Quadratic Equation Word Problem To Optimization (y) - 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.

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

Mobius Math Academy logo
Quadratic Equation Word Problem To Optimization (y) - Profit by Volume
1
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -6v to the power of 2 + 10v + 8
a A LaTex expression showing P = 12.167v
b A LaTex expression showing P = 13.167v
c A LaTex expression showing P = 15.167v
2
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -8v to the power of 2 + 7v + 9
a A LaTex expression showing P = 9.531v
b A LaTex expression showing P = 7.531v
c A LaTex expression showing P = 10.531v
3
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -9v to the power of 2 + 2v + 5
a A LaTex expression showing P = 9.111v
b A LaTex expression showing P = 5.111v
c A LaTex expression showing P = 0.111v
4
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -4v to the power of 2 + 7v + 5
a A LaTex expression showing P = 11.063v
b A LaTex expression showing P = 5.063v
c A LaTex expression showing P = 8.063v
5
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -9v to the power of 2 + 9v + 7
a A LaTex expression showing P = 10.25v
b A LaTex expression showing P = 13.25v
c A LaTex expression showing P = 9.25v
6
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -9v to the power of 2 + 10v + 6
a A LaTex expression showing P = 8.778v
b A LaTex expression showing P = 11.778v
7
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -6v to the power of 2 + 2v + 11
a A LaTex expression showing P = 16.167v
b A LaTex expression showing P = 11.167v
8
Given this equation for the profit as a function of production volume, what is the maximum profit?
A LaTex expression showing P(v) = -4v to the power of 2 + 6v + 6
a A LaTex expression showing P = 3.25v
b A LaTex expression showing P = 8.25v