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Marysya12 [62]
3 years ago
8

Just as you can enter a number by giving an equation that reduces to it, WeBWorK allows you to enter points and vectors by givin

g equations for the individual coordinates, or by using a vector-valued equation that reduces to your answer. For example,
<1-(-3),2-sqrt(4),6/2> and [1-(-3)]i + [2-sqrt(4)]j + (6/2)k
both represent the vector 4,0,3, while <1,0,-1> + <2,-2,3> could be used to answer a question that asks for the vector 3,2,2.
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0

Answer:

that would be invalid

Step-by-step explanation:

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1/2 yard =18 inches

(multiply value by 36)

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How do you find perimeter of a rectangle?
Paha777 [63]
You add the numbers of all 4 sides. 
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A manufacturing company produces 3 different products A, B, and C. Three types of components, i.e., X, Y, and Z, are used in the
Murljashka [212]

Answer:

Step-by-step explanation:

Using the Excel Formula:

Decision    Variable        Constraint              Constraint

A                     65                          65                         100

B                     80                          80                         80

C                     90                         90                          90

                      14100                    300                        300

= (150 *B3)+(80*B4) +(65*B5)-(100-B3+80-B4+90-B5)*90

Now, we have:

Suppose A, B, C represent the number of units for production A, B, C which is being manufactured

                             A              B                  C                Unit price

Need of X          2                 1                   1                     $20

Need of Y           2                3                  2                    $30

Need of Z           2                2                  3                    $25

Price of  

manufac -      $200          $240            $220      

turing

Now,  for manufacturing one unit of A, we require 2 units of X, 2 units of Y, 2 units of Z are required.  

Thus, the cost or unit of manufacturing of A is:

$20 (2) + $30(2) + $25(2)

$(40 + 60 + 50)

= $150

Also, the market price of A = $200

So, profit = $200 - $150 = $50/ unit of A

Again;

For manufacturing one unit of B, we require 1 unit of X, 3 units of Y, and 2 units of Z are needed and they are purchased at $20, $30, and 425 each.

So, total cost of manufacturing a unit of B is:

= $20(1) + $30(3) + $25(2)

= $(20 + 90+50)

= $160

And the market price of B = $240

Thus, profit = $240- $160  

profit = $80

For manufacturing one unit of C, we have to use 1 unit of X, 2 unit of Y, 3 units of Z are required:

SO, the total cost of manufacturing a unit of C is:

= $20 (1) + $30(2) + $25(3)

= $20 + $60 + $25

= $155

This, the profit = $220 - $155 = $65

However; In manufacturing A units of product A, B unit of product B & C units of product C.

Profit  --> 50A + 80B + 65C

This should be provided there is no penalty for under supply of there is under supply penalty for A, B, C is $40

The current demand is:

100 - A

80 - B

90 - C respectively

So, the total penalty

{(100 - A) + (80 - B) +(90 - C) } + \$40

This should be subtracted from profit.

So, we have to maximize the profit  

Z = 50A + 80B + 65C = {(100 -A) + (80 - B) + (90 - C)};

Subject to constraints;

we have the total units of X purchased can only be less than or equal to 300 due to supplies capacity

Then;

2A + B +C \le 300 due to 2A, B, C units of X are used in manufacturing A, B, C units of products A, B, C respectively.

Next; demand for A, B, C will not exceed 100, 80, 90 units.

Hence;

A \le 100

B \le 80

C \le 90

 

and A, B, C \ge 0 because they are positive quantities

The objective is:

\mathbf{Z = 50A + 80B + 65 C - (100 - A + 80 - B + 90 - C) * 40}

A, B, C \to Decision Varaibles;

Constraint are:

A \le 100 \\ \\  B \le 100 \\ \\ C \le 90 \\ \\2A + B + C \le 300 \\ \\ A,B,C \ge 0

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2 years ago
You buy a container of cat litter for $11.50 and a bag of cat food for x dollars. The total purchase is $16.80, which includes 5
NARA [144]

Answer:

4.46  

Step-by-step explanation:

(11.5 + x) + 5% = 16.8

11.5 + x = 16.8 - 5%

x = (16.8 - 5% ) - 11.5

x = 15.96 - 11.5

x = 4.46  

5 0
2 years ago
Read 2 more answers
Cuantos años hay 5823 días
jonny [76]

Answer:

16 anos

Step-by-step explanation:

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3 years ago
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