Solve the consumers maximization problem JynuuÉvo Σαπώθηκε από max U = x + 0log(a + A) subject to x+pa ≤m, x≥0, a ≥ 0 variables x, a Parameters >0, A≥0, p>0,m>0 Page 2 3 (9)
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- | 2) Find the minimum and maximum value for the function with the given domain interval. ule) = aven 1 w(x) %3D 12 1 maximum value = minimum value = 12 minimum value 12; maximum value = 7 minimum value none; maximum value = none minimum value 7; maximum value 12 1 maximum value = 12 1 minimum value = © 2015, Responsive Education Solutions". All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from Responsive Education Solutions. PREVIOUS NEXT SAMSUNG $ & 6. 7 t y i f j kFind the local and/or absolute maxima and minima for the function over the specified domain: y = |x+1| + |x− 1| over [-3,2] . Leave answers blank when none exists. Absolute maximums: + Absolute minimums: Local maximums: Local minimums: + + + + Click here to create a new row © Rice University 20171 3 Let_ƒ(x) = = x³ – 2x². - 1. Find critical numbers of the function. Type your answer here to separate answers as needed. If the function has no critical numbers, type none. 2. Find x-coordinate of a relative maximum point if any. Type your answer here . If the function has no relative maximum points, type none. 3. Find x-coordinate of a relative minimum point if any. Type your answer here . If the function has no relative minimum points, type none. 4. Find x-coordinate of an inflection point if any. Type your answer here the function has no inflection points, type none. . Use a comma . If
- Find two positive numbers whose product is 100 and whose sum is a minimum. • Identify the Objective Function (OF) ?(?,?) • Identify the Constraint • Use the Constraint to express the OF by a function ?(?) •Identify the Interval of Interest • Find the ?-value(s) of a Critical Point(s) • Apply the Second Derivative Test (SDT) • Apply the Extreme Value Theorem (EVT) • Show both numbersThe quantity of the demand per month of a certain accessory is related to the price (in pesos) per accessory as modeled by the demand function P(x)= 500/0.01x^2 +1 , where x is the number of accessories and 0 ≤x ≤ 50. How many accessories must be sold in order for the manufacturer to realize a maximum revenue R given by R(x)= x*P(x)?Consider the function f(x)=2x^3+27x^2-60x+1, -10≤x≤2. Find the absolute minimum and maximum value of this function
- (a) Write the linear interpolation/ shape functions relevant for the 2D rectangular element shown below identifying the shape function for each node. Use the property that N,(x,)= 5, to derive the functions. For example, at node 1, N = 1, so using the equations of line 23 and line 34, we (x-a)(y-b) may write N = Sımilarly, interpolation function N2 should involve equations of %3D 4ab lines 34 and 14, and so onSuppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.) V = _______mph
