Differentiate the function.g(x) = (x⁹ - 8x)-2g'(x) =Differentiate the function.5f'(s)=f(s)=(2s7 + 1)4Differentiate the function.1g(x)=(2x+5x+1) 3/4g'(x) =Differentiate the function.dyy = √√√3x² + 6x + 2dx

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Answered: Differentiate the function. g(x) = (x⁹…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Maximize the following equation: w (x, y) = -3x² + 30x – 6y² + 48y Subject to x + y = 5 O x=2.33; y=2.67 O x=3.33; y=2.67 O x=2.33; y=3.67 O x=12.33; y=12.67
a) Given that a firm has a production technology, y= (X² + X²)², derive the MRTS12
Spark Studio produces commercials for other companis. A 2-minute commercial, for example, needs exactly 5 minutes of filming and 8 minutes of editing. Let x1 denote the minutes of filming and x2 denote the minutes of editing. a) Suppose that filming costs $45 per minute and editing costs $10 per minute. To produce a 5-miunte commercial, how many minutes of filming and how many minutes of editing Does Spark studio need to minimize cost? How much is this cost? Draw a graph of the isoquant and isocost line to show this optimal bundle. b) Rocket Media, another commercial production company, uses a different technology. The length of commercials it produces is equal to the longer of the two: one-third of the length of filming and one-fourth of the length of editing. When w1 = 15 and w2 = 10, derive Rocket Media's cost function c(y).
T = - Q² + 17Q – 60 Find Q that maximizes the function:
Question Google is considering an advertising campaign that is expected to increase the sales of its Pixel phone by 20%. Suppose that currently Google sells 1,000,000 units at $500 per unit and the variable cost per unit is $300. If the cost of the advertising campaign is $50 million, will Google find it acceptable? Question An attractive feature of new cell phones that was introduce d in recent years is that you can switch carriers easily with the same device. How does this feature affect demand for wireless phone services? What are the likely effects on the demand that a particular US carrier is facing? Are there any elasticities that were likely to be affected?
TC= 1/3 Q^3- 15Q^2 + 480Q+ 900 a) Write down the equation for MC, AFC b) Find the values of Q for which MC and AVC are minimized c) Plot the graph of MC, AFC and AVC on the same graph. Comment
The sales function for a product is given by S(x)=119+40.5x2−0.5x3 where x represents thousands of dollars spent on advertising, 0≤x≤54 and S is in thousands of dollars.x Find the point of diminishing returns. Enter the amount spent on advertising as well as the sales in dollars. Amount Spent on Advertising:$ ____ total Sales: $___
.(a) A firm has production function q(k,l) = k'/³1²/3, where k denotes the capital used and I denotes the labour employed. Suppose that each unit of capital costs v dollars and each unit of labour costs w dollars, so that the capital and labour costs are vk + wl. Use the Lagrange multiplier method to determine the values of k and I that minimise the cost of producing Q units of the firm's good. Find the corresponding minimised value, C, of this cost and the value, X*, of the Lagrange multiplier corresponding to the optimising values of k and l. Show that d* =
Consider the following function: f(x,y,w) =(x2/y) + (2w2/x). Is this homogeneous? If so, to what degree? Please show the steps to solving this.
A T-shirt screener can screen t-shirts (q) in two different ways. He can either use a fast screening machine (F) or a slow screening machine (S). Screen use is defined in terms of ”hours” running. His production function is f(F, S) = 10F + 6S. (a) The screener wants to be able to produce 120 shirts. List three feasible and efficient production plans (combinations of inputs) for doing this. (b) Graph the screener’s isoquant curve for q = 120. (c) The hourly cost of using the fast machine is $800 and the hourly cost of the slow machine is $200. What is the cost minimizing (optimal) combination of inputs for producing 120 shirts? (d) Suppose the screener must now produce 400 shirts. What is the cost minimizing combination of inputs?
5. An entrepreneur has costs for storing and shipping materials for his manufacturing process given by the function C (k) = 100 (100 + 9k + 144 / k) when 1 ≤ k ≤ 100, where C (k) is the cost total storage and transportation for 100 days of operation. If a load of k tons of material moves every k days, for what values of k does C (k) have a minimum value?
Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you spend the corresponding number of hours on that project: How would you allocate your time across the projects?What is the maximum total money you could make?

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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