For the questions with options you can leave them blank.

6. [-/1 Points] DETAILS LCALCCON5 3.1.501.XP. An artisan makes hand-crafted painted benches to sell at a craft mall. Her weekly revenue and costs (not including labor) are given in the table. Weekly Revenue and Costs for Hand-crafted Benches Number of benches Weekly revenue, R Weekly cost, c sold each week, (dollars) (dollars) 298 6: 3 881 75 5 1366 95 7 1740 128 9 1965 136 11 1940 192 13 1690 219 (@) Find a quadratic model for revenue. (Round all numerical values to three decimal places.) R(n) = dollars Find a cubic model for cost. (Round all numerical values to three decimal places.) C(n) = dollars Using the previous models for revenue and cost, find a cubic model for profit, P. (Round all numerical values to three decimal places.) P(n)= dollars (b) Write the derivative formula for profit. p(n) = per bench (c) Find and interpret the rates of change of profit when the artisan sells 5, 9, and 10 benches, respectively. (Round your answers to two decimal places.) P'(5) = $ per bench When the artisan makes 5 benches, the profit is (.-Select w | by $ per bench. P'(9) = $ per bench When the artisan makes 9 benches, the profit is [- Select- w ) by $ per bench. P ( 10) = $ per bench When the artisan makes 10 benches, the profit is (-Select- w ] by $ per bench. d) Use the information in part (c) to determine the number of benches the artisan should produce each week for maximum profit. benches Need Help? Read Is 7. [-/1 Points] DETAILS LCALCCONS 3.1.036. The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Sales Year (million iPods) 2003 3.22 2004 5.736 2005 29.333 2006 56.642 2007 120.572 2008 173.9 a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from 0 s x 's 5. (Round all numerical values to three decimal places.) S(X) = million ipods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places.) s'(x) = million ipods per year c) Calculate the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) million ipods per year Interpret the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) in 2007, cumulative ipod sales were [- Select - v ] by million per year. Need Help? Read