Question

The cost C to produce x numbers of VCR’s is C = 1000 + 100x. The VCR’s are sold wholesale for $150 each, so the revenue is given by R = 150x. Find how many VCR’s the manufacturer needs to produce and sell to break even

Answer 1

Answer:

the answer is 1000

Step-by-step explanation: bc it mean i idk sorry

Answer 2

For the Cost of production and the selling price to break even, the manufacturer should produce and sell 20 VCRs.

Given:

The Cost (C) to produce 'x' numbers of VCRs is = C = 1000 + 100x

The selling Price of each VCR at wholesale rate is =  $150

To Find:

How many VCRs the manufacturer needs to produce and sell to break even =?

Solution:

Here, Since the selling price of each VCR is  $150,

∴ The total revenue generated by selling 'x' VCRs =  $150x

Now, According to the question,

The manufacturer wants to break even the amount he requires to produce the VCRs and the amount he obtains by selling them at a wholesale rate

i.e., He wants neither profit nor any loss in the deal.

So, To achieve this let's say he needs to manufacture 'x' VCRs;

∴  Cost of Production (C) = Total Revenue generated (R)

⇒  1000 + 100x = 150x

⇒  1000 = 150x - 100x

⇒  1000 = 50x

⇒  x = $\frac{1000}{50}$

⇒  x = 20

Hence, a total of 20 VCRs need to be produced and sold to break even.

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