solve question 5(iv) with complete explanation asap and get multiple upvotes 3. Consider the following demand and supply functions:Qd = 80 – 2P= -100 + 8PFind the equilibrium price and quantitySuppose govt. imposes a sales tax of TK.4 per unit, calculate the new equilibrium price and quantity.Suppose govt. provides subsidy of TK.3 per unit, calculate the new equilibrium price and quantity.(i)(ii)(iii)4. Consider the following coordinate points:(-6, 8) and (4,14); (5,3) and (8, -10)(i) Find the slope of the line.(ii) Write down the equation of the line.5. Find the of the followings:dx(i)y = x²lnx (ii) y =(iii) y = (4x² – 20)(6x + 5) (iv) y = (4x² – 20x + 50)6%3DInx

dxndx = n.xn-1. Chain Rule of differentiation : If f(x) and g(x) are two differentiable function…

Answered: 5. Find the dy of the followings: dx…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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A manufacturing company purchases new products each year for use in the company. The product cost Rs.45,000 new. They are use for 3 years, after with they are sold for Rs. 80,000. The owner of the company estimates the variable cost of operating the products exclusive of engine, are Rs 0.96 per kilometer. Products are manufactures for a flat fee of Rs. 0.63 per kilometer (engine not included) A: Formulate the total revenue function associated with selling of the products of x kilometer over 4 year’s period. B: Formulate the total cost function associated with selling of the products of x kilometer over 4 years period C: Formulate the total profit function associated with selling of the products of x kilometer over 4 years period D: What is the profit if a product is a manufactured for 83,000 kilometers over a 4 years period? E: What kilometer age is required in order to urn 0 profit for 3 years? F: What is the restricted domain and restricted range for the function?
2. The demand and supply functions for seats on a certain weekend bus route are given by Demand function: P = 58-0.2Q Supply function: P = 4 +0.1Q (a) Calculate the equilibrium price and quantity. Plot the demand and supply functions and illustrate consumer and producer surplus at equilibrium. (b) Calculate: (i) The amount consumers pay for bus journeys at equilibrium. (ii) The amount consumers are willing to pay for bus journeys up to equilibrium. (iii) The consumer surplus (CS); hence, show that the CS = (ii) - (i). (c) Calculate: (i) The amount the producer (bus company) receives for bus journeys at equilibrium. (ii) The amount the producer is willing to accept for bus journeys up to equilibrium. (iii) The producer surplus (PS); hence, show that the PS = (i) - (ii).
Suppose that the long-lasting light bulb supply equation is given by p = 1.04 q - 7.03 and that the demand equation for light bulbs is p=-0.81q + 7.5, where q is in thousands of cases. Find the equilibrium price and quantity and plot the two equations in the same coordinate system.
Agnes, a General Manager in XXX Company, estimated a multiplicative demand function of the form: using a cross-section data collected in the company sales on 30th June, 2019. The estimation results are as follows: (SEE IMAGE) Write down the estimated demand equation Interpret the coefficients and R2 value Describe any three managerial decisions that can be applied by the manager from the estimated demand function
16.
A supply function has the equation is p= 1/2q2 + 40, and the demand function is decribed by the equation p= 86 - 6q - 3q2. Algebraically determine the equilibrium point for the supply and demand functions. A) E(2.87, –4.58) B) E(–4.58, 44.11) C) E (1/2, 86) D) E(2.87, 44.11) E) E(2.87, 4.11)
The demand function for a certain product is q- 90 + 2p = 0, 0595 90, where q is the number of units and p is the price per unit, and the average cost function is Cau = q² – 8q + 57 + , osas00. At what value of q will there be maximum profit? What is the maximum profit?
Suppose that • The Demand Price Function is p = D(x) = 120 -0.02x. • The selling price has been established as p = 60. The goal is to find the value of the Consumers' Surplus (CS) by two methods. Method 1 (Using Geometry) Do the following: a. For the selling price p 60, find the corresponding Demand, x. b. Graph the Demand Price Function D(x). What is the domain of this function? Why? c. Plot the point (x,p) on the graph of the Demand Price Function that you just made. d. Shade the region corresponding to the Consumers' Surplus. e. Use a simple geometric formula for area to find the area of the region that you shaded on your graph. This is the Consumers' Surplus, computed using Geometry. Method 2 (Using Calculus) Do the following: f. Set up the definite integral that calculates the Consumers' Surplus. That is, set up the integral x √ [D(x) − p]dx g. Find the value of the Consumers' Surplus by evaluating the definite integral that you set up in part (f). This is the Consumers' Surplus,…
4. First statement: In Maternal mortality rate, the denominator of the equation should be the death birth rather than number of pregnancies, but for simplicity, the number of pregnancies is used to estimate the number of death Birth. Second statement: The constant multiplier used is typically 10.000 because in recent decades the maternal mortality rate in many developed countries has declined to less than 1 per 1,000 live births. A. First statement is correct: Second statement is incorrectB. Both statements are TRUEC. Both statements are FALSED. First statement is incorrect; Second statement is correct
Your firm has recently started to give economic advice your clients. Acting as a consultant you have estimated the demand curve ofa client's firm to be: AR=200-8X. where AR is average revenue (Tsh) and x is output. Investigation of the client firm's cost profile shows that marginal cost is given by MC=X²-28X+211 where MC is marginal cost(Tsh). Further investigation has shown that the firm's costs when not producing output are Tsh 10. Required a)If the total cost is the integral of marginal cost,find the equation of total cost. b)Find the equation of total revenue. c)Find the turning point (s) of the firm's profit curve and say whether these points are maxima or minima. d) Find the equation for marginal revenue
CAN YOU WRITE DOWN BREIF SOLUTIONS PLEASE
2- If the value of the price elasticity of supply is equal to 0.11 -Es = 0.11, the slope = -0.5 and the price is 2 = P, then The value of Q is equal to . 50 9 O 6 O

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5. Find the dy of the followings: dx (i) y = x²lnx (ii) y = (iii) y = (4x² – 20)(6x +5) (iv) y = (4x² – 20x + 50)6 %3D Inx