$350$

$8\mathrm{.}5$

a$)$ The reservation prices, in dollars, for three classes of demanders $(A,B,$ and $C)$ for three restaurants $,$ and $3)$ are given in the table below. What is the maximum revenue that can be generated by setting a separate price for each of the three restaurants?

$\backslash$table$[[,$Restaurant$],[$Class$,1,2,3],[A,12,5,7],[B,7,11,20],[C,9,15,6]]$

b$)$ The reservation prices, in dollars, for three classes of demanders $,$ and $C)$ for three restaurants $,$ and $3)$ are given in the table below. What is the maximum revenue that can be generated by setting a bundled price for each of the three restaurants?

$8\mathrm{.}6$

The $xYZ$ Steel Company produces its own coal for use in its production facility. The demand for steel is given by $P_s=500-2Q_s$ and the total cost of producing steel is given by $T{C}_s=100Q_s,$ where $Q_s$ is tons of steel per week. The price of coal in a perfectly competitive market outside the firm is $$250$ per ton, and the total cost of producing coal is given by $T{C}_c=40+5Q_c^2,$ where $Q_c$ is tons of coal per week. How much coal should the $xYZ$ Company produce?

$8\mathrm{.}7$ Glyde Air Fresheners is the dominant firm in the solid room aromatizer industry, which has a total market demand given by $Q=80-2P.$ Glyde has competition from a fringe of four small firms that produce where their individual marginal costs equal the market price. The fringe firms each have total costs given by $T{C}_i=10Q_i+2Q^2.$ If Glyde's total costs are given by $T{C}_G=100+6Q_G,$ what price should Glyde establish for air fresheners?