Yaster Outfitters manufactures and sells extremecold sleeping bags. The table below shows the pricedemand and total cost data, where: - p is the wholesale price [in dollars} ofa sleeping bag for a weeltl'l.f demand of a: sleeping bags; - C is the total cost {in dollars] of producing a sleeping bags. a: [sleeping bags} 3:- [$} C {$1 123 235 14,300 130 155 18,500 Use this data to create regression models to answer all of the questions below. Question 10 3 pts Use the cost model above to answer this question. What is k? Round to the nearest integer. Question 11 3 pts Use the cost model above to answer this question. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 124. Round to the nearest dollar. $ Alt+QQuestion 12 3 pts Use the cost model above to answer this question. What is the per unit variable cost? Round to 1 decimal place. $ per sleeping bag Question 13 3 pts Use the cost model above to answer this question. What is the weekly fixed cost of producing sleeping bags? Round to the nearest integer. $ Alt+QUse the cost model above to answer this question. What is the marginal weekly cost at production level 159 sleeping bags per week\"?r Round to 1 decimal place. $ per sleeping bag Question 15 3 pts Use the cost model above to answer this question. Use the cost model to estimate the average weekly cost per bag when the weekly demand is 185. Round to the nearest cent. $_ per sleeping bag Prot Model Use the revenue and cost models above to construct a model for prot. Find a model for the weeklyr profit, using :1: as the independent variable. P{:t:) = r-l as + 3:112 -lt:1'.3 NOTE: Do not calculate another regression. Use the factthat profit is revenue minus cost. Round 1" to the nearest integer, round a to 1 decimal place, round 3 to 2 decimal places, and round t to 4 decimal places. Use this profit model to answer questions 1E-29 below. Use the prot model above to answer this question. The graph '3; = r + as: l sw l 133 has negative y-intercept. In the context of profit forTaster Outfitters coming from sleeping bags, what is the interpretation of this value? C) When no sleeping bags are produced: Taster Outfitters loses money on sleeping bags. C) When no sleeping bags are produced: Taster lDuttters makes money,r on sleeping bags. (:3: When a negative number of sleeping bags are produced: Taster Outfitters makes monev on sleeping bags. C) When a negative number of sleeping bags are produced: Taster l[Zluttters loses moneyr on sleeping bags. Use the profit model above to answer this question. 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. O lim P(@) = co, so increasing production without bound will lead to higher and higher profits. O lim P(e) = t is negative, so increasing production too much will lead to a T-+00 weekly loss of St. O lim P(@) = -co, so increasing production without bound will lead to higher and higher losses. O Yaster faces weekly losses regardless of production level, since t is negative.Use the prot model above to answer this question. Since the profit model is a cubic polynomial, the marginal profit is a [Select] V . The graph of marginal prot is logarithm linear polynomial cubic polynomial quadratic polynomial _ exponential function Use the prot model above to answer this question. Since the profit model is a cubic polynomial, the marginal profit is a [Select] "" . The graph of marginal prot is [Select] '" . a parabola opening downward a straight line 1.Ivith negative slope '{ a straight line with positive slope ' _ a parabola opening upward _ UUESIIOH 15 id pts Use the prot model above to answer this question. What is 1*? Round to the nearest integer. Question 20 2 pts Use the prot model above to answer this question. What is u\"? Round to 1 decimal place. Use the profit model above to answer this question. What is s? Round to 2 decimal places. Question 22 3 pts Use the profit model above to answer this question. What is t? Round to 4 decimal places.Price Model Find a quadratic regression equation for the pricedemand data: using :1: as the independent variable. p=o+bm+cm2 Round o: to the nearest integer: round I: to 2 decimal places: and round c to 4 decimal places. Use this price model to answer question 1-2 below. Question 1 3 pts Use the price model above to answer this question. Estimate the price per sleeping bag when the weeklyr demand is 2:31. Round to the nearest cent. Eli per sleeping bag Use the prot model above to answer this question. Use the weekly profit model to estimate the total weekly prot when the weekly production is 129. Round to the nearest dollar. $ Additional Information The weekly prot model has roots at a: = 52.789, a: = 47.555. and a: = 202.944, rounded to 3 decimal places. The marginal weeklyr profit model has roots at at = 8.488 and a: = 140.295. rounded to 3 decimal places. Use this information and the prot model to answer the questions 24- 29 below. Question 24 2 pts Use the Additional Information and the prot model above to answer this question. There are two breakeven points. Give the actcoordinate of either one. Round to 3 decimal places. sleeping bags Use the Additional Information and the profit model above to answer this question. What weekly production level will maximize profit? Round to 1 decimal place. sleeping bags Question 26 3 pts Use the Additional Information and the profit model above to answer this question. What is the maximum weekly profit? Round to the nearest dollar. $ Alt+QUse the Additional Information and the profit model above to answer this question. What is the wholesale price per sleeping bag that should be charged to realize the maximum weekly profit? Round to the nearest cent. $ per sleeping bagYaster Outfitters . makes a profit on extreme-cold sleeping bags when the weekly production level * satisfies A > B. In other words, Yaster starts making a profit when production exceeds A sleeping bags per week, and starts losing money when production exceeds B sleeping bags per week. Round A and B to 3 decimal places. Use this definition of A and B, the Additional Information, and the profit model above to answer questions 28-29 below. Question 28 3 pts Use this definition of A and B, the Additional Information, and the profit model above to answer this question. AH+C What is A? Round to 3 decimal places. sleeping bagsQuestion 29 2 pts Use this definition of A and B, the Additional Information, and the profit model above to answer this question. What is B? Round to 3 decimal places. sleeping bagsUse the price model above to answer this question. The graph y = e l he: l can2 has y intercept a. In the centext at price demand fpr sleeping bags: 1nrhat is the interpretation of this value? 0 When the sleeping bags are free {price = $0}, there is a weekly,r demand eta sleeping bags. (:2: The equilibrium quantity is a. sleeping bags per week. 0 The equilibrium price is Elie per sleeping bag. C) When the price is Se per sleeping bag, there is he demand for sleeping bags. C) When the price is Se per sleeping bag, there is a weelrtljrr demand eta. sleeping bags. 0 The break-even paint is a. sleeping bags per week. O The break-even paint is $5: per sleeping bag. Revenue Model Use the price model above to construct a revenue model. Find a model for the weekly revenue, using @ as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x ) = p . x. R(x) = p . x = (a+ bx + cr' )x = ar + ba' + cx Use this revenue model to answer questions 3-8 below. Question 3 3 pts Use the revenue model above to answer this question. What is a? Round to the nearest integer. Alt+QQuestion 4 3 pts Use the revenue model above to answer this question. 1ll'llhat is if? Round to 2 decimal places. Question 5 3 pts Use the revenue model above to answer this question. 1|.I'll'hat is c? Round to 4 decimal places. Use the revenue model above to answer this question. Estimate the weekly revenue when the weekly demand is 180. Round to the nearest dollar. Question 7 3 pts Use the revenue model above to answer this question. Estimate the marginal weekly revenue when the weekly demand is 177. Round to the nearest cent. St+Q per sleeping bagQuestion 8 3 pts Use the revenue model above to answer this question. Estimate the average weekly revenue per bag when the weekly demand is 109. Round to the nearest cent. per sleeping bagQuestion 8 3 pts Use the revenue model above to answer this question. Estimate the average weekly revenue per bag when the weekly demand is 109. Round to the nearest cent. per sleeping bagCost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(x) = mr + k Round m to 1 decimal place, and round & to the nearest integer. Use this cost model to answer questions 9-15 below. Question 9 2 pts Use the cost model above to answer this question. What is m? Round to 1 decimal place. Alt+