5) are our decision variables.

Furthermore, it does not matter on which machine the TVs are being manufactured as they will take identical time for same TV size. Thus we do not consider the number of machines as our decision variables.

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Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the $2$ main diagonals
Mariulka [41]

The property  of equality of the rows, columns, and diagonals in the magic

square can be used to find the value of <em>n</em>.

The value of <em>n</em> is 6

Reasons:

The magic square can be presented as follows;

\begin{array}{|c|c|c|}n-2&3&n + 2\\n + 3&n - 1&1\\2&2 \cdot n - 5&n\end{array}\right]

Given that the sum of the numbers in each row and in each column and in

each of the two diagonals are equal, to find the value of <em>n</em>, two rows having

different number of the variable <em>n</em> can be equated as follows;

The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n

n - 2 + 3 + n + 2 = 2 + 2·n - 5 + n

2·n + 3 =  3·n - 3

3·n - 3 = 2·n + 3 (symmetric property)

3·n - 2·n = 3 + 3

n = 6

Learn more here:

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4 0
3 years ago
David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t)
sesenic [268]

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

6 0
3 years ago
Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

3 0
3 years ago
What percentage is the shaded area
Papessa [141]

Answer:

50%

Step-by-step explanation:

50% because it is halfways shaded

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 11. The larger number is 1 less than twice the smaller number. What are the two numbers?
zysi [14]

Answer:

2x-1 and 11-x are both answers

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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