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{"ops":[{"insert":"The price-demand equation and the cost function for the production of HDTVs are\ngiven, respectively, by\n\nx = 7, 500 \u2212 25p and C(x) = 120, 000 + 24x,\n\nwhere x is the number of HDTVs that can be sold at a price of $p per TV and C(x)\nis the total cost (in dollars) of producing x TVs.\n(a) Express the price p as a function of demand x, and find the domain of this\nfunction.\n(b) Find the marginal cost.\n(c) Find the revenue function and state its domain.\n(d) Find the marginal revenue.\n(e) Find R\u2032\n\n(3, 500) and R\u2032\n\n(4, 200) and interpret these quantities.\n\n(f) Graph the cost function and revenue function on the same coordinate system.\nFind the break-even points and indicate regions of loss and profit.\n(g) Find the profit function in terms of x.\n(h) Find the marginal profit.\n(i) Find P\u2032\n(1, 500) and P\u2032\n(5, 500) and interpret these quantities.\n"}]}
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