Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: • pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags: .Cis the total cost (in dollars) of producing z sleeping bags. z (sleeping bags) p ($) C ($) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Price Model Find a quadratic regression equation for the price-demand data, using z as the independent variable. p= a + bz + cz² Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using a as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) =p·z. R(x) = p·x = (a + bx + cx²)x = ax + bx²2 + cz³ Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(x) = mx +k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using a as the independent variabl P(x) =r+ ux + sx? + tæ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round to 4 decimal places. igate

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