Question

determine the point of intersection and the break - even point for the graph. then, state the least number of items that must be sold in order to make a profit.
enter the answer in each space provided. use numbers instead of words.
point of intersection (, )
break - even point commemorative basketballs
at least commemorative basketballs must be sold to make a profit.

Explanation:

Step1: Locate intersection on graph

Find where Income and Production Cost lines cross. The intersection has coordinates $(10, 150)$, where $x$ = number of basketballs, $y$ = money.

Step2: Identify break-even point

Break-even point equals the $x$-value of the intersection, since this is the number of units where income = cost.

Step3: Find profit threshold

To make a profit, sell 1 more unit than break-even.
<Expression>
$10 + 1 = 11$
</Expression>

Answer:

Point of Intersection: $(10, 150)$
Break-even Point: 10 commemorative basketballs
At least 11 commemorative basketballs must be sold to make a profit.