(a):
(i) Operating Efficiency:
Inventory turnover ratio
Cash conversion cycle
Example: Dell's 5-day inventory vs industry average of 20 days
(ii) Credit Availed:
Supplier payment terms
Trade credit utilization
Impact: Longer terms reduce working capital needs
(iii) Level of Competition:
Price wars increase inventory requirements
Service competition raises receivables
Case: E-commerce companies' cash-on-delivery pressures
(b):
(i) Stability of Dividends:
Investor expectations
Signaling effect
Example: HUL's consistent dividend history
(ii) Contractual Constraints:
Loan covenant restrictions
Preferred stock terms
Legal capital requirements
(iii) Stock Market Reaction:
Dividend announcement impact
Clientele effect
Case: Apple's 2012 dividend resumption (7 percent stock rise)
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 \( \frac{dS}{dx} \).
