Sorry if this a dumb question, I am an undergrad economics student and am currently reading this paper from Okishio on the Marxist concept of Constant and Variable capital, my issue is on this following excerpt:
I can't figure out how he is able to get equation $2.16$. I have the feeling that he is dividing inequalities $2.14$ and $2.15$, but can't think of a reason he's allowed to do that. Either that or he is assuming something from the relationship between these equations/variables that I'm not seeing.
For reference, $2.3$ is $B= (wT)/p_2$, and the only assumptions are: $1-a_1>0$, i.e. net output from production, and the starting equations $p_1>a_1p_1 + \tau_1w$ and $p_2>a_2p_1 + \tau_2w$.
$i = 1$ - Means of Production
$i = 2$ - Consumable goods
$p_i$ - Unit price of good $i$
$\tau_i$ - Labour power required for production of a unit of $i$
$a_i$ - Means of production required for the production of a unit of the good $i$
$T$ - Amount of Working Hours per day
$B$ - Affordable consumable goods at a money wage rate '$w$' and working '$T$' hours a day