Dual problem to rewrite

Question

I have this problem: $$ \max -2p_1-4p_2$$ $$p_1 \leq 3$$ $$p_2 \leq 4$$ $$ p_1+p_2\geq 5$$ $$ -p_1-p_2\geq -5$$ $$p_1,p_2>0$$ The dual problem: $$\min \zeta = 3y_1+4y_2+5y_3-5y_4 $$ $$ubb y_1+y_3-y_4\geq -2$$ $$ y_2+y_3-y_4\geq -4$$ $$y_1,y_2,y_3,y_4\geq 0$$. But the problem formulated in general is: $$\max -\sum\limits_{i=1}^{I}c_ip_i$$ Ubb $$p_i\leq p_i^{max} \ \ \forall \ i\in\{1,2,...,I\}$$ $$\sum\limits_{i=1}^{I} p_i \leq d \ \ \forall \ i\in\{1,2,...,I\}$$ $$-\sum\limits_{i=1}^{I} p_i \leq -d \ \ \forall \ i\in\{1,2,...,I\}$$ $$p_i\geq 0 \ \ \forall \ i\in\{1,2,...,I\}$$. I have to formulate now the dual form for the LP problem generally, where we let $q_i$ be the dual variable back to the capacity limits for the production level of unit $i$ and let $q_0$ denote the dual variable belong to the balance between supply and demand. How can I do that? Can someone help me. I have to find a transposing matrix I think?