2. Let1200D(q)andS(q) = 3/q+1Va+1where q is measured in boxes and D(g) and S(g) have units of dollars per box.(a) Evaluate D(15) and describe what this quantity is in context.Answer:(b) What is the maximum total amount a consumer is willing to pay for 168 boxes (with units)Answer: (c) Find the equilibrium point for these supply and demand functions. What is the selling price (with units)?Answer:(d) Find the producer surplus at the equilibrium point for these supply and demand functions (with units).Answer:

Answered: Image /qna-images/answer/edd9fa66-aac6-4f4c-acc8-a759578ea4bf.jpg

Answered: 2. Let 1200 D(q) and S(q) = 3/q+1 Vq+1…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds (ii)0.05 seconds (iii)0.01 seconds (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.
When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2 – 230.4t + 9600 If the fixed cost is Tk 192 find the total cost of producing 100 tons.
A water tank initially contains 75 gallons of water, and begins draining water. The rate is given by r(t) -4 (t+1)2 gal/minute, where t is the time in minutes after the tank starts leaking. Let V (t) represent the volume (in gallons) of water in the tank at time t. a. Describe in words what the following expression means, in the context of this problem: V (0) + | r(t)dt b. If the water tank starts leaking at 9:00am, find the amount of water that leaks out of the tank between 9:08am and 9:15am. Round your answer to 2 decimal places. c. Use the net change theorem to find out how long it takes for the tank to fully empty. Give your answer to the nearest minute. -t(t -- 2)(t - 10) d. Suppose that it was raining while the tank is leaking, so water is also filling the tank as water drains out. If V'(t) = represents the rate of change of the t+1 water in the tank, set up (but do not solve) the integral that represents the total amount of change that the volume undergoes fromt = 0 to t = 7 e.…
A tank is discharging water through an orifice at a depth x (m) below the surface of water whose area A (m²). The following are the values of the (corresponding values of (A) w.r.t (x 1.5 1.8 1.95 2.10 2.25 2.4 2.55 2.7 2.85 x (m) 1.65 A (m) 1.25 1.39 1.52 1.65 1.81 1.96 2.12 2.65 2.83 2.29 2.46 :Using the following formula 3.0 A dx T = 1.5 Calculate (T) for the level of water to drop from 1.5 m to 3 m by .Simpson's 1/3 rule 3.

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2. Let 1200 D(q) and S(q) = 3/q+1 Vq+1 where q is measured in boxes and D(q) and S(q) have units of dollars per box. (a) Evaluate D(15) and describe what this quantity is in context. Answer: (b) What is the maximum total amount a consumer is willing to pay for 168 boxes (with units) Answer: