Inspired by the success of Chandrayaan-3, the Chief Scientist at ‘Space Rover’ a private research group, decided to send some innovative ideas regarding the mission to the Chief Scientist of Chandrayaan-3. The Chief Scientist at ‘Space Rover’ formed four groups for the same. As it was an intellectual activity of thinking rather than doing, these four groups started interacting with each other and friendships developed. On the basis of their interaction and friendship, some members from each group formed ‘Entertainment Through Reading’ group which showed conformity in terms of their interest. ‘Entertainment Through Reading’ group had no written rules, was unstable in form and scope and had no fixed lines of communication. The members of this group enhanced the morale of each other, enjoyed drinking coffee together, read books, served different issues of their work areas and provided support to each other. Ultimately this group developed some innovative ideas which were sent by ‘Space Rover’ to the Chief Scientist of Chandrayaan-3. Though this group was formed for recreation but it contributed towards fulfillment of organisational objectives.
(a) Identify the function of management. Quoting the lines from the above para, explain the steps of the process of the function of management discussed.
(b) Also explain any two points of importance of the function of management identified in (a).
Rishika and Shivika were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2024 stood as follows:
Balance Sheet of Rishika and Shivika as at 31st March, 2024
| Liabilities | Amount (₹) | Assets | Amount (₹) |
|---|---|---|---|
| Capitals: | Equipment | 45,00,000 | |
| Rishika – ₹30,00,000 Shivika – ₹20,00,000 | 50,00,000 | Investments | 5,00,000 |
| Shivika’s Husband’s Loan | 5,00,000 | Debtors | 35,00,000 |
| Creditors | 40,00,000 | Stock | 8,00,000 |
| Cash at Bank | 2,00,000 | ||
| Total | 95,00,000 | Total | 95,00,000 |
The firm was dissolved on the above date and the following transactions took place:
(i) Equipements were given to creditors in full settlement of their account.
(ii) Investments were sold at a profit of 20% on its book value.
(iii) Full amount was collected from debtors.
(iv) Stock was taken over by Rishika at 50% discount.
(v) Actual expenses of realisation amounted to ₹ 2,00,000 which were paid by the firm. Prepare Realisation Account.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).