SOLUTION: Jessica sells T-shirts from her small kiosk in the shopping mall. On average, she sells 30 T-shirts per day at a price of $19.00 each. She estimates that she will sell 3 additiona
Algebra.Com
Question 1014285: Jessica sells T-shirts from her small kiosk in the shopping mall. On average, she sells 30 T-shirts per day at a price of $19.00 each. She estimates that she will sell 3 additional shirts each day for every $1 reduction in the price per T-shirt.
Find a quadratic function modeling Jessica's daily revenue as related to reduction in price and the range of prices which would allow her to maintain or increase her current revenue.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of $1 increases in price
Let = daily revenue
-------------------------
Note that if there are no reductions in price ( )
Then which is
--------------------------
What is the other value of that gives me ?
Her revenue will be equal to or greater than $570 if the
$1 increases are between and
That converts to price ranges of:
dollars/shirt
to
dollars/shirt
-----------------------------
Here's a plot of and
and
RELATED QUESTIONS
Frieda sells T-shirts at a market. If she charges R50 per shirt she sells 26 shirts per... (answered by josgarithmetic)
Mia sells T-shirts from a booth at a market.
She pays $30 to rent the booth. Each... (answered by Boreal)
A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt... (answered by MathTherapy)
A clothes store sells boots, shoes and shirts. Each day, on
average, three times as many (answered by Theo)
Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal... (answered by oberobic,stanbon)
A clothing store sells men's shirts at $152 and $205 per shirt the store sells 32 shirts... (answered by richwmiller)
1. A garment store sells about 40 t-shirts per week at a price Php 100 each, 10 decrease... (answered by Boreal)
Nielsen’s fine clothing store spends 30 percent of its $380,000 wholesale clothing... (answered by schrammbledeggs)
Miss. Stanley has $60 in her wallet. She wants to buy a pair of jeans from the mall for... (answered by greenestamps)