- Minimizing Costs A rancher wants to build a rectangular pen with an area of 100 m2. (a) Find a function that models the length of fencing required. (b) Find the pen dimensions that require the minimum amount of fencing.

Q: A rectangular pen i built with one side against a barn. Find the dimensions of the pen that will…

A:

Q: Supply function is defined as

A:

Q: A company is planning to manufacture small canoes. Fixed monthly cost will be $20,000 and it will…

A: Given Fixed cost=$20,000 Production cost of each canoe=$20

Q: SUIU at prodices a maximum revenue. What is the maximum revenue? 7. A manufacturer of lighting…

A: Solve the above question.

Q: A small rectangular box must be constructed with a volume of 10 cubic inches, a square base, and no…

A:

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Solution: Given , Perimeter=80cm square of side=2cm

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 81 ft³. If the…

A: The length of the side of square base is x feet and height of the box is y feet. Volume of the box…

Q: The reproduction function for the North American duck is estimated to be f(p) = -0.02p2 + 7p, where…

A: Formula: The vertex of quadratic function y=ax2+bx+c is given by, -b2a, f-b2a Given: The…

Q: The demand function for a manufacturer's product is p=f(g)=-010g+ 170, where p is the price (in…

A: we know that revenue=(number of item) x (demand…

Q: a. Find the Total Revenue (TR) function. b. What is the level of quantity when total revenue is…

A:

Q: The revenue function for a bicycle shop is gi maximum revenue.

A: First differentiate revenue and put it zero to get value of xx Put value in revenue

Q: 6. The cost function for a paper towel plant is C(x) = 160x +750,000. %3D a. What are the fixed…

A: The cost function for a paper towel plant is  C(x) = 160x + 750000

Q: Maximizing volume. From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the…

A:

Q: A soda can needs to contain 355ml of liquid (note: 1ml=1cubic centimeter). What dimensions should be…

A: Given the volume of a soda canV=355 cm3

Q: The weekly demand function for x units of a product sold by only one firm is p = 300 - x dollars,…

A:

Q: A farmer uses 200 m of fencing to build three sides of a coop along a river, using the river as the…

A:

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft. If the…

A: Lagrange multiplier

Q: (i)Construct the LP model to maximize profit. (ii) Obtain the optimum solution graphically by…

A: according to given condition, we have     M1 M2   x P1 2 hr 1 hr 5 y P2 1 hr 3 hr 6 Max   8…

Q: If Total utility function Tu= x3-30 X2 Find number of consumption where is Average Utility are…

A:

Q: An open box with a square base is to have a volume of 12 ft3 . (a) Find a function that models the…

A: Consider the equation

Q: The weekly demand function for x units of a product sold by only one firm is p = 600 – x dollars,…

A:

Q: The weekly demand function for x units of a product sold by only one firm is p 600-r dollars, and…

A:

Q: A Compony determines that the demand function for a prodnet can be modeled by p= 220-0.2x, where x…

A: Let's find.

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 45 ft. If the…

A:

Q: A firm has an average cost function A(q)=125q+q216−4. where q is the firm′s output.   Determine…

A: Note: As per Bartleby guidelines, for more than 3 questions asked, only 3 have to be answered.…

Q: A company has started selling a new type of s tphone at the price of $110-0.05x where x is the…

A: Use the relation Profit = Revenue - Cost to write the equation. The revenue of x number of mobiles…

Q: ............. The daily cost per unit of producing a product by the Ace Company is 25 + 0.5x dollars…

A: NOTE- As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: A school is building a 1 km race track. The school wants the track to be as big as possible. What…

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Q: 6-x 4. A rectangular page is bounded by the x – axes, the y – axes, and the line y = What length and…

A:

Q: a) How many lines of code per year make costs of the two options equal? b) If programming needs are…

A: in house development costs are modeled by the equation: c = 35,000 + 1.75 * x c is the cost x is the…

Q: A leading firm requires a software for its internal use. The firm wants to evaluate whether it is…

A: Let the x be the lines of code developed The inhouse costs include the overhead costs $35000.…

Q: A company produces chairs for the local market. The company found that the average cost function and…

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Q: Consider an isosceles triangle (shown in blue) whose bottom base is 10 units long. A rectangle…

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Q: You just purchased a rectangular waterfront lot along a river’s edge. The area of the lot is 60,000…

A: Given Area of the lot is 60,000 square feet Cost of fencing along length $25per foot and along two…

Q: The demand function for an entrepreneur's product is given by p = q² - 5q + 119970 and the average…

A: As per the bartleby guidlines I will solve only 3 question if you want another question to solve…

Q: Module 4: Participation Activity #5 3x-1 Find the critical points of the function f (x) = x+6 Enter…

A: We find f'(x) using the quotient rule

Q: A factory sells a particular product at a price of (200.01x) in peso per unit. The variable cost per…

A: Concept: Maximum value: To find the maximum value of a function using first and second derivatives,…

Q: A hotel rents 240 rooms at a rate of $40 per day. Fo Find the room rate that maximizes daily…

A: Given that: Number of rooms=240Rent =$40 per day

Q: property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The fencing…

A: Let the length of the side along the road be x. Let the length of the other side of the rectangle be…

Q: A firm has an average cost function A(q)=125q+q216−4. where q is the firm′s output. Determine the…

A: Given the average cost function, Aq=125q+q216-4 (1) To determine the level of output for average…

Q: A rectangular field having an area of 2700 m² in to the enclosed with a fence and an additional…

A:

Q: A utilities company wants to deliver gas from a source S to plant P located across a straight river…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The demand function for a product is modeled by p(x) = 100e-0.00001x where p is the price per unit…

A:

Q: A rectangular storage container with an open top has a volume of 10m³. The length of its base is…

A: width = w=x length = l=2x width = h=y

Q: Technology is now promising to bring light, fast, and beautiful wheelchairs to millions of people…

A: Given: Fixed cost for producing wheel chairs= $ 500,000 cost $400 to produce each wheelchair Each…

Q: An open box with a square base is to have a volume of 20 ft3. (a) Find a function that models the…

A: Let x be the side of the square base and y be the height of the box.a) The function A(x) is…

Q: A company has started selling a new type of smartphone at the price of $110-0.05x where x is the…

A: Given that: Selling price of each smartpohne=$110-0.05xCost of parts for each smartphone =$ 50Labor…

Q: Total Cost is given by C(x)=3x^2+20x +4800. Find the x value that minimizes average Cost.   b. How…

A: Given informationTotal cost is given as

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.