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Quadratic Equation Word Problem To Optimization (x) - Profit by Volume

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.

WorksheetView

Quadratic Equation Word Problem To Optimization (x) - Profit by Volume Worksheet

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Quadratic Equation Word Problem To Optimization (x) - Profit by Volume
1
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -4v to the power of 2 + 7v + 5
a A LaTex expression showing v = 2.125
b A LaTex expression showing v = 0.875
2
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -7v to the power of 2 + 7v + 5
a A LaTex expression showing v = 0.5
b A LaTex expression showing v = 2.5
3
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -10v to the power of 2 + 4v + 9
a A LaTex expression showing v = 0.2
b A LaTex expression showing v = 4.2
c A LaTex expression showing v = 1.2
4
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -7v to the power of 2 + 3v + 2
a A LaTex expression showing v = 0.214
b A LaTex expression showing v = 1.214
c A LaTex expression showing v = 4.214
5
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -5v to the power of 2 + 7v + 9
a A LaTex expression showing v = 0.7
b A LaTex expression showing v = 1.3
c A LaTex expression showing v = 2.7
6
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -5v to the power of 2 + 11v + 4
a A LaTex expression showing v = 2.1
b A LaTex expression showing v = 0.9
c A LaTex expression showing v = 1.1
7
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -11v to the power of 2 + 4v + 3
a A LaTex expression showing v = 0.182
b A LaTex expression showing v = 4.818
c A LaTex expression showing v = 3.818
8
Given this equation for profit as a function of production volume, what is the optimal volume?
A LaTex expression showing P(v) = -11v to the power of 2 + 5v + 8
a A LaTex expression showing v = 3.773
b A LaTex expression showing v = 0.227
c A LaTex expression showing v = 0.773