The required inequalities are:
1) C + 9E < 237.5
2) C + 6E ≤ 23.5
<h3>What is the inequality equation?</h3>
The inequality equation is a mathematical statement given by a relation such as 'less than, 'greater than, 'less than or equal, or 'greater than or equal between two expressions.
<h3>Given data:</h3>
It is given that,
C - number of candidates they interview
E - number of employees they train
It takes 20 hours and $400 to interview a candidate and it takes 120 hours and $3600 to train an employee.
The company can spend less than $95000 to interview and train employees and can spend at most 470 hours to do so.
<h3>Write an inequality that represents the condition based on the number of dollars the company can spend:</h3>
For one candidate to interview, it takes $400
For one employee to train, it takes $3600
Since the company can spend less than $95000 to interview and train employees,
(400)C + (3600)E < 95000
⇒ 4C + 36E < 950
On simplifying,
⇒ C + 9E < 237.5
Thus, the required inequality is C + 9E < 237.5
<h3>Write an inequality that represents the condition based on the number of hours the company wants to spend:</h3>
For one candidate to interview, it takes 20 hours
For one employee to train, it takes 120 hours
Since the company can spend at most 470 hours, we can write
20C + 120E ≤ 470
⇒ 2C + 12E ≤ 47
On simplifying,
⇒ C + 6E ≤ 23.5
Thus, the required inequality is C + 6E ≤ 23.5
Learn more about the inequality equation here:
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