9. Hope's Pottery makes clay vases to sell at a local gallery. Hope has determined the following models for her monthly revenue and costs associated with making and selling these vases. R(v) = 155v C(v) = 5000+ 65v where R (v) represents the monthly revenue in dollars for selling u vases and C(v) represents the monthly costs in dollars for producing and selling v vases. a. Graph both functions on the same calculator screen. b. Determine the break-even point for Hope's Pottery. (The break-even point is when the revenue equals the costs.)

An internet start-up predicts its revenue by a straight-line method with a slope of $5000 per month. In its 6 th month it had revenues of $31000. Find an equation for the revenue R as a function of the number of months T. R=

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The marketing department of a company estimates that the demand for a product is given by p = 100 - 0.0001x, where p is the price per unit and x is the number of units. The cost C of producing x units is given by C = 310,000 + 25x and the profit P for producing and selling x units is given by P = R - C = xp – C. Sketch the graph of the profit function. P FA 15 000 000 15 000 000 10 000 000 10 000 000 5 000 000 5000 000 1 2 3 4 5 7 8 9 1 2 3 4 5 6 8 9 1 = 100,000 1= 100,000 MacBook DII 888 F9 F8 F7 F4 F5 F3 F1 * & $ % @ # 8 9 2 3 4 T Y Q W K G H .. . - < (O