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Nataly [62]
3 years ago
8

How many computers must the AB Computer Company sell to break even? Let x be the number of computers.

Mathematics
2 answers:
Elanso [62]3 years ago
5 0

Answer:

The Company AB must sell 116 computers to break even

Step-by-step explanation:

we have

R(x)=1.5x -----> equation A

C(x)=145+\frac{1}{4}x ----> equation B

where

C is the cost function

R is the revenue function

x is the number of computers sold

we know that

Break even is when the cost is equal to the revenue

so

equate equation A and equation B

1.5x=145+\frac{1}{4}x

Solve for x

subtract 1/4x both sides

1.5x-\frac{1}{4}x=145\\1.5x-0.25x=145\\1.25x=145

Divide by 1.25 both sides

x=116

therefore

The Company AB must sell 116 computers to break even

77julia77 [94]3 years ago
5 0

Answer:

<u>AB Computer Company must sell 116 computers to break even.</u>

Step-by-step explanation:

1. Let's check the information given to resolve the case:

Cost Function: C (x) = 145 + 1/4x

Revenue Function: R (x) = 1.5x

Break even is the point in which total cost and total revenue are equal

2. Let's use this formula to find out the break even point and the number of computers necessary to sell:

Revenue - Cost = 0

1.5x - (145 + 1/4x) = 0

1.5x - 145 - 0.25x = 0 (1/4 = 0.25)

1.25x  - 145 = 0

1.25x = 145 (Adding 145 to both sides of the equation)

x = 145/1.25 (Dividing by 1.25 at both sides)

<u>x = 116</u>

<u>AB Computer Company must sell 116 computers to break even.</u>

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iVinArrow [24]

Answer:

Step 1:

Start by setting it up with the divisor 10 on the left side and the dividend 179 on the right side like this:

             

 1 0 ⟌ 1 7 9

Step 2:

The divisor (10) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 0 ⟌ 1 7 9

Step 3:

Multiply the divisor by the result in the previous step (10 x 0 = 0) and write that answer below the dividend.

       0    

 1 0 ⟌ 1 7 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 6:

The divisor (10) goes into the bottom number (17), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (10 x 1 = 10) and write that answer at the bottom:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

       1 0  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 10 = 7) and write the answer at the bottom.

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 10:

The divisor (10) goes into the bottom number (79), 7 time(s). Therefore put 7 on top:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 11:

Multiply the divisor by the result in the previous step (10 x 7 = 70) and write the answer at the bottom:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

         7 0

Step 12:

Subtract the result in the previous step from the number written above it. (79 - 70 = 9) and write the answer at the bottom.

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

     -   7 0

           9

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 179 divided by 10 calculated using Long Division is:

17

9 Remainder

Step-by-step explanation:

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