Question: The employment agency SEI, Inc. is a business that helps place individuals (as independent contractors) on jobs with local employers. SEI does not hire the individuals; rather it provides the service of calling individuals for employers who then hire them. A key feature of SEI's success is its ability to reach a large number of individuals in a short period of time by means of the telephone. In making these telephone calls, the company can use telephone operators, each using a single phone, and it can use computer operators, each using a computerized process with automatic dialing capability. A production function for the calling operation is as follows:

\[\mathrm{Q}=400 \mathrm{x}+800 \mathrm{y}+6 \mathrm{xy}\]

where:

\(\text{Q}=\) number of calls made per day

\(\mathrm{x}=\) number of telephone operators per day

\(\mathrm{y}=\) number of computer operators using phone-computer combinations

Each phone operator using a single phone costs the firm an average of $180 per day, and each computer operator matched with a phone-computer combination costs $360 per day. The total expense budget allocated to this project has been limited to $7200 per day.

1. Use the Lagrangian multiplier technique to determine the optimal levels of \(\mathrm{x}\) and \(\mathrm{y}\) to maximize the total number of calls that can be made per day.
2. Calculate and interpret the value of the Lagrangian multiplier in this case.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document