Answer :
Answer:
They must sell 40 shirts to break even
Step-by-step explanation:
The break-even point is that point where the cost and revenue graphs intersect.
Up front,
expenditures are $280 + ($3.99)t, and this is to be set equal to revenue: ($10.99)t:
[tex](\$ 10.99)t = \$ 280 + (\$ 3.99)t.[/tex]
Begin solving this by subtracting ($3.99)t from both sides of this equation. The result is
[tex](\$ 10.99-\$ 3.99t)t = \$ 280 + (\$ 3.99t - \$ 3.99t)[/tex]
[tex]\$ 7t=\$ 280t[/tex]
($7/shirt)t = $280.
Dividing both sides by ($7/shirt), we get
[tex]t=\frac{\$ 280}{\$ 7}[/tex]
t = $40
Revenue will equal costs (expenses) when these students have sold 40 shirts.
Therefore,they must sell 40 shirts to break even