Consumers will demand 1005 items at a price of $2.25/item. When the price per item increases to $3, the number of items demanded will decrease by 75. Find the linear demand function, p(x), for this item. Enter your answer in slope-intercept form, using exact numbers. p(x) =||

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −2p…

A: Given that the demand function is: q = −2p + 200So the revenue function is:R(q)=pq=p(−2p + 200)=−2p2…

Q: An artist is planning to sell signed prints of her latest work. If 40 prints are offered for sale,…

A: Consider, Revenue in terms of prints produced 'x'   R(x) = x(600 - 5(x-40)) R(x) = 600x - 5x(x-40)…

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A:

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = -6p…

A: q=-6p+600

Q: use marginal cost to approximate the cost of producing the 21st food processor.…

A: Given:

Q: Write a formula for a linear function f whose graph satisfies the condition slope -2/3 and y…

A: Given that the slope(m) of the linear function is -2/3 and the y-intercept is (0, 1/5) which means…

Q: The demand equation for a certain commodity is p = 1/12x2 - 10x + 300, 0 … x … 60. Find the value of…

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

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: To find the price that maximizes the profit.

Q: Suppose you're making hand-carved birdhouses to sell in an online store. The price function for how…

A:

Q: If ff is a linear function, with (9)=1 and f(5)=8, find an equation for the function in…

A: Given:         f9=1         f5=8 Since it is given that f(x) is linear then y=mx+bis a form of the…

Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $29. Find a…

A: the solution is given below

Q: Suppose that for a certain company, C(x) = 15x + 2200 represents the total cost function, and R(x) =…

A:

Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: Find the consumer and producer surpluses by using the demand and supply functions, wherep is the…

A: The demand function is p=1340-23x and supply function p=44x

Q: If f(x) = 3 a linear function? If so, what are the slope and the  change of rate?

A: We have to find the slope and change of rate for the given linear function: fx=3 We know the format…

Q: the marginal profit function for a companyy is  MP(x) = -30x + 920 and P(8) = 6500 What is the…

A:

Q: Graph the linear function f(x) = -2.

A: Graph the linear function f(x) = -2.

Q: A baseball team plays in he stadium that holds 56000 spectators. With the ticket price at $12 the…

A:

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −8p…

A: revenue function is R=pq

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: Please refer to the image below.

Q: If the demand function of a good is P =radical(1000 − 4Q) find the value of Q which maximises total…

A:

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

Q: Suppose the demand for a certain item is given by D(p)=-2p2-5p+900, where p represents the price of…

A:

Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: It is given that the required linear function is perpendicular to thegiven equation x+3y-6=0and…

Q: The graph of a linear function f is shown. ldentify the slope. Ay 5- A. -4- О В. 3 -3- 2- Oc. O D.…

A:

Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: Suppose the demand for a certain item is given by D(p) = -3p2 - 5p + 700, where p represents the…

A: (a) Differentiate the demand function with respect to price p.

Q: find the linear function with the following properties.    f(0)=10  Slope of f = -5/4

A: Here we have to find the linear function with the following properties.  f(0)=10  Slope of f = -54

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) =…

A: Answer: The solution is given below:

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: Find the values of p where demand is elastic. x = 324 — 2р

A:

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

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

A: Given an equation in terms of x,

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

A:

Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

A:

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and…

A: Solution

Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

Q: How do I solve this?

A: We first calculate the marginal price for the given week.

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

A: Given- Demand equation 4p3x2=33,600 To determine- the rate at which sales are changing at a time…

Q: An artist is planning to sell signed prints of her latest work. If 50 prints are offered for sale,…

A: Given that       An artist is planning to sell signed prints of her latest work. If 50 prints are…

Q: BMX company makes a device which has a linear total revenue curve given by  TR = 10x and a total…

A: Given that: BMX company makes a device which has a linear total revenue curve given by  TR = 10x and…

Q: Use the price-demand function below, to answer parts (A), (B), and (C). p(x)=85-3x 1 ≤x≤25 (A) What…

A: Given data÷

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

A:

Q: find the consumer and producer surpluses by using the demand and supply functions where p is the…

A:

Q: The demand for a particular item is given by the function D(x)=1500-3X^2. find the consumers surplus…

A: Given equilibrium price = 300 and demand function.

Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: The required equation is y = mx + c If two lines are perpendicular then slope of two lines…

Q: A producer will not supply any items when the price is $535 or lower, but when the price per item is…

A: Given that - A producer will not supply any items when the price is $535 or lower, but when the…

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.