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Price Model: Additional Information The 'll'ureel-(l'lur prot model has roots at a: = 52.739, :1: = 4T.555, and a: = $3194; rounded to 3 decimal
Price Model:
Additional Information The 'll'ureel-(l'lur prot model has roots at a: = 52.739, :1: = 4T.555, and a: = $3194; rounded to 3 decimal places. The marginal weekly prot model has roots at a: = S.488 and m = 140.295, rounded to 3 decimal places. Use this information and the prot model to answer the questions 24-2? 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 :ccoordinate 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. Question 27 3 pts Use 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 bagRevenue 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(c) = p . = = (at bx + cr' )x = ar + bx' + er Use this revenue model to answer questions 3-8 below.Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(x) = ma + k Round m to 1 decimal place, and round & to the nearest integer. Use this cost model to answer questions 9-15 below.Price Model Find a quadratic regression equation for the pricedemand data, using a: as the independent variable. 33 = o. + In: + {35:2 Round st 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. \"faster Outtters manufactures and sells extreme-cold sleeping bags. The table below shows the pricedemand and total cost data, where: - p is the wholesale price [in dollars} of a sleeping bag for a weeld'grr demand of :1: sleeping bags; - C is the total cost [in dollars} of producing :1: sleeping bags. CI 95 1 3,5013 Use this data to create regression models to answer all of the questions below. Prot Model Use the revenue and cost models above to construct a model for prot. Find a model for the vveel-(h.f prot, using :c as the independent variable. 13(3) 2 1' + out: + 332 + 333 NOTE: Do not calculate another regression. Use the fact that prot is revenue minus cost. Round '1" to the nearest integer, round uto 1 decimal place, round a to 2 decimal places, and round t to 4 decimal places. Use this prot model to answer questions 16-2? below. Question 16 2 pts Use the prot model above to answer this question. The graph y = a" | no: | .erE l 33 has negative yintercept. In the context of prot for \"faster Outtters coming from sleeping bags, what is the interpretation of this value? Q When a negative number of sleeping bags are produced,Yaster Outtters makes monev on sleeping bags. Q When no sleeping bags are produced,Yaster Outtters loses monev on sleeping bags. (3| When a negative number of sleeping bags are produced,"faster Outtters loses monev on sleeping bags. Q When no sleeping bags are produced,Yaster Outtters makes monev 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(@) = -00, so increasing production without bound will lead to higher and higher losses. $ 100 O lim P(@) = t is negative, so increasing production too much will lead to a weekly loss of $t. * 700 O lim P(x) = oo, so increasing production without bound will lead to higher and higher profits. $ +00 O Yaster faces weekly losses regardless of production level, since t is negative. Question 18 2 pts Use the profit model above to answer this question. Since the profit model is a cubic polynomial, the marginal profit is a [ Select ] The graph of marginal profit is [ Select ]Use the prot model above to answer this question. What is 1"? Round to the nearest integer. Question 20 Use the prot model above to answer this question. What is ts? Round to 1 decimal place. Question 21 Use the prot model above to answer this question. What is a? Round to 2 decimal places. Use the profit model above to answer this question. What is t? Round to 4 decimal places. Question 23 3 Use the profit model above to answer this question. Use the weekly profit model to estimate the total weekly profit when the weekly production is 197. Round to the nearest dollarStep by Step Solution
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