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You are in charge of booking accommodations for your company to attend a seminar in Denver. Each room cost H dollars and you will also give each employee a per diem (money each employee gets every night of the trip) that will be called P. The number of employees will be E, and the number of nights is N. C is cost to the company N is number of nights P is the money given to each employee every night of the tripE is the number of employees H is the cost of the hotel room (each employee gets there own room)a. Write an equation for the cost C in terms if other variables. ( we are ignoring taxes in this scenario)B. If the company has $5000 to spend, the hotel cost $145 per night, you are giving a $30 per diem, and the conference requires a 6 nights stay how many employees will be able to attend?

Answer :

Step 1

Given;

[tex]\begin{gathered} The\text{ cost of each room = \$H} \\ Each\text{ employee gets \$P} \\ Number\text{ of employees is E} \\ N\text{ is the number of night} \\ C\text{ is the cost to the company} \end{gathered}[/tex]

Step 2

Write an equation for the cost C in terms if other variables. ( we are ignoring taxes in this scenario)

[tex]C=N[(H)(E)+P(E)][/tex]

Step 3

If the company has $5000 to spend, the hotel cost $145 per night, you are giving a $30 per diem, and the conference requires a 6 nights stay how many employees will be able to attend?

[tex]\begin{gathered} C=5000 \\ H=145 \\ P=30 \\ N=6 \\ 5000=6[145E+30E] \\ \frac{5000}{6}=175E \end{gathered}[/tex][tex]\begin{gathered} 5000=1050E \\ E=4.76 \\ Hence\text{ only 4 employees can attend} \end{gathered}[/tex]

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