Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint x + y = 42. a. using the substitution method. b. using the Lagrange multiplier method.

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

Q: Find the quadratic function y= ax + bx +c whose graph passes through the given points. (1,- 3),…

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Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $116…

A: The total cost of labor (at $116 per unit) and capital (at $50 per unit) is limited to $220000. Px,…

Q: se the simplex method to maximize the given function. Assume all variables are nonnegative.…

A: Let's introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equations:x + s₁ +…

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

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Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative.…

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Q: An open-top box with a square base is made with 1200 cm2 of cardboard. A. Express the area A = 1200…

A: The calculations are as follows

Q: Find the quadratic y=ax2+bx+c that best fits the data points (−2,−37),(−1,63),(0,−43),(1,−5),(2,2) .…

A: To find the quadratic equation that best fits the given data points, we need to solve for the…

Q: Suppose that the profit (in hundreds of dollars) of a pharmaceutical company is approximated by P(x,…

A: Given,Px,y=1500+36x-1.5x2+120y-2y2 it is a function in two variable , to find the maximum of px,y.

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,8) and passes through the…

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Q: Use Lagrange multiplier to find the maximum and minimum values of the function subject to the given…

A: Find the gradients of f(x,y) and g(x,y), where g(x,y) = 4x2 + 2y2 = 18 Gradient of f(x,y) = (8,2)…

Q: ) y=f(x)+g(x) b) y=g(x)−f(x) c) y = f(x)g(x)

A: We are given a graph of two functions. The function f(x) is a linear function and g(x) is a…

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Following information given below.

Q: A grocery store sells two brands of a product, the "house" brand and a "name" brand. The manager…

A: The revenue generated from the "house" brand and "name" brand is calculated as, Revenue=∑selling…

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Let us assume two functions f(x) and g(x) such that f(x) is a linear function with a negative…

Q: Maximize or minimize f(x) = ax3 + bx2 + cx + d.  There might be a maximum or a minimum or both or…

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