Revenue for selling x widgets is r=40x. Cost to produce widgets is c=30x+800. How many need to sell to break even?

The number of widgets to sell to break-even is:

Step-by-step explanation:

Remember that the break-even is the point where the revenues of the sales for a product or services is the same as the cost to produce them, now we have two formulas:

Where r is the revenue for selling x widgets, and:

Where c is the cost to produce widgets, taking into account the definition above, we can match:

or

Now we clear the variable x:

Now we know that when the enterprise sells 80 widgets, it will cover the cost to produce it with the revenues.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

addition

step-by-step explanation: