(part A) What is the objective function F for this problem, before taking any constraints intoaccount? Your answer should be an expression involving both x and y explicitly.F(x,y) =D(part B) What is the constraint equation for this problem? Your answer should be an equationinvolving both x and y explicitly.answer:(part C) Write the objective function in te ns of x only, the total length of the enclosure. Youranswer should be an expression that involves x explicitly but not y.f(x)%3=(part D) The interval of interest for f(x) is. Write your answer using interval notation.(part E) Find the dimensions of the enclosure that requires the least amount of fencing. Youanswers should be exact numbers. No decimal approximations.y3= Farmer Miller is building an enclosure that must have an area of 108 m, The esubdivided into 6 pens of equal area, as shown below.Note: The total length of the enclosure is X, and the total width of the enclosure is yYour primary task is to determine the dimensions of the enclosure that will require thof fencing. Answer the five parts to the right.

According to given, F(x,y)= Total enclosure= 3x+3y= 3(x+y) Area=xy=108 m². Therefore, x= 108/y

Answered: (part A) What is the objective function…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Write the constraint inequalities for the situation: Kim and Lynne produce pottery vases and bowls. A vase requires 35 ounces of clay in 5 ounces of glaze. Able requires 20 ounces of Clay and 10 ounces of glaze. There are 500 ounces of clay available 200 ounces of glaze available. The profit on one basis five dollars and the profit on bowl is four dollars
A rectangle has perimeter 10 units. This gives you the constraint equation 6+h = 10. You want to determine the dimension of the rectangle with the greatest area A = bh. Which of the following is the objective function written in terms of a single variable? O A = b(b – 10) A= 106 – 62 OA = b(10 – b) OA = h(10 – h) b A = 10-6 10-h A = h | None of the above options are correct.
Find the values of x, and x, where the following two constraints intersect. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (1) 7x1 + 10x2 2 58 (2) 6x1 + 1x2 2 20 х1 x2
Read the information below and construct the objective function, and the associated constraint inequalities. DO NOT SOLVE THE MINIMUM PROBLEM. A nutritionist advises an individual who is suffering from iron and vitamin-B deficiency to take at least 1700 milligrams (mg) of iron, at least 2300 mg of vitamin B1 (thiamine), and at least 2000 mg of vitamin B2 (riboflavin) over a period of time. Two vitamin pills, brand A and brand B, are suitable to meet these requirements. Each brand A pill costs $0.07 and contains 80 mg of iron, 60 mg of vitamin B1, and 20 mg of vitamin B2. Each brand B pill costs $0.10 and contains 35 mg of iron, 40 mg of vitamins B1, and 28 mg of vitamin B2. Construct the objective function for minimizing the cost, and construct the associated constraint inequalities by selecting the appropriate symbol or number from the dropdown lists below. Note: The symbol = in the dropdown list indicates "greater than or equal to". C [Select] [Select] 60A+ [Select ] [Select] A…
Set up the objective function and the constraints, but do not solve. Wilson Electronics produces a standard Blu-ray player and a deluxe Blu-ray player. The company has 2800 hours of labor and $19,000 in operating expenses available each week. It takes 7 hours to produce a standard Blu-ray player and 8 hours to produce a deluxe Blu-ray player. Each standard Blu-ray player costs $115, and each deluxe Blu-ray player costs $136. The company is required to produce at least 25 standard Blu-ray players. The company makes a profit of $39 for each standard Blu-ray player and $28 for each deluxe Blu-ray player. How many of each type of Blu-ray player should be produced to maximize profit? (Let x represent the number of standard Blu-ray players, y the number of deluxe Blu-ray players, and z the profit in dollars.) z = , subject to labor operating expense required standard Blu-ray players y ≥ 0
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Find the values of x1 and x2 where the following two constraints intersect. (Round your answers to 3 decimal places.) (1) 10x1 + 5x2 ≥ 50 (2) 1x1 + 2x2 ≥ 12
You are designing a cylindrical barrel that can hold 16π m3 of crude oil. Find the radius r and heighth of the barrel that uses the least amount of material possible.(Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its volume is V = πr2h.)(a) Draw a diagram representing this situation.(b) Write the objective and constraint functions.Objective:Constraint:(c) Use the constraint function to write the objective as a function of one variable.(d) Determine the radius and height for the absolute minimum surface area
Q6: Create a model using an Algebraic Constraint block to find a solution for the non-linear equation: F(x) = 3x-2x + 6x – 8
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