E Quiz: Quiz 11 Chapter 5 (Sections 5.1-3) Question 1 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Submit quiz D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the Question list K equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(X) = - 81 =, S(x) = VX O Question 1 VX Question 2 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) O Question 3 (b) What is the consumer surplus at the equilibrium point? $(Round to the nearest cent as needed.) O Question 4 (c) What is the producer surplus at the equilibrium point? $(Round to the nearest cent as needed.) O Question 5 O Question 6 O Question 7This quiz: 10 point(s) possible @ This question: 1 point(s) possible = Quiz: Quiz 11 Chapter 5 (Sections 5.1-3) Question 2 of 10 Submit quiz Demand for apartments in a certain town is D(x) = 1865 - x, and the supply is S(x) =600 + 10x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, Question list [ per apartment. a) Find the equilibrium point. b) Find the consumer surplus and producer surplus. O Question 1 c) Suppose a maximum rent of $1150 per month is imposed by the town council. Find the point (xc, pc). d) Find the new consumer surplus and new producer surplus. e) Find the deadweight loss. ) OQuestion 2 = Quiz: Quiz 11 Chapter 5 (Sections 5.1-3) 5 This quiz: 10 point(s) possible - 2 This question: 1 point(s) possible @ Sl i . . Find the present value P, of the amount P =$100,000 due t=5 years in the future and invested at interest rate k = 3%, compounded continuously. Question list 1 Question 4 of 10 This question: 1 point(s) possible @ Submit quiz . . Find the accumulated present value of a continuous stream of income at rate R(t) = $140,000, for time T =19 years and interest rate k = 3%, compounded continuously. Question list 1 Ll s ) Submit quiz This question: 1 point(s) possible In the year 2002 (t = 0), the world reserves of natural gas were approximately 9671 trillion cubic feet. In that same year, the world consumption of natural gas was approximately 104.1 trillion Question ||St | cubic feet, and was growing exponentially at about 3.1% per year. If the demand continues to grow at this rate, and no new reserves of natural gas are found, in what year will the world reserves of this resource be depleted? O Question 1 The world reserves will be depleted in the year (Round to the nearest year as needed.) O Question 2 O Question 3 E Quiz: Quiz 11 Chapter 5 (Sections 5.1-3) Question 9 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Submit quiz K Find the accumulated present value of an investment for which there is a perpetual continuous money flow of $3200 per year at an interest rate of 6%, compounded continuously. Question list O Question 2 The accumulated present value is $. (Type an integer or decimal rounded to the nearest hundredth as needed.) Question 3 O Question 4