rectangular page is to contain 32 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide. Find the dimensions of the page that will minimize the amount of paper used. (Let x represent the width of the page and let y represent the height.) x=how many inches?   y=how many inches?

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: The side of a square is x meters. The midpoints of its sides are joined to form another square whose…

A: Given side length of outer square =x m and area of smaller square =16 m2. We know the area of a…

Q: Find the dimensions of the rectangle meeting the specified conditions. The perimeter is 390…

A: We have to find the dimensions of the rectangle   The perimeter is 390cm  Width is 25cm less than…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the…

A: The calculation are as follows

Q: Another garden is to be created, but it is to have a paved path around the edge. The garden has to…

A:

Q: The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions f the…

A: Given that: Sum of perimeter of an equilateral triangle and a square is 10

Q: The total revenue (in hundreds of dollars) from the sale of x X-ray machines and y bone density…

A: Given: Rx,y=15+169x+182y-5x2-7y2-7xy

Q: A rectangular solar shipping container has a volume of 84 cubic meters. The client tells…

A: Let the width of the solar shipping container be x meter. Since length is one meter longer than the…

Q: A company that produces cell phones has a cost function of C = 11x – 84x + 21994, where C is the…

A: Given: The cost function C=11x2-84x+21994, where C is the cost in dollars and x is the number of…

Q: A rectangular page is to contain 50 square inches of print. The page has to have a 1-inch margin on…

A: GivenArea of printed  pages=50in2Margin at top and bottom =1 inchMargin on each side=12 inch

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 Ed has 150 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A: Given perimeter of fencing = 150 meters w = x  l = 150 - 2x   we know area of rectangle = length*…

Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: The area and circumference of the circle is πr2, 2πr respectively, where r is the radius of the…

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

Q: A box, with a square base is to have a volume of V = 360 cubic inches. The cost for the materials of…

A:

Q: A large table for a conference room is to be constructed in the shape of a rectangle with two semi…

A: Solution :-A large table is constructedin the shape of rectangle with two semicircles at the endsThe…

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: A company that produces cell phones has a cost function of C = 20x² and x is the number of cell…

A: The given cost function is Cx=20x2-515x+1724. We need to find the number of units of cell phone that…

Q: A rectangle has a perimeter of 196 centimeters. If the length of the rectangle is 6 times its width,…

A:

Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: A rectangular poster is to contain 800 square inches of print. The margins at the top and bottom of…

A: Given data: Area of the poster which contains print is: A = 800 in2 Margin at top and bottom is: x0…

Q: A rectangular page is to contain 8 square inches of print. The margins at the top and bottom of the…

A:

Q: Draw the given optimization problem and solve. Find the area of the largest rectangle (in units)…

A: Since, We have to find area of the largest rectangle that fits into the triangle which sides form by…

Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

A:

Q: The owner of Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land…

A:

Q: The sum of a number x and three times the square of a positive number y is 36. Find the maximum…

A:

Q: Find the number in the interval[-5,5] so that the sum of six times the number and its square is…

A:

Q: My rectangular soccer field site has a length equal to three times its width. Find its area in terms…

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Q: An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is…

A:

Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

A:

Q: A rectangular poster is to contain 722 square inches of print. The margins at the top and bottom of…

A: Follow the procedure given below.

Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

Q: A rectangular area is to be enclosed and divided into thirds. The family has $400 to spend for the…

A:

Q: A company that produces cell phones has a cost function of C = 26x – 593x + 22097, where C is the…

A: Given: Here, 'C' is the cost and 'x' ins the number of cellphone produce. The condition for minimum…

Q: A rectangular page is to contain 50 square inches of print. The margins at the top and bottom of the…

A:

Q: Suppose C(x)=x^2−6x+17 represents the costs, in hundreds, to produce x thousand pens. How many pens…

A:

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A:

Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

A:

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 = 25x² – 174x + 22200, where C is the…

A: Given cost function is,

Q: 3. The cost for making x gizmos is C(x) = x2 - 8x + 30. How many gizmos should be made to minimize…

A: Given C(x)=x2-8x+30

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

A:

Q: A closed box with a square base is to have a volume of 400 cubic centimeters. The material for the…

A: Step 1: Define the problem

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Q: The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the…

A:

Q: A company that produces cell phones has a cost function of C = 28x² in dollars and x is the number…

A: We have to find

Q: A poster is to contain 50 square inches of print material. The margins at the top and bottom of the…

A: Area of rectangle=length* breath