Question

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 1

Step 1

Given;

`\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}`

Step 2

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

`C=N[(H)(E)+P(E)]`

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?

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