Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500 when the price is $5.50 each but that the demand is 3,700 when the price is $5.26 each. Assuming that the demand function is linear, write its equation. Use p for price (in dollars) and q for quantity.

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: Suppose a certain outlet chain selling appliances has found that for one brand of stereo system, the…

A:

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

A: Given  Fixed cost : $35 Cost of 8 items to produce is $395

Q: A company that makes sweatshirts finds that the monthly demand is modeled by the equation qD = –8p +…

A: Sketch the graph: The correct interpretation of the slope of this demand function qD is: The…

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if…

A: NOTE: Refresh your page if you can't see any equations. . x=number of units rented y=price from the…

Q: Suppose that the supply function for honey is p=​S(q)=0.2q+2.2​, where p is the price in dollars…

A: Given supply function P=S(q)=0.2q+2.2 →         1    equilibrium prize=$4.40→            2    So…

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

A: Let,  C(x) is a linear function that models the cost of producing xchairs in one day. To find : The…

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 9600 – 6p- ...…

A:

Q: Suppose that a company that makes sweatshirts has a linear demand function of qD = –13p + 500 and a…

A:

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

A:

Q: A retail chain will buy 900 cordless phones if the price is $10 each and 400 if the price is $60.  A…

A: It is given that

Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

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

A: Given : Demand function  p=45−0.1x   Cost function C(x)=30x+500

Q: Assume that the linear cost and revenue models apply. An item costs $6 to make. If fixed costs are…

A:

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

A:

Q: For the demand equation below, x represents the quantity demanded in units of 1000 and p is the unit…

A: Given that      p = -0.3x+90  Here x represents the quantity demanded in units of 1000 and p is the…

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

A: Given the monthly demand is 180 when price is $800 and 240 when price is $700. Let p be price q be…

Q: suppose the total cost for a company to produce 150 washing machine is $46,500. the same company can…

A:

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per…

A:

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

A:

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

A: Consider the demand function x

Q: 4 C. B 10 20 30 40 Quantity Price

A: Given Graph        To find:- The slope (ms) and the supply function thru the given supply curve

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

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

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

A:

Q: Find the equilibrium point for the demand and supply functions D(p)= 108 – 11p and S(p)= 70+8p.

A: Dp=108-11p & Sp=70+8p

Q: A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: here given , A company is planning to manufacture snowboards. The fixed costs are $300 per day and…

Q: It is known that the demand function for a good is shown by the equation P = - 5Q + 110 and the…

A: Given that, the demand function is px=-5Q+110 and the production cost is Cx=100+10Q+5Q2. Obtain the…

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300…

A: SOLUTION-

Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the…

A: Given that the rent of the large appartment complex is 392 dollorsand taht will occupy 90 units and…

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: Given information: The data represents the values of the variables x = annual demand of treadmills,…

Q: demand

A:

Q: The manufacturer of color televisions can sell 1100 sets to his dealers at $350 each. If the price…

A:

Q: Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand…

A: Given: Supply: P = 2Q+20 Demand: P = 200-2Q2

Q: Assume that the linear cost and revenue models apply. An item costs $3 to make. If fixed costs are…

A: Revenue generated is the price which we get on selling an item . It consists of  (making cost +…

Q: A company that conducts bus tours found that when the price was $9.00 per person, the average number…

A: Here, $2 decrease in the price results in 500 increase in the number of customers.

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: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300…

A: Since the demand function is linear, it will be of the form y=mx+c⇒D(q)=mq+c where D(q) is the…

Q: Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500…

A:

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

A: Here we find linear function for demand.

Q: Given a price-demand function P(x)=100−15x, calculate the average revenue when x=5. Do not include…

A: We have been given a price demand function as P(x) = 100-5x and we are supposed to find average…

Q: A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: Given:-   A company is planning to manufacture snowboards. The fixed costs are $100 per day and…

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

A: From C(1OO) = 1,000,000 and C(500) = 100,000. we get two coordinates (100,1000000) and (500, 100000)…

Q: Suppose that the demand per week for a laptop computer can be modeled by p = 25000 – V200x + 800…

A: Given: Demand per week for a laptop computer can be modeled by: p=25000-200x+800…

Q: If the demand function for math anxiety pills is p = D(x) = -5x + 59 and the corresponding supply…

A: solve the following

Q: Assume that the linear cost model applies. If the total cost of producing 1600 items at $15 each is…

A: here we want linear relation  for 1600 item cost for each is $15 1600*15 = $24000 so extra is 24410…

Q: Suppose that the demand function is p=90-3x and the cost function is C(x)=150 + 24x. Find the value…

A: Revenue function = R= px

Q: A car rental agency rents 220 cars per day at a rate of 28 dollars per day. For each 1 dollar…

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 9600 – 6p2…

A:

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.