The cost ($C) of a snow globe is made up of two parts. The first part varies directly as the square of its radius (r cm), and the second part varies directly as the cube of its radius. The cost of a snow globe of radius 3 cm is $27, while the cost of a snow globe of radius 5 cm is $95. (a) Express C in terms ofr. Explaie (b) Terry sells 200 snow globes of radius 6 cm at $180 each. Can he make a total profit of more than $5700? Explain your answer.

Q: Generic Corp, a manufacturer of doodads, has a daily mariginal cost function of C'=…

A:

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Q: Crickets and Temperature Biologists have observed that thechirping rate of crickets of a certain…

A: Given :           A cricket produces 120 chirps per minute at 700 F and 168 chirps per minute at…

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A: Required:

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A: The calculation are as follows

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A: We have, demand function given as px=112x2-10x+300 We know that, If x units of a product are sold at…

Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Area of rectangular place = 280 square feet.

Q: Total cost is given by the equation TC = aQ3 – b Q2 + c Q + d                   Find variable…

A: TC = aQ3 - bQ2 + cQ + d We have to find variable cost,marginal cost and average cost.

Q: Suppose the price-demand equation of an item is p=38.66-x where x is the quantity and p is the…

A:

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

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A: Given: Barbara "Barb" Wire needs to fence off a rectangular enclosure of 7200 feet for her horses.…

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: A manufacturer sells belts for $14 per unit. The fixed costs are $1500 per month, and the variable…

A: a)  selling price of belts =$14 per unit Fixed cost =$1500 per month variable cost =$9 per unit

Q: Find C'(x) and C''(x)

A:

Q: 4. The pollution level in the center of a city at 4 am is 22 parts per million and it grows in…

A: 4) (a)Pollution level at 4am = 22 parts per million It grows in linear fashion at 19 parts per…

Q: An electric power plant uses solid waste for fuel in the production of electricity. The cost C in…

A:

Q: Amy is comparing two rate plans for cell phones. Plan A charges $0.15 per minute with no monthly…

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A:

Q: A company operates two plants which manufacture the same item and whose total cost functions are C =…

A: We have to find how much should each plant produce in order to maximize the company's profit.

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A: (A) The pollution level in the center of a city at 4am is 22 parts per million. It grows in linear…

Q: A manufacturer sells belts for $13 per unit. The fixed costs are $1800 per month, and the variable…

A: (a).  Let x be the number of units sold.   R(x)= 13x C(x)= 10x+ 1800

Q: 1. The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per…

A: As per Bartleby's answering policy, we can answer only one question. So kindly post the remaining…

Q: demand for an electric fan is related to its selling price P (in dollars) by the equation…

A: To Find :   selling price that will maximize the revenue.

Q: A hiker is returning to a campsite that is 2 miles east and 7 miles south from their…

A: The hiker is returning to a campsite that is 2 miles east and 7 miles south from their current…

Q: A plant can manufacture 50 golf culbs per day at a total daily cost of $5413 and 60 golf culbs per…

A: When the daily cost is $5413 i.e., C1 = $5413 then, the number of golf clubs that can be…

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Q: p = -x2 - 2x + 86 and p = 8x + 11 equilibrium quantity thousand units equilibrium price dollars

A:

Q: 4-mile cab ride costs $26. A 9-mile cab ride costs $51. find the rate of change (cost per mile) for…

A: The solution is given below

Q: The price-demand equation for hamburgers at Yaster's Burgers is x+ 423 p = 2,934, where p is the…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is

Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's…

A: Given that, the demand equation is p=-0.00044x+7, 0≤x≤12,000 and the cost function is…

Q: farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. She…

A: A farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. Let x…

Q: The monthly cost (in dollars) of water use is a linear funclion of the amount of water used (in…

A: The cost of using 12 HCF of water is $39.02 and the cost of using 45 HCF of water is $96.77 That is,…

Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides…

A:

Q: A firmer needs to protect his land of area 14400 square feet. He wants to use two types of fencing…

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Q: The point at which a company's profits equal zero is called the company's break-even point. Let R…

A:

Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: 2sim x-1 -y = COST+2

A:

Q: You decide to purchase a brand new boat for $19,000. You sell it 8 years later for its worth $7,500.…

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Q: Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y…

A:

Q: The price-demand equation for home-delivered large pizza is p = 38.2 – 0.002x where x is the number…

A: Given:             Price-Demand equation                                p=38.2-0.002x where  p =…

Q: The total cost function for a product is  C = 3x2 + 59x + 243.  How many units must be produced to…

A:

Q: Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y…

A: Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y…

Q: Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for…

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Q: fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Rectangular area=280 square feet   Let the length of rectangle=x   Let the width of rectangle…

Q: The demand equation for a French press (a type of coffee maker) is given by P = 0.5Q2 - 35Q + 210,…

A:

Q: An electronics company is planning to manufacture a new line of high-end noise reduction ear buds.…

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Q: 3. Give the general form of the equation of the line whose x-intercept is 6 and whose y-intercept is…

A: It is given that x- intercept is 6, that is the point is 6,0 and y- intercept is 4, that is the…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.