Suppose that Internet domain names are sold at a price of $P per month for $2 < P < $100. The number of customers C who buy the domain names is a linear function of the price. Assume that 10,000 customers buy a domain name when the price is $2 per month, and 1000 customers buy when the price is $100 per month.(a) Determine the demand function C(P).(b) What is the slope of the graph of C(P)? Describe what the sloperepresents.

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Q: If, in a monopoly market, the demand function for a product is  p = 190 − 0.80x  and the revenue…

A: Given           Demand function , P = 190-0.8x           Rosenue function R = px           R = px…

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Q: If, in a monopoly market, the demand function for a product is  p = 170 − 0.80x  and the revenue…

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Q: If, in a monopoly market, the demand function for a product is p = 150 – 0.20x and the revenue…

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Q: For the demand equation, express the total revenue R as a function of the price p per item. q=-4p +…

A: Given  The demand equation q = - 4p + 400 Here 'p' is price per item.

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Q: price of a product is $42, and 56 units when the price is $23

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Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

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Q: The average ticket price for a concert at the opera house was $50. The average attendance was 4000.…

A: frame the problem on a simple graph . Then use the slope point formula to solve the problem.

Q: During the 1950s the wholesale price for chicken for a country fell from 25¢ per pound to 14¢ per…

A: x=price  y=number of pounds two points are x1,y1=(25,23.5) x2,y2=14,29 the slope of the line is…

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Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −4p…

A: topic - functions and derivatives

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A: Find the slope of function.

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Q: Use the demand function x- 275 (1- 3p/5p+1)  to find the rate of change in a demand x for price p=$4

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A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Suppose a certain outlet chain selling appliances has found that for one brand of home theater, the…

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Q: If the revenue function for a particular commodity is R(p) = −5 q(p) = -56p² + 62p, what is the…

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Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

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Q: When a wholesaler sold a product at $50 per unit, sales were 208 units per week. After a price…

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Q: |A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

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Q: er week. a) Find the demand function p(x)p(x), where xx is the number of

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Q: express the price p in terms of the demand x, and find the domain of this function  x=4,000- 40p

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Q: A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates…

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Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a…

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Q: Suppose that a sporting contest at Adelaide oval, which has capacity for 50000 spectators, draws an…

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Q: 5. The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

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Q: When a wholesaler sold a product at $40 per unit, sales were 270 units per week. After a price…

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Q: When the admission price for a baseball game was $66 per ticket, 36,000 tickets were sold. When the…

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Q: The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and…

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Q: When the admission price for a baseball game was $42 per ticket, 36,000 tickets were sold. When the…

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Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

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Q: 2. Sales figures show a company that priced pens at $1 each, sold 1,960 pens per week. When they…

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Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −4p…

A: topic - application of derivatives

Q: When the admission price for a baseball game was $6 per ticket, 48,000 tickets were sold. When the…

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Q: Assume the number of U.S. dial-up Internet households stood at 38.5 million at the beginning of 2004…

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Q: A manufacture has been selling 1500 television sets a week at $540 each. A market survey indicates…

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Q: Suppose that a cell phone plan that is offered at a price of P dollars per month attracts C…

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Q: If, in a monopoly market, the demand function for a product is p = 190 − 0.50x and the revenue…

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Q: Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an…

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Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A:

Q: The marketing department of a company estimates that the demand for a product is given by p = 100…

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: We will solve the problem

Q: If, in a monopoly market, the demand function for a product is  p = 130 − 0.10x  and the revenue…

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Q: The manufacturing laundry sinks has fixed costs if $100 per day but has total costs of $2,500 per…

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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.