The company $($Westgate$)$ in the previous problem $($use the numbers from Q$9)$ has decided to hire service representatives to implement a proactive service call strategy to address service issues using the following approach.

Customers were divided into $4$ groups based on the contribution to the company profit. Large customers who accounted for $40\%$ of the profit were grouped as Class A customers. Given the importance of these customers, service representatives call on Class A customers $20$ times a year. These service representatives meet with multiple groups within the firm and spend about $1\mathrm{.}5$ hours for each call. The next group of large customers were grouped as Class B customers $(25\%$ of profit$)$ and were visited once every month with each call lasting about $45$ minutes. The next two groups accounted for $35\%$ of the profits. Service reps make a regular call every $2$ months to Class C customers and spend about $20$ minutes on each call. Class D customers are visited once every three months for a $20$ minute call. Table $1$ below provides you the call frequency for customer groups.

Table $1$

Class of Customer Number of Customers $\%$ Profit Provided by the Customer Segment No of Calls per Year per

Customer Call Duration Minutes$/$Call

A $7040\%2090$

B $30025\%1245$

C $80020\%620$

D $183015\%420$

Total $3000100\%$

At Westgate, employees work $40$ hours per week and have $4$ weeks of vacation time per year. Workload research shows that sales and service employees spend about $23\mathrm{.}7\%$ of their time in travelling, $16\mathrm{.}3\%$ in report writing and administrative tasks, $15\%$ of the time in departmental meetings and the remaining $45\%$ of time in face$-$to$-$face sales and service calls.

a$.$ Determine the number of service representatives Westgate needs to hire using the workload approach.

b$.$ Service representatives are paid a salary of $ $65,000$ per year. Firms incur an additional $40\%$ of the salary in benefits. Determine the new break$-$even sales in units and $ from Q$9$ with this additional expense for the new service representatives.