The company "ZEN" needs to recruit 10 specialized workers. It has two options: recruit them directly at a cost of $2750 D$, or use a specialized agency. Two agencies have made offers with different pricing structures. The table shows the costs associated with each agency: - Fixed costs up to the final selection - Stage practice (including costs borne by the agency) - Compensation of specialized workers The problem is to determine the most cost-effective option for the company if it wants to spend less than $2600 D$. We need to justify the answer.

1. Problem Description

The company "ZEN" needs to recruit 10 specialized workers. It has two options: recruit them directly at a cost of $2750 D$, or use a specialized agency. Two agencies have made offers with different pricing structures. The table shows the costs associated with each agency:

- Fixed costs up to the final selection

- Stage practice (including costs borne by the agency)

- Compensation of specialized workers

The problem is to determine the most cost-effective option for the company if it wants to spend less than $2600 D$. We need to justify the answer.

2. Solution Steps

Let's calculate the total cost of recruiting 10 specialized workers through each agency.

Agency N°1:

Fixed costs: $100 D$

Stage practice: $1200 D$ (50% borne by the agency, so the company pays 50%)

Company cost for stage practice $= 1200 D * 0.5 = 600 D$

Compensation for 10 workers: $200 D/worker * 10 workers = 2000 D$

Total cost for Agency N°1 $= 100 D + 600 D + 2000 D = 2700 D$

Agency N°2:

Fixed costs: $750 D$

Stage practice: $1100 D$ (borne by the agency, so the company pays it directly)

Company cost for stage practice $= 1100 D$

Compensation for 10 workers: $250 D/worker * 10 workers = 2500 D$

Total cost for Agency N°2 $= 750 D + 1100 D + 2500 D = 4350 D$

Compare the costs of all three options:

Recruiting directly: $2750 D$

Agency N°1: $2700 D$

Agency N°2: $4350 D$

The condition is that the company will use direct recruitment if an external agency costs more than $2600 D$.

Agency N°1 total cost is $2700 D$ so direct recruitment should be favored, as the requirement is to be below 2600D.

Since $2700 > 2600$, they will not opt for Agency N°1

Agency N°2 total cost is $4350 D$ so direct recruitment should be favored, as the requirement is to be below 2600D.

Since $4350 > 2600$, they will not opt for Agency N°2

3. Final Answer

Since both agencies cost more than $2600 D$, the company will opt for direct recruitment. Therefore, the most advantageous solution is to recruit through its own means, with a cost of $2750 D$, even though it is higher than 2600D. As both agencies total costs are more than the budget of 2600D.