Homework 4.1 Score: 2/15 2/15 answered . Question 15 Given: (q is number of items) Demand function: d(q) = 173.4 - 0.4q2 Supply function: s(q) = 0.2q Find the equilibrium quantity: items Find the equilibrium price: $ Calculator Submit QuestionG C O ohm.lumenlearning.com/assess2/7cid =61360laid =4501158#/skip/14 Homework 4.1 Score: 2/15 2/15 answered Question 14 An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 120 pounds, and will sell for $1 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 4.7 pounds, while the price per pound will decrease by $0.03. A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.) Answer: (rounded to the nearest tenth) B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.] Answer dollars (rounded to the nearest dollar] Calculator Submit Question Pain show in(1178) 4104 47 5 X M "Identity Account Re X M Inbox (4,014 - milip x MATH 1360 V0850 2 X ( Lume C 0 ohmlumenlearning.com/assess2/7cid =61360&aid=4501158#/skip/13 Homework 4.1 Score: 2/15 2/15 answered Question 13 A baseball team plays in a stadium that holds 48000 spectators. With the ticket price at $9 the average attendance has been 20000. When the price dropped to $7, the average attendance rose to 24000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $ Question Help: Video Calculator Submit Question(178 HamTA X MWentity Account Re X M Inbox (4,014) - milip MATH 1360 VO850 ? X 0 Lume C O a ohm lumenlearning.com/assess2/7cid =61360&aid =4501158#/skip/12 Homework 4.1 Score: 2/15 2/15 answered Question 12 A manufacture has been selling 1500 television sets a week at $390 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week. a) Find the demand function p(c), where I is the number of the television sets sold per week. p(=) = bj How large rebate should the company offer to a buyer, in order to maximize its revenue? $ c) If the weekly cost function is 97500 + 130z, how should it set the size of the rebate to maximize its profit? Question Help: 0 video Calculator Submit Question Rain thowent[1178) 204 X Identity Account Hi ( ) C O A ohmJumenlearning.com/assess2/7cid=61360&laid=4501158#/skip/11 Homework 4.1 Score: 2/15 2/15 answered . Question 11 The Pear company sells pPhones. The cost to manufacture a pPhones is C(x) = - 3023+ 65000x + 18708 dollars (this includes overhead costs and production costs for each pPhone). If the company sells a pPhones for the maximum price they can fetch, the revenue function will be R(x) = - 3923 + 371000x dollars. How many pPhones should the Pear company produce and sell to maximize profit? (Remember that profit=revenue-cost.) Calculator Submit Question Pain chowen 9(1178] HAFT X M Wentity Account Re X M Inbox (4014) - millp X )MATH 1360 VO8502 X Q Lur C O a ohmlumenlearning.com/assess2/7cid =61360&aid=4501158#/skip/10 Homework 4.1 Score: 2/15 2/15 answered . Question 10 A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 18207 in . How big a piece of cardboard is needed? Your answer is: in. by in. Question Help: @ Video Calculator Submit Question(178) 40474 X M Identity Account Re X M Inbox [4014) - milip x )MATH 1360 V0850 2 C 0 ohmJumenlearning.com/assess2/7cid=61360&aid=4501158#/skip/9 Homework 4.1 Score: 2/15 2/15 answered . Question 9 The height y (in feet) of a ball thrown by a child is 1 y = + 4r +5 16 where & is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet Question Help: Video Calculator Submit Question(170404 X M Identity Account Re X M Inbox (4014)- milip. * ) MATH 1360 V08502 ( Lumen C O A chm.lumenlearning.com/assess2/7cid=61360&aid=4501 158#/skip/8 Homework 4.1 Score: 2/15 2/15 answered Question # This question is not about solving the stated problem, but about understanding it. A rocket is launched, and its height above sea level ( seconds after launch is given by the equation h(t) = - 4.913 + 1500t + 510. a) From what height was the rocket launched? To answer this question, we'd find: Soloct an answer b) What is the maximum height the rocket reaches? To answer this question, we'd find: [Select an answer c) If the rocket will splash down in the ocean, when will it splash down? To answer this question, we'd find: |Select an answer i Calculator Submit Question 3.5-F Rain shower(178 31505 X M "Identity Account Re * M Inbox (4014) - milp X MATH 1360 V0850 7 X 0 Lum C o ohmlumenlearning.com/assess2/7cid=613608:aid-4501158#/skip/7 Homework 4.1 Score: 2/15 2/15 answered Question 7 This question is not about solving the stated problem, but about understanding it. A company's profit when it sells x thousand items is predicted to be P(z) = - 2 4 9503 - 14000. a) What is the company's startup costs? (hint: this would be their profit if they produced no items) To answer this question, we'd find: |Select an answer bj How many items does the company need to sell to break even? To answer this question, we'd find: |Solock an answer c) How many items should the company sell to maximize profit? To answer this question, we'd find: Select an answer iCalculator Submit Question(1178) WISH X M "Identity Account Re X M Inbox (4,014) - milip x MATH 1360 C 0 ohm.lumenlearning.com/assess2/?cid=61360&aid=4501158#/skip/6 Homework 4.1 Score: 2/15 2/15 answered . Question 6 Put the equation y = * - 12x + 35 into the formy = (x - h) + k: Answer: y = Question Help: C Video Calculator Submit Question(178) 3Har4:4 X|M Identity Account Fr X M Inbox (4014)-milip * MATH 1360 V0950 C 0 ohm.lumenlearning.com/assess2/7cid = 61360&aid=4501158#/skip/5 Homework 4.1 Score: 2/15 2/15 answered Question 5 Consider the parabola given by the equation: / (x) = - 4x 4 6r - 1 Find the following for this parabola: A) The vertex: B) The vertical intercept is the point C) Find the coordinates of the two a intercepts of the parabola and write them as a list, separated by commas: It is OK to round your value(s) to to two decimal places. Question Help: @Video 1 6 Video 2 Calculator submit Question Rain thowe'sMATH LEM VORTEX Log In Homework 4.1 Score: 2714 3/15 anwered question 2 Let the demand function for a product be given by the function D(q) - - 2g + 260, where q is the quantity of items in demand and D(g) is the price per item, in dollars, that can be charged whenq units are sold. Suppose food costs of production for this item are $3, 000 and variable costs are $8 per Rem produced. If 26 items are produced and sold, find the following Al The total revenue from selling 26 iterm's tto the nearest perry. 8) The total costs to produce 26 items [to the nearest penny). " The total profits to produce 20 items [to the nearest penny. Profits may or may not be negative.). Calculator Submit Quration