The chosen card is the Page of Wands. This card represents the ideal of a situation, in this case Luke's running your business. The Page of Wands symbolizes energy, creativity, enthusiasm and innovation. His position on the obverse indicates that Luca can be relied upon to carry out your business in the best possible way. This is a good sign and would indicate a positive ideal.
The second card chosen is The World. This card represents the fulfillment of a long-term dream or goal. The obverse position would indicate that Luca is a suitable partner to achieve your business objectives in a realistic and reasonable manner. This suggests that you can count on Luca to manage your business because he knows how to run it successfully and without compromise.
In conclusion, the tarot suggests that you can feel comfortable entrusting the management of your business to Luca. The cards show that you will be able to achieve your goals with him as a manager and that his creative and inspiring skills will help you achieve your ideal in the long run. Therefore, the answer to the question is yes, you can rely on Luca to manage your business.