A farmer plans to fence a rectangle pasture next to a river. The pasture must contain 114242 square feet. No fencing is needed along the river. What demensions will require the least amount of fencing?  objective function in one variable: dimensions: total amount of fencing

Q: A transportation company sells 2000 bus tickets per day when the price is $10 per ticket. They…

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Q: A chain saw requires 5 hours of assembly and a wood chipper 8 hours. A maximum of 80 hours of…

A: Let x be chain saw assembled And y be Wood chipper assembled So Total time taken to assemble = 5x +…

Q: What is the minimum Katie can list the house to accommodate both of these requirements?

A: We want to find minimum amount that can accommodate both requirements.

Q: You need to enclose a rectangular area of 150 square feet with a fence. One side of the fence faces…

A: given  2.) the rectangular area =150 square feet one side fence cost =$12 per foot other 3 side…

Q: If the profit function for a product is P(x) = 2100x + 10x2 – x3 - 15,000 dollars, selling how many…

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Q: Discuss the possibilities for the number of times the graphs of two different quadratic functions…

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Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Question- A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of…

Q: square pyramid in Egypt has an amount of its base equal to 12,000 sq. meters and its altitude is…

A: Note : Space enclosed for any object is given by the volume of that object.   Hence ,  Amount of…

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 60 bushels of fruit. She…

A: Given: Number of acre 80 trees    Yield per tree 60 bushels Reduced by 2

Q: A company finds that it can make a profit of P dollars each month by selling x patterns, according…

A: Given,

Q: A chain saw requires 5hours of assembly and a wood chipper 8hours.A maximum of 80 hours of assembly…

A:

Q: A company has a monthly advertising budget of $40,000. It is estimated that if x dollars are spent…

A:

Q: A chain saw requires 5 hours of assembly and a wood chipper 3 hours. A maximum of 30 hours of…

A:

Q: SENSITIVITY ANALYSIS A tailor has the following materials available: 18 sqm cotton, 20 sqm silk, 5…

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Q: Flo sets a goal of walking 12000 total steps per day flows normal routine involves walking 6,000…

A: Goal of Walking=12000 steps Normal Routine steps=6000

Q: Determine the break-even quantities (Minimum and Maximum Quantities). R(x)= -2x2+20x, C(x)= 4x-40

A: Break even occurs when C(x)=R(x)

Q: If the profit function for a product is P(x) = 3500x + 40x² – x³ – 50,000 dollars, selling how many…

A: To find the value of x and maximum profit

Q: A company's profit when it sells x thousand items is predicted to be P(x) = – 2x2 + 880x – 15000. a)…

A: function P(x)=-2x2+880x-15000 is given, Where in begining No items will be Sold.

Q: If the total cost of producingxitems is given by the expressionC(x) = 500 + 90x and the total…

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Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Fixed for her cell phone plan=$66cost of per gigabyte or part of a gigabyte=$5Her total budget to…

Q: (a) How much money are you going to have on your account in 12 months from today. (b) İn how many…

A: Given: The amount which is already that I had in the bank account =10 pounds Monthly deposit =40…

Q: The profit for a product can be described by the function ​P(x)=232x−5000−x2 ​dollars, where x is…

A: Given profit function ,        Px=232x-5000-x2

Q: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

A: The revenue function, R(x) is calculated using the formula, R(x)=xp(x), where, p(x) is the cost…

Q: A lumber yard has fixed costs of $2,943.10 per day and variable costs of $0.92 per board-foot…

A: The fixed cost is $2943.10 per day. The variable cost is $0.92 per board foot produced. Lumber sells…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 25 bushels of fruit. She…

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Q: Video Productions produces DVDs selling for $20 per unit. Fixed costs are $40,000 and the…

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Q: the profit function for a product is P(x) = 1800x + 75x2 − x3 − 54,000 dollars, selling how many…

A: GivenP(x) = 1800x + 75x2 - x3 - 54,000To find number of items that miximize the profit

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 55 bushels of fruit. She…

A: Given no of tree and yield so find the total harvest equation then for maximum harvest equal its…

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

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Q: Ramon wants to fence in a rectangular portion of his back yard against the back of his garage for a…

A: Let the dimensions of the rectangular portion be x feet by y feet. Assume that he decides to fence…

Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

A:

Q: Flo sets a goal of walking 12,000 total steps per day flows normal routine involves walking 6,000…

A: This question is related to algebra, we will solve it using given information.

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 30 bushels of fruit. She…

A: see below the calculation

Q: If 100x units of a particular commodity are demanded when p dollars is the price per unit, x^2 + p^2…

A: Consider the provided information, Suppose that the x is number of units and p is the price then the…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 40 bushels of fruit. She…

A: Here we are to determine the number of trees for which the harvest is maximum. For this we have to…

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

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Q: The cost in USD $ of purchasing x number of microchips plus shipping factory direct from Taiwan to…

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Q: A phone company charges P39 for the first 10 minutes of an international long distance phone call…

A:

Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

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Q: A car rental agency rents 210 cars per day at a rate of 32 dollars per day. For each 1 dollar…

A: Given query is to find the maximum possible rate for maximum profit.

Q: The number of mp3 players a company sells per month can be modeled by −2.45p + 490. What price p of…

A:

Q: the following maxima and minima problems: Find the dimensions of the rectangle of maximum area that…

A: Area ; ∆of rectangle=bhBy symmetry base of triangle is of length b+2tSince b+2t=1x.t=12-b2-1In…

Q: In the equation: Test Score = 607.3 + 3.85Income – 0.04231ncome² %3D Given the level of income, the…

A: Given Test score =607.3+3.85Income-0.0423Income^2 is an inverted parabola and vertex is the maximum…

Q: The profit for a product is given by P = 1600 – 100x + x² , where x is the number of units produced…

A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx<0 till   x = 50⇒x =…

Q: A chain saw requires 5 hours of assembly and a wood chipper 2 hours. A maximum of 30 hours of…

A: Let the x chai saw and y wood chipper is assemble. Since chain saw takes 5 hrs to assemble and wood…

Q: A Chiyoko wants to fence off a section of her backyard to be an exercise space for her dogs, as…

A: Perimeter of a section indicated its boundary. Perimeter of a section is found by calculating the…

Q: Write a real world problem that could be represented by the equality x is greater than or equal to 6

A: Example of real world problem :- Let a company who gave job to the persons who has previously an…

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 80 bushels of fruit. She…

A: We will use quadratic equations formulae to find solution to the problem .

Q: A farmer finds that if she plants 45 trees per acre, each tree will yield 75 bushels of fruit. She…

A: