Acompany manufactures and sells x television sets per month. the monthly cost and price-demand equations are c(x)=72,000+60x and p(x)=300−(x/20),

0l≤x≤6000.

(a) find the maximum revenue.
(b) find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set.
(c) if the government decides to tax the company $55 for each set it produces, how many sets should the company manufacture each month to maximize its profit? what is the maximum profit? what should the company charge for each set?

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.