Differentiate the function.f'(x) =f(x) = (3x7 - 4)16Differentiate the function.3h(x) = (x5 - 3x3 + 2)84h'(x)=Differentiate the function.s(t) = 3t 4(3+4 + 3) 3-s'(t) =

Answered: Differentiate the function. f'(x) =…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A sheet of paper 80 cm-by-72 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. X = is the max.
A lake has two species of fish: bass and catfish. The number of bass and catfish living in the lake, B and C respectively, depend on the temperature of the lake, T (in degrees Farenheit). The functions modeling this dependency are given below: B(T) = 8T2 + 976T – 28890 С(Т) 3D — 2T?+244T — 6893 What are the two temperatures at which the number of bass in the lake is the same as the number of catfish? Enter exact expressions or round your answers to the nearest thousandth. T : T
Differentiate the function. g(x) = (x⁹ - 8x)-2 g'(x) = Differentiate the function. 5 f'(s) = f(s) = (2s7 + 1)4 Differentiate the function. 1 g(x) = (2x+5x+1) 3/4 g'(x) = Differentiate the function. dy y = √√√3x² + 6x + 2 dx
To produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1800 and the marginal cost is MC = 90Vx + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select-- | of $ (b) How many units will result in a maximum profit? units
You manufacture ceramic lawn ornaments. After several months your accountant tells you that your profit P(n) can be modeled by the function P(n)= -0.002n^2+5.2n-1208 where n is number of ornaments sold each month. A) How many ornaments must you make and sell to break even. B) How many ornaments must you make and sell to maximize profit. C) What is the maximum profit. D) How many ornaments must you make and sell in order to earn a profit of $1657.
A manufacture has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ c) If the weekly cost function is 105000 + 150x, how should it set the size of the rebate to maximize its profit? $ Submit Question
In a certain store, cashiers can serve 45 customers per hour on average. If a customers arrive at the store in a given hour, then the average number of customers C waiting in line can be modeled by the function x² C(x) = 2025 - 45x where x < 45. Answer the following questions with a graphing calculator. Round your answers to integers. 1) If 40 customers arrived in the store in the past hour, there are approximately 7 2) If there are 2 customers waiting in line, approximately customers waiting in line. customers arrived in the past hour.
A manufacture has been selling 1350 television sets a week at $450 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. a) Find the demand function p(x), where a is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? S c) If the weekly cost function is 101250+ 150z, how should it set the size of the rebate to maximize its profit?

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Differentiate the function. f'(x) = f(x) = (3x7 - 4)16 Differentiate the function. 3 h(x) = (x5 - 3x3 + 2)8 4 h'(x) = Differentiate the function. s(t) = 3t 4(3+4 + 3) 3 - s'(t) =