3. Suppose that the utility function for two commodities is given by U = x?y³ and that the budget constraint is 10x + 15y = 250. What values of x and y will maximize utility?

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A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

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Q: Use graphical methods to solve the following linear programming problem. Ay 10 Maximize: z= 3x + y…

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Q: Find the maximum and/or minimum value(s) of the objective function on the feasible set S. (If an…

A: GIVEN: Z = 3x - y

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Given,z=160 p0.6r0.4P=$400,  R=$2,800400P+ 2800R=420,000 To find: A) Units of chemical P,(p) and…

Q: i. What is the optimal solution if es (coefficient of x) is increased to 6? ii. How much increase or…

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Q: Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and…

A: The given linear programming problem is:              Maximize z=2x+1.25y  subject to the…

Q: c) Suppose that the utility function for two products is given by U = xy², and the budget constraint…

A: Given  U = xy3 and constraint 3x+4y = 48

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A: Given data  w=t= 10 P^x =t^y = 2 P^y=t^x=1

Q: Calculate the minimum value of 3x + 6y subject to the following constraints: x+y2 2 x + 2y s 5 x+ys6…

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Q: Maximize f = −x + 4y + 5z subject to the following constraints. x  +  y  +  z  ≤  55 −x  +  y  +  z…

A: Use the simplex method to evaluate the optimization problem. Convert the equation into canonical…

Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

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Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: 6. Maximize 10x +35y subject to 8x + 6y < 48 (board-feet of lumber) 4x+y 20 (hours of carpentry) y 2…

A: Given: max 10x+35ysubject to8x+6y≤484x+y≤20y≥5x,y≥0

Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4   To Maximize the given function…

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Q: Suppose that Isabella has 80 hours per week to allocate between work and leisure and she earns $10…

A: Let us take the total number of working hours as H and leisure hours as L.  Then L+H = 80, H = 80-L…

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A: Let x1 and x2 denotes the number of bowls and mugs produces. Use graphical method to solve the LPP.…

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A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical Pand r…

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Q: Maximize z = x + 2y Subject to: x + y s 12 (resource A), x < 8 (resource B), y < 6 (resource C), х,у…

A: We have to find given probability.

Q: Find the maximum and/or minimum value(s) of the objective function on the feasible set S. (If an…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Given z=70p0.5r0.5 Cost of chemical P, Cp= $100 per unit Cost of chemical R, Cr= $600 per unit…

Q: In Genshin Impact, the optimal crit rate x to crit damage y ratio can be obtained by maximizing the…

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Q: ind the optimal solution for the following problem. Maximize C = 4x + 12y subject to 3x + 5y ≤ 12…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Production of chemical Z is given by: z=90 p0.8 r0.2 Cost of chemical P is $ 400 a unit Cost of…

Q: Also, we must have *0. yz0. Therefore, the above problem can be formulated as follows: find x and y…

A: Given the LPP problem is, Max z=2x+125y12x+13y≤130...112x+23y≤170...2 Converting the given…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: A software engineer recently developed an online game. He found out that the optimal crit rate x to…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Maximize the objective function subject to the constraints 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y…

A: Given: 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y ≥ 0. Z = 4x + y

Q: 6. Suppose a company has two separate plants that manufacture the same item. Suppose x is the amount…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: a. A company’s cost function for producing two components is given by C(x, y) = x2 + 2y2 − xy The…

A: Solution is given by using Lagrange multipliers method as follows

Q: identify the optional (highest utility) consumption for Edgar.

A: Given, Hot dogs Soda 0 10 1 8 2 6 3 4 4 2 5 0

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Consider the given information.

Q: 6. In Genshin Impact, the optimal crit rate z to crit damage y ratio can be obtained by maximizing 2…

A: We have the following optimization problem : maximize :  z = xy constraint :  x + y/2 = 100

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Q: What combination of x and y will provide the optimal solution and maximize the objective function…

A: I have solved using simplex algorithm

Q: In Genshin Impact, the optimal crit rate x to crit damage y ratio can be obtained by maximizing the…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

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A: Given: Z=3x+2y Solution: Now we shall determine the value at every point, at (3,6) Z=33+26=21 Now at…

Q: In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing the…

A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising  the…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and 7…

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