SOLUTION: 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
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Question 179413This question is from textbook
: 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
b) Find the The sales level that generates a daily profit of $30
c) Find the number of scoops
This question is from textbook
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
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
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