During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y bars of chocolate using the following function: f(x, y) = Vxy. If Cynthia has USD 5.00 to spend and each bag of candies and each bar of chocolate cost USD 1.50 and USD 1.00, resp.., how many bags of candies and bars of chocolate should she purchase to maximize her urgency? Use Lagrange Optimization to solve this problem. (Note: Fractional number of bags and bars can be purchased.)

Q: The value of a timber forest after t years is V(t) = 434Vt - 31t (for 0 sts 50). Find when its value…

A: Given,  V(t)=434t-31t

Q: Given the Cobb-Douglas function f(x, y) = 30x0.3y0.7, x is the number of units of capital input and…

A: Marginal productivity of capital at x=4500 and y=3000 is:

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: A retailer has been selling 2,000 computers a week at $850 each. The marketing department predicts…

A:

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: A case of vintage wine appreciates in value each year, but there is also an annual storage charge.…

A: Answer

Q: A rectangular billboard 9 feet in height stands in a field so that its bottom is 6 feet above the…

A: To maximize the function, we have to differentiate the function first and then equate with zero.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: The demand and supply functions for your college newspaper are, q = −9,000p + 4,000 and q = 2,000p +…

A:

Q: Your automobile assembly plant has a Cobb-Douglas production function given by q = x0.4y0.6…

A: Annual operating costs amount to an average of $20,000 per employee plus the operating budget of…

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

A:

Q: The total weekly profit (in dollars) that Walmart gets from producing and selling its stationary…

A: Given: The total weekly profit that walmart gets from producing and selling it's stationary items is…

Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

Q: A baseball team plays in he stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

Q: DA manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates…

A: Given that: Price at which manufacturer sells 1200 television sets per week = $540 For $12 rebate,…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Put second derivative zero

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y…

A:

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: GivenRevenue functionR(x)=50x-0.1x2And Cost functionC(x)=5x+30NowProfit function is given by…

Q: a sugar can processing company was investigating whether it should raise their prices to increase…

A: Given that the demand function is px =10.8 - 0.24 x  .................(1) Let r(x) be the revenue…

Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A: A function f(x) will have its minimum value at a point x=a, when the first derivative of the…

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to vield the…

A:

Q: Q1-Find the local maxima, minima, and saddle points of the function: f(x, y) = x' + 3ay + y

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A baseball team plays in a stadium that holds 55,000 spectators.With ticket prices at  $10, the…

A:

Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: Find the relative minimum f(x,y)=288y2+x2-x2y

A: According to the given information it is requires to find the relative minimum of the function:

Q: ) The demand function for a tablet is given by the model p=200 –16x² where p is measured dollars per…

A:

Q: arke

A: please refer to the image below

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: The financial analysis department of a software design company determined that the cost of producing…

A: Given: C(x)=5000+3x p=23-x500 R(x)=px=23x-x2500

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: A printed poster is to have a total area of 567 square inches with top and bottom margins of 6…

A: Given: In the printed poster is to have a Total area = 567 square inches  The top and bottom margins…

Q: Ketura sells backpack danglies to tourists for $15 each, so her weekly revenue is R(x) = 15x. The…

A: weekly revenue function R(x)=15xThe cost function C(x)=15+8x+0.05x2

Q: A manufacturer determines that the profit P (in dollars) obtained by producing and selling x units…

A: Given:            Profit model:                              P(x,…

Q: Suppose a manufacturer of washing machines found that when the unit price is $x, the revenue R (in…

A:

Q: Aki's Bicycle Designs gas determined that when x hundred bicycles are built, the average cost per…

A: Consider the given average cost per bicycle is  Cx=0.5x2-0.5x+7.024 where C(x) is in hundreds of…

Q: For the cost function C(x) = 9000 + 80x + 0.007x³ find: %3D A) The production level that will…

A: Given,           The cost function is Cx=9000+80x+0.007x3.

Q: An electronics manufacturer determines that the profit P(in dollars) obtained  by producing and…

A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

Q: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x0.7y0.3 , where Q…

A: The product function is given by, Q=fx,y=180x0.7y0.3 Here  Q is the number of pairs of skis…

Q: The demand and supply functions for your college newspaper are, q = -11,000p + 4,400 and q = 2,000p…

A: Given that the demand equation is q=−11,000p+4,400 And supply equation is given by q=2,000p+500.…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: