The following information for $2023$ is provided for two public companies in the same industry:

$..................................................................................$ A Ltd$.$ B Ltd$.$

Number of Shares issued....................... $5,0001,200$

$......................................................................$ $ $

Sales........................................................................ $150,00025,000$

COGS $.......................................................................75,00010,000$

Other Expenses......................................................... $64,50012,500$

Dividends paid $...........................................................3,0001,000$

Market price per share................................................ $15\mathrm{.}0013\mathrm{.}00$

Required:

Answer the following questions about the two companies and explain the reason for your answer. Use the information provided to calculate the ratios needed to support your answers.

a$.$ Based on the above information, which company is more profitable? $(4$ marks$)$

b$.$ About which company are investors more optimistic? $(4$ marks$)$

c$.$ In which company would they prefer to buy shares if their goal is dividend income? $(2$ marks$)$

d$.$ In which company would investors prefer to buy shares for growth potential? $(2$ marks$)$