Question 179413
A frozen yogurt stand makes a profit of P(x) = $0.50x - 20 dollars when selling x scoops of yogurt per day.
a) Find the break-even sales level, that is, the level at which P(x) = 0
P(x) = $0.50x - 20
0 = 0.50x - 20
20 = 0.50x
40 scoops = x
.
b) Find the The sales level that generates a daily profit of $30
P(x) = $0.50x - 20
"Sales level" is the "$0.50x" portion of the equation so
Let y = sales level
30 = y - 20
$50 = y
.
c) Find the number of scoops
P(x) = $0.50x - 20
30 = 0.50x - 20
50 = 0.50x
100 scoops = x