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$5.$ Points$]$ the quantity sold $(N)$ and price $(P)$ of each model.

$N_A=175-0\mathrm{.}6P_A+0\mathrm{.}55P_B$

$N_B=292+0\mathrm{.}09P_A-0\mathrm{.}9P_B$

$ $($b$)$ Develop a two$-$way data table to estimate the optimal prices for each product in order to maximize the total revenue. Vary each price from $$250$ to $$500$ in increments of $$10.$

$P_A=310,x$

$P_B=41$

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