Candy bars are sold at a local store for 60 cents each. the factory has $1000 in fixed costs plus 10 cents of additional expense for each candy bar made. assuming all candy bars manufactured can be sold, find the break-even point

Let the number of candybars made be x. We first need to find an equation for revenue, which is profit - cost.

Lets work out what profit is first. Each candybar sells for 60 cents, therefore 0.60x represents how much profit is made from the candybars.

Next, lets work out cost. We know there's a fixed cost of 1000 plus the cost per bar which is 0.10x. So the equation for cost is 1000 + 0.10x.

Finally, lets solve for revenue.

R = 0.60x - (1000 + 0.10x)

R = 0.60x - 1000 - 0.10x

R = 0.50x - 1000

So, this is our revenue equation. To break even means that revenue is 0. The company isn't making or losing any money. Therefore, we can set this equation to 0 to find how many bars need to be made to break even.

0 = 0.50x - 1000

1000 = 0.50x

2000 = x

Thus, the company needs to make 2000 candy bars to break even.

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