SOLUTION: What to do: a. Make a diagram of the situation. b. Plot the number of t-shirt sell, time (per week) and cost (in peso) and answer the following: 1.) Write a quadratic function i

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: What to do: a. Make a diagram of the situation. b. Plot the number of t-shirt sell, time (per week) and cost (in peso) and answer the following: 1.) Write a quadratic function i      Log On

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Question 1169348: What to do:
a. Make a diagram of the situation.
b. Plot the number of t-shirt sell, time (per week) and cost (in peso) and answer the following:
1.) Write a quadratic function in standard form that models the revenue from t-shirt sales.
2.) What price produces the maximum revenue?
Scenario #2
A garments store sells about 40 t-shirts per week at a price of Php100 each. For each Php10 decrease in price, the sales lady found out that 5 more t-shirts per week were sold.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
PRICE       QTY       REVENUE
100         40         (100)(40)
100-10      40+5        (100-10)(40+5)
.
.
100-x      40+x/2      (100-x)(40+x/2)

R%28x%29=%28100-x%29%2840%2Bx%2F2%29 for each dollar decrease in price x.

Middle of the two roots is at x=10, for maximum revenue.

Price for max. revenue, 90Php.