Given cost and price (demand) functions C(q) = 110q + 45,900 and p(g) = - 2q + 900, What price must the company set in order to sell 55 items? The price must be $ (Round answer to nearest whole dollar amount.)

Q: The manager of a large apartment complex has found that the profit (in thousands of dollars) is…

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Q: C(x)=40x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050.

A: Given: Cost function  Revenue function Maximum capacity of production: 130 items

Q: A donut shop makes a profit of $2.40 on a dozen donuts and $0.55 per muffin. Write an objective…

A: Given,A donut shop makes a profit of $2.40 on a dozen donuts and $0.55 per muffin. Write an…

Q: The sales function for a product is given by S(x) = 119 + 23.1x² – 0.7x³, where x represents…

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Q: The net profit in dollars per day for a small business owner is given by the equation, f(x)=…

A: Given: -

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

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Q: If  P(x)= 8 + 9x − x^2 represents the profit in selling x thousand Boombotix speakers, how many…

A: Given       P(x) = 8+9x-x2          → (1)for maximize profit find p' (x) and put itsqual to…

Q: Given cost and price (demand) functions C(g) = 140q + 46,600 and p(g) = - 2.8q + 860, if the company…

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Q: Cost of the function for folding bicycles is given by C(x)=2050+590x+1x2 and the demand function…

A: We first find the revenue function using: R(x)=x×p(x)=1770x Given cost function is C(x)=…

Q: If P(x) = 1+ 5x – 2x represents the profit in selling z thousand Boombotix speakers, how many…

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Q: A manufacturer of tennis rackets finds that the total cost  (in dollars) of manufacturing x…

A: The total cost of manufacturing x  rackets/day is given by' cx=200+7x+0.0001x2 Each racket sold at a…

Q: The total costs for a company are given by C(x) = 4000 + 50x + x² and the total revenues are given…

A: Concept - Break-even point is a point at which revenue becomes equal to the cost.Given cost - C(x) =…

Q: Find the sales necessary to break even  (R = C)  when the cost C of producing x units is  C =…

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Q: The total costs for a company are given by C(x) = 2000 + x 2 and the total revenues are given by…

A: Given: The cost function Cx=2000+x2 and the revenue function is Rx=90x. Find the break-even points…

Q: A company that produces cell phones has a cost function of C(x) = x- 1200x + 36400, where C is the…

A: Given C(x)=x2-1200x+16400

Q: The profit function of a company is P(x) = -3000x² + 600x – 450, then the fixed cost of the company…

A: Clearly we can see that, Constant term in the expression of P(x) is (-450).

Q: The owner of an ice cream franchisemust pay the parent company $1000 per month plus 5% ofthe monthly…

A: Consider the provided information, The Fixed costs is 2600 per months for item +1000 pay the parent…

Q: The revenue for tractors at a price of p dollars per tractor is R(p)=−0.5p^2+1900p+ 1000.  What…

A: Given :  R(p) = - 0.5p2 + 1900p + 1000

Q: For a monopolist's product, the demand equation is p= 30 – 2q and the average-cost function is c = 2…

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Q: If the supply function in the Philippines is given by  "P = 140x + 12 600 What is the lowest cost…

A: P = 140x +12600 1. When  x=0, Price(P) = 140*0 +12600 =  12600 =  lowest cost   answer....   2. When…

Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

A: Given  cost function   C(x) =200+7x+0.0001 x2and demand   p(x) = 11-0.0004x

Q: The market research department of an electronics company has determined that the demand and cost…

A: Cost function is given by: C(x)=2250+5x Now, put x=300-5p C(x)=2250+5(300-5p)       =2250+1500-25p…

Q: A catering company estimates that, if it has x customers in a typical week, its expenses will be…

A: Given: C(x) = 550x + 6500  R(x) = 1200x (a) How much profit will the company earn in 1 week when it…

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

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Q: Given f(x) = 2x3 + 3x2 - 12x – 20, Find the relative extrema

A: Relative Extrema : It is defined as maxima and minima of a function in entire domain or within a…

Q: Suppose a ceiling fan manufacturer has the total cost function C(x)=50x+1280C(x)=50x+1280 and the…

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Q: (b) Show that ifr (x) = 6x and c (r) = x³ – 6x² +15x are your revenue and cost functions, then the…

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Q: The market research department of a company recommended to management that the company manufacture…

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Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

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Q: The net profit in dollars per day for a small business owner is given by the equation f (x) =…

A: Given function  f(x)=-0.1x^2+8x+1 where x=number of employees, f(x)=Profit function  f'(x)=-0.2x+8…

Q: The demand equation for a certain commodity is given by the following equation. 1 x² – 14x +588,…

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Q: A paper pulp company has discovered their cost and revenue functions for each day: C(x) = 2x? - 250x…

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Q: A laptop company has discovered their daily cost and revenue functions:  C (x) = 3x2 − 10x + 200…

A: The cost function is, C(x)=3x2−10x+200 The revenue function is, R(x)=−2x2+100x+50

Q: Given the cost and price functions C(q)-100q+49,000 and p(q)=-2.6q+870, if the company sets the…

A: Given

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

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Q: Here are the price-demand equation, x = 8, 000 – 20p, and the cost function, C (x) = 98,000 + 70x.…

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Q: Suppose a calculator manufacturer has the total-cost function C(x) = 36x + 7000 and the total…

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Q: Suppose the rate of change of the unit price p of video boards is 2700x p'(x) = - (x² + 77)3/2 where…

A: p'x=-2700xx2+7732 to find the supply function take integration  ∫p'x=-∫2700xx2+7732dx…

Q: The demand Equation of a product and the total of production are given by   p = 45-0.05x, C = 5x +…

A: Revenue= R= xp = x(45-0.05x)= 45x - 0.05x2 Cost=C=5x + 3000 So profit= P=R-C=45x - 0.05x2 - (5x +…

Q: The profit function of a company is P(x) = -3000x² + 600x - 450, then the fixed cost of the company…

A: Clearly constant term in the expression of P(x) is (-450).

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: An ice cream shop finds that the daily demand (in liters) for vanilla ice cream at $x per liter is…

A: If there is a question that has more than 1 question and questions other than the first has…

Q: Given cost and price (demand) functions C(g) = 130q + 47,400 and p(q) = - 2.3q + 890, What price…

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The demand equation for a manufacturer's product is: D = 210 - 0.3q where q is the number of units…

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

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Q: rge corporation with monopolistic control in the marketplace has its average daily costs, C = 600 +…

A: Cx=xCx=x600x+100x+x2=600+100x2+x3 x is the daily demand of the product Demand Function is given as…

Q: Given cost and price functions C(q)=120q+45,900 and p(q)=-2.3q+840, what price must the company set…

A: The given cost and price functions are as follows.

Q: A computer company determines that its profit equation (in millions of dollars) is given by P = x -…

A: given profit equation of company (in millions of dollars) p=x3-48x2+720x-1000 and 0≤x≤40 . we have…

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

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