Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: p is the wholesale price in dollars) of a sleeping bag for a weekly demand of x sleeping bags; C is the total cost (in dollars) of producing x sleeping bags. 2 (sleeping bags) C ($) 95 240 13,000 P ($) 120 235 14,300 180 155 18,500 220 50 21,000 Use this data to create regression models to answer the questions below. Profit Model Use the models computed to find a model for the weekly profit, using x as the independent variable. P(x) = r +ux + sx2 + tx3 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 t to 4 decimal places. The graph y=p+ux + sx2 + tx has negative y-intercept. In the context of profit for Yaster Outfitters coming from sleeping bags, what is the interpretation of this value? When a negative number of sleeping bags are produced, Yaster Outfitters makes money on sleeping bags. When no sleeping bags are produced, Yaster Outfitters makes money on sleeping bags. O When a negative number of sleeping bags are produced, Yaster Outfitters loses money on sleeping bags. O When no sleeping bags are produced, Yaster Outfitters loses money on sleeping bags. The CEO of Yaster Outfitters want to drive up production levels of sleeping bags. Which of the following is an appropriate advice, given that the value t in the profit model is negative. Olim P(x) = t is negative, so increasing production too much will lead to a weekly loss of $t. 200 O Yaster faces weekly losses regardless of production level, since t is negative. Olim P(x) = -o, so increasing production without bound will lead to higher and higher losses. 200 Olim P(x) = 00, so increasing production without bound will lead to higher and higher profits. ->00 Since the profit model is a cubic polynomial, the marginal profit is a [ Select] The graph of marginal profit is [Select] logarithm quadratic polynomial linear polynomial cubic polynomial exponential function Since the profit model is a cubic polynomial, the marginal profit is a [ Select] The graph of marginal profit is [ Select ] [ Select ] a parabola opening upward a straight line with negative slope a straight line with positive slope a parabola opening downward What is r? Round to the nearest integer. What is u? Round to 1 decimal place. What is s? Round to 2 decimal places. What is t? Round to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 184. Round to the nearest dollar. $ Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: p is the wholesale price in dollars) of a sleeping bag for a weekly demand of x sleeping bags; C is the total cost (in dollars) of producing x sleeping bags. 2 (sleeping bags) C ($) 95 240 13,000 P ($) 120 235 14,300 180 155 18,500 220 50 21,000 Use this data to create regression models to answer the questions below. Profit Model Use the models computed to find a model for the weekly profit, using x as the independent variable. P(x) = r +ux + sx2 + tx3 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 t to 4 decimal places. The graph y=p+ux + sx2 + tx has negative y-intercept. In the context of profit for Yaster Outfitters coming from sleeping bags, what is the interpretation of this value? When a negative number of sleeping bags are produced, Yaster Outfitters makes money on sleeping bags. When no sleeping bags are produced, Yaster Outfitters makes money on sleeping bags. O When a negative number of sleeping bags are produced, Yaster Outfitters loses money on sleeping bags. O When no sleeping bags are produced, Yaster Outfitters loses money on sleeping bags. The CEO of Yaster Outfitters want to drive up production levels of sleeping bags. Which of the following is an appropriate advice, given that the value t in the profit model is negative. Olim P(x) = t is negative, so increasing production too much will lead to a weekly loss of $t. 200 O Yaster faces weekly losses regardless of production level, since t is negative. Olim P(x) = -o, so increasing production without bound will lead to higher and higher losses. 200 Olim P(x) = 00, so increasing production without bound will lead to higher and higher profits. ->00 Since the profit model is a cubic polynomial, the marginal profit is a [ Select] The graph of marginal profit is [Select] logarithm quadratic polynomial linear polynomial cubic polynomial exponential function Since the profit model is a cubic polynomial, the marginal profit is a [ Select] The graph of marginal profit is [ Select ] [ Select ] a parabola opening upward a straight line with negative slope a straight line with positive slope a parabola opening downward What is r? Round to the nearest integer. What is u? Round to 1 decimal place. What is s? Round to 2 decimal places. What is t? Round to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 184. Round to the nearest dollar. $