The profit per acre from a grove of orange trees is given by x(190 – x) dollars, where x is the number of orange trees per acre. How many trees per acre will maximize the profit? 9025 X trees per acre

Q: The monthly revenue for printer ink for a large office supply store is R(x)=-x^2+12x+13 where X is…

A: Revenue R = - x2 + 12x + 13

Q: a piece of letter-sized paper is 8 1/2 inches wide and 11 inches long. suppose you want to cut…

A:

Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

A: Since a 5-foot string is cut into two pieces, therefore, the sum of the length of these two pieces…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A:

Q: the length of the rectangle is 4m more than its width. if its perimeter must be at least 40m…

A: We have to solve given problem:

Q: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is x cm. The…

A: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is =(x) cm. The…

Q: An air filter has a width of 23 inchws and a length of (3x+32) inches. Find the value of x such that…

A:

Q: Linh has obtained scores of 84,79, and 71 on her midterm algebra exams. If the final exam counts…

A: We have given average score =80

Q: Find three positive numbers whose sum is 310 and whose product is a maximum.

A:

Q: Solve for x F 135° (4x-3)

A: Given, The given angle ∠135° and ∠(4x-3)° are the supplementary angle  We know that two angles are…

Q: Laura has a rectangular garden whose width is x3 and whose length is x4.In terms of x, what is the…

A:

Q: A manufacturer of Chocolate has a fixed cost of Tk.60000 and variable cost is Tk.7 per produced…

A: The fixed cost for manufacturing chocolate is Tk.60,000 and the variable cost is Tk.7 per chocolate.…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: The revenue function R(x,y) is a function in two variables. Hence the maximum revenue will be at a…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A:

Q: A rectangle with an area of 50 cm2 is x cm wide and (x + 3) cm long. To the nearest tenth of a…

A: We have to find the width and length  of the rectangle.

Q: A cable company has 5000 paying customers when it bills $20/month. If it figures to lose 400…

A: Linear relation between two elements is obtained when the ratio of the elements remains the same…

Q: What does it mean when a perimeter is 16 times the width or when something is X times the X?

A: There are 4 operations in mathematics which are addition, subtraction, multiplication and division.…

Q: A rectangle with an area of 50 cm² is x cm wide and (x + 3) cm long. To the nearest tenth of a…

A: Let's find width and length of rectangle.

Q: A company has $56320 to spend on the development and promotion of a new product. The company…

A:

Q: A company sells at 500 pesos per item everything it produces of certain merchandise. If x items are…

A: Company sells per item at 500 pesos. and we have total cost of production and sales are given by…

Q: What is the maximum amount of area you can fence with 400 feet of fencing if you need to make three…

A: Definition used -           Perimeter of a diagram - Sum of lengths of sides of the diagram is…

Q: 4.The area of a rectangular wall of a barn is 64 square feet. Its length is 8 feet longer than twice…

A:

Q: A building worth $825,000 is depreciated for tax purposes by its owner using the straight-line…

A:

Q: A piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

Q: To approximate the profit from the production and sale of the 145th skirt, what value do you plug…

A: P(x) denotes the profit function and P'(x) denotes the marginal profit function.

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A:

Q: Find the price per unit that makes the maximum profit p if c(x)= 45+76x and p=96-2x

A: Given c(x)=45+76x and p=96-2x

Q: Find the dimensions of the rectangle that'll give the max rectangle area, of perimeter of entire…

A: The perimeter of the entire figure is 12 feet.

Q: The total number of spaces in a parking lot is modeled by f(x)=2x2−10x, where x represents the…

A:

Q: The combined yearly interest for x dollars invested at 12% and 30,000 - x dollars invested at 9%…

A: Given Data The interest rate for x dollars invested is n1=12%. The interest rate for 30000-x dollars…

Q: The total number of seats in an auditorium is modeled by f(x) = 2x2 - 6x, where x represents the…

A: Given,          The total number of seats in an auditorium is modeled by fx=2x2-6x, where…

Q: You have 40 feet of fence to enclose a rectangular garden with two subdivisions. What is the maximum…

A:

Q: A piece of letter-size paper is 8 1/2 inches wide and 11 inches long.Suppose you want to cut strips…

A: Let 'n' be the number of strips of paper that can be made from 1 piece of letter sized paper. Given…

Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: A rectangular prism has a volume of 120 cubic inches. The length of the prism is 5 inches, the width…

A: Volume of prism is = (widht)(length)(height)

Q: revenue

A:

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6800 ft. What are its dimensions? s…

A: Given: A rectangular garden whose length is 5 feet more than its width. The area of the garden is…

Q: what is the end function. f(x)=120+39x+3x^2

A: Given function,  f(x)=120+39x+3x^2   As it is quadratic equation, with upward opening.    Thus end…

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used…

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: The producers of a new television show expect the number of viewers (in thousands) to increase at a…

A:

Q: Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is…

A: Consider the given revenue.

Q: A wholesaler of appliances finds that she can sell (1500 − x) flat-screen television sets each week…

A: The maximum revenue is -b/2a Where b is the coefficient of X  And a is the coefficient of x2

Q: A wholesaler of appliances finds that she can sell  (1100 − x)  flat-screen television sets each…

A:

Q: A company can manufacture xx hundred items for a total cost of C=500+900x-100x2. Find x if the total…

A: Given: total cost of C=500+900x-100x2. Find x if the total cost is $1,900. To find x .

Q: Find two numbers whose sum is 11 and product is a maximum?

A:

Q: A cyclist traveled 8 kilometers per hour faster than an in-line skater. In the time it took the…

A: Given :Given :Skater travels = 55 km Cyclist travels = 99 kmtime=distancespeed

Q: What is the area of a rectangle whose width is 10 and whose length is 4 more than twice the width?

A: Explanation of the answer is as follows