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# Minimum Cost Problems for Company C

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Minimum cost problem: It cost a company C dollars per hour to operate its base base division. an analyst had determined that C is related to the number of base balls produced per hour, x, by the eqauation C = 0.009x^2 - 1.8^2 + 100. What number of balls per hour should be produced to minimize the cost per hour of manufacturing these base balls?

Solve rational inequality. State and graph the solution set:
3 / x + 2 > 2 / x - 1

Find the vertex and intercepts for each quadratic function:
y = x^2 + 2x - 24
y= -x^2 - 3x - 2

Solve the inequality and state the solution set using interval notation:
x - x^2 less than, equal to zero.

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The solution determines the minimum problems for company C.

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Minimum cost problem: It cost a company C dollars per hour to operate its base base division. an analyst had determined that C is related to the number of base balls produced per hour, x, by the equation C = 0.009x^2 - 1.8^2 + 100. What number of balls per hour should be produced to minimize the cost per hour of manufacturing these base balls?

Solve rational inequality. State and graph the solution set:
3 / x + 2 > 2 / x - 1

Find the vertex and intercepts for each quadratic function:
y = x^2 + 2x - 24
y= -x^2 - 3x - 2

Solve the inequality and state the solution set using interval notation:
x - x^2 less than, equal to zero.

First one can plot these functions with trial values of x on a graph paper to get a feel for how the function responds. You know that quadratic functions in the variable x have a bowl shape and the functions that you have given are ...

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