Bikes'r'us manufactures bikes, which sell for $250. it costs the $180 per bike, plus a startup fee of $3,500. after how many bikes sold will the manufacturer break even?

The bikes sold at break even by the manufacturer is 50 units

Explanation:

We know that break even point is given by  the following formula,

We are given startup fee = $3500 which is the fixed cost,

the bikes sell for $250 which is the price per unit and

cost per bike is equal to $180

So substituting these values in the formula we get

=

=  = 50

= 50 units which is the number of bikes sold at break even by the manufacturer.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

step-by-step explanation: