Quadratic Equation Word Problem To Optimization (x) - Revenue with Price Change

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Quadratic Equation Word Problem To Optimization (x) - Revenue with Price Change Worksheet

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Quadratic Equation Word Problem To Optimization (x) - Revenue with Pr...
1
A movie theater sells 70 tickets for $3 each. For every $0.08 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.01
b A LaTex expression showing p = $0.04
2
A movie theater sells 70 tickets for $7 each. For every $0.08 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.06
b A LaTex expression showing p = $0.07
c A LaTex expression showing p = $0.04
3
A lemonade stand sells 40 drinks for $4 each. For every $0.05 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.01
b A LaTex expression showing p = $0.02
4
A movie theater sells 40 tickets for $8 each. For every $0.08 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.03
b A LaTex expression showing p = $0.02
c A LaTex expression showing p = $0.01
5
A lemonade stand sells 20 drinks for $10 each. For every $0.11 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.06
b A LaTex expression showing p = $0.00
c A LaTex expression showing p = $0.01
6
A movie theater sells 60 tickets for $10 each. For every $0.10 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.05
b A LaTex expression showing p = $0.10
c A LaTex expression showing p = $0.03
7
A movie theater sells 100 tickets for $4 each. For every $0.06 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.08
b A LaTex expression showing p = $0.05
c A LaTex expression showing p = $0.03
8
A lemonade stand sells 90 drinks for $11 each. For every $0.11 increase in price 1 fewer will be sold.
What price would maximize the revenue?
a A LaTex expression showing p = $0.05
b A LaTex expression showing p = $0.09
c A LaTex expression showing p = $0.11