Math Help!! See Below?

Question

The cost of producing a number of items x is given by
C = mx + b, in which b is the fixed cost and m is the variable cost (the cost ofproducing one more item).
If the fixed cost is $40 and the variable cost is $10, write the cost equation.
The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation.
How many items must be produced for the revenue to equal the cost (the break-even point)?

Answer 1

x is the number of items produced.

The total cost is $40, plus $10 for each item, so:

C (in dollars) = 10*x + 40

The revenue R is 50 times x, or

R = 50*x

So, if we are trying to find what x is when R = C

R = C
50*x = 10*x + 40
40*x = 40
x = 1

The total cost and revenue are equal after producing and selling one item.

Answer 2

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