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Rainbow [258]
4 years ago
13

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

Mathematics
2 answers:
frosja888 [35]4 years ago
8 0

Answer:

116 computers.

Step-by-step explanation:

We have been given cost function and revenue function for AB Computer Company. We are asked to find the break-even point.

We know that break-even is a point, when total cost is equal to total revenue that is company make no profit or no loss.

To find break-even, we will equate cost function with revenue function and solve for x as:

c(x)=145+\frac{1}{4}x

r(x)=1.5x

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

145+0.25x=1.5x

1.5x=145+0.25x

1.5x-0.25x=145+0.25x-0.25x

1.25x=145

\frac{1.25x}{1.25}=\frac{145}{1.25}

x=116

Therefore, the AB Computer Company must sell 116 computers to break-even.

stealth61 [152]4 years ago
6 0

Answer: 10\ computers

Step-by-step explanation:

To solve this exercise it is important to remember the cost must be equal to the revenue in order to break even.

In this case, given the Cost function:

c(x)=145+\frac{1}{4}x

And given the Revenue function:

r(x)=15x

We must equate them:

c(x)=r(x)\\\\145+\frac{1}{4}x=15x

Since "x" represents the number of computers that AB Computer Company must sell to break even, we have to solve for "x" in order to find its value.

Then:

145+\frac{1}{4}x=15x\\\\145=15x-\frac{1}{4}x\\\\145=14.75x\\\\x=9.83\\\\x\approx10

Therefore, the AB Computer Company must sell 10 computers to break even.

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