You want to build a pen against a wall with 18ft of fencing, you want to maximize a rectangular pen using the 3 sides (wall is the fourth side). Solve with lagrange multipliers.

Q: A company that produces cell phones has a cost function of C = 9x - 55x + 5652, where C is the cost…

A:

Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given cost function: C=17x2-444x+18816 where C is the cost in dollars, and x is the number of cell…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: We need to find the area between the following. Graph:

Q: Farmer Dan has 24 feet of fencing. He is going to build a rectangular pen and use natural-number…

A: Given fencing leanth. 24 feet

Q: Hannah wants to enclose her rectabgle garden to keep animals out. one side of garden is against…

A: If x, y are length and width width of rectangle respectively then area of rectangle is xy. Length of…

Q: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: Given query is to find the way of fency to minimize the cost.

Q: The sum of the sides of an isosceles triangle is 24ft. find the lengths of the sides that maximize…

A: Given:              Let ΔABC be an isosceles triangle with AB=AC.Let AD be the altitude of the…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Here the fences describe by two-equation y=7x2 andy=x2+4. The area of the enclosed region must be…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: To find the area enclosed between the two curves

Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: y=2x2 & y=x2+12. To find the points of intersection, solve 2x2=x2+12⇒x2=12⇒x=±23 When x=±23,…

Q: Sarah is building a garden in her background. She has 120 m of fencing to put around the edge of her…

A: Fencing of Sarah's vegetable garden is 120m. As she wants to divide the garden into 3 separate…

Q: Use the method of Lagrange multipliers to find the dimensions of a rectangle with perimeter p and…

A: It is given that the perimeter is p and it has maximum area. Let the dimensions of the rectangle be…

Q: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

A:

Q: A company that produces cell phones has a cost function of C = 15x² cost in dollars and æ is the…

A: Given: C(x)=15x2−365x+5783where,C→Cost in dollarsx→Number of cell phones produced (in thousands)

Q: Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and costs C(x) = b + cx + dx², where…

A: given R(x)=18x  and    C(x)=2x+x^2

Q: A hunter is standing on a riverbank and wants to reach his cabin, which is 8 miles west along the…

A: Let hunter runs x miles along the riverbank Speed = 5mph Time = x5 h Diagonal distance = 32+8-x2…

Q: ner decides to endose a rectangular garden, using 100 ft of fencing. What dimensions will maximize…

A:

Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: a rectanglar garden must be constructed so that the width is 150ft. what are the possible values for…

A: For a rectangle whose length is ‘l’ and width is ‘b’ the perimeter ‘p’ is given by the formula.

Q: Patricia decided to build a garden in her backyard. She bought 80 ft. of wire to enclose a…

A:

Q: In an open-top drawer, the material cost of the two sides is $240 per m2. The material cost of the…

A:

Q: When a potter sells his pots for p dollars apiece, he can sell D(p) = 2500 − p 2 of them. Suppose…

A: Given Function for selling price,D(p)=2500-p2

Q: A nut packager has on hand 100 kg of peanuts, 50 kg of cashew nuts and 70 kg macademian nuts. He can…

A: Linear programming is the mathematical program to achieve the optimal solution for a given objective…

Q: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

A: A rancher plans to use an existing stone wall and the side of a barn as a boundary for two adjacent…

Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Abigail wants to build a double corral for her two horses, where each part has equal areas. She has…

A:

Q: A company that produces cell phones has a cost function of C = 21a? – 390z + 21897, where C is the…

A: The cost function is given by C = 21x2-390x+21897 Where, C is the cost in dollars and x is the…

Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

A: Consider the equation

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Given problem:- Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to…

Q: A company that produces cell phones has a cost function of C cost in dollars and a is the number of…

A:

Q: Susan wants to enclose a little rectangular garden against 1 side of her house.  She has 80 feet of…

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown angles…

A: use right angle triangle concept  pythagorean triplet use concept of maxima minima  permeter of…

Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: You have an 8 inch by 10 inch piece of cardboard and you want to make an open topped box. To do this…

A: Given carboard,let size of square be x inchfor critical points,…

Q: ) Ivan is laying out a page of a newspaper. He knows he needs to get 50 square inches of text on the…

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field to keep the sheep…

A:

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

Q: A company that produces cell phones has a cost function of C = 21æ² – 555x + 14960, where C is the…

A:

Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

A:

Q: moer of peces of eqipment used, pasn RU) asoddne C= 40,000x + 820,000 x >0 Using how many pieces of…

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: A company that produces cell phones has a cost function of C = 12x2 – 89x + 16981, where C the cost…

A:

Q: You have 800 feet of fencing to make a pen for hogs. If you have a river on one side of your…

A: We have to make a pen for hogs with 800 feet of fencing. There is a river on one side of the…