The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and supply = 80x − 50, where x is the price in dollars. When the breath mint market is in equilibrium, how many breath mints are bought and sold?

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…

Q: The average reading score on certain tests is given by y=0.153x+255.38 where x is the number of…

A: Solution:-     Given,            y=0.153x+255.38    where,           X= No. fo year past 1970…

Q: The weekly demand equation is given by where x is the number of thousands of units demanded weekly…

A: Concept: The rate represents the derivative with respect to t Also, 1000cent is equal to $1.60 The…

Q: The management of Titan Tire Company has determined that the weekly demand and supply functions for…

A: Givendemand function p = 144-x2supply function P = 48+12x2

Q: Darlus has been on a road trip for a few days. On the morning of day 5, he starts driving, and after…

A: Given that - Darius has been on a road trip for a few days. On the morning of day 5, he starts…

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

A: Here we are using a slope and point intercept form. p for price q for quantity The demand function…

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: Stuffco Industries makes model airplanes and wants to know their average cost and revenue at a…

A: Definition used-             Average cost -                          C-(x)=C(x)x           Average…

Q: A company pays $24 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A:

Q: Stuffco Industries makes model airplanes and wants to know their average cost and revenue at a…

A:

Q: A firm can produce only 3000 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: The number of unique monthly visitors in millions to Facebook can be approximated by V(x) = 16x2 +…

A:

Q: The manager of a store determines that the price p (in pesos) for a dress is changing at a rate of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

A:

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: The demand function for a tablet is given by the model where p = 200 – 16x2 is measured in dollars…

A: Given- The demand function for a tablet is given by the model where p = 200 - 16x2 is measured in…

Q: The demand function for a tablet is given by the model p = 200 – 16x2 where p is measured in dollars…

A:

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: A manufacturing company found that the demand for its product varies inversely as the price of the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Where x represents the quantity demanded in units of a thousand and p the unit price in dollars,…

A:

Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

A:

Q: ose the percent of males who enrolled in college within 12 months of high school graduation is given…

A: Given: y=-0.126x+55.72 y=0.73x+39.7

Q: The equations of two functions are y = -21x + 9 and y = -24x + 8. Which function is changing more…

A: y = - 21x + 9 So, dy/dx = - 21

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 company pays $30 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A: Payment for per hour = $ 30 Total hours = 8

Q: uppose a stereo receiver manufacturer has the total cost function C(x) = 210x + 3300 and the total…

A:

Q: The demand function for a tablet is given by the model where p=200-16x^2  is measured in dollars per…

A: Demand function in above question is written wrong. Values of p should be positive but in your case,…

Q: A company manufactures and sells x pieces of a certain product per month. The monthly cost (in…

A: Given Cx=120000+100xp=300-x15 where 0≤x≤4000

Q: At a unit price of $350, the quantity demanded of a certain commodity is 79 pounds. If the unit…

A: Coordinates are (79, 350) and (37, 720)  Then we use two point formula to find the line

Q: For the fast- food restaurant, the revenue function R(x)=60000x-x^2/20000 and cost function…

A: Given that

Q: Derive the number of tablets that the company could sell to make the same amount of profit

A:

Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

A:

Q: Choose two choices whose equation shows a nonlinear function. A y = 3x - 7 By = 2x + 1 D y = x + 3 E…

A: We have to choose two choices whose equation shows a non-linear function from the given options: 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: At a unit price of $660, the quantity demanded of a certain commodity is 76 pounds. If the unit…

A: Demand equation can be given as y = mx + c.

Q: The weekly cost of producing x electric drills is given by the function C(x)=2400+ 28x+0.25x².

A: Note : As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

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: A company pays $20 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A: Given that A company pays $20 per hour for up to 8 hours of work. It is required to find the…

Q: A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Given A firm can produce only 1000 units per month. Cost is Cx=500+200x Revenue is Rx=450x-1100x2

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: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel…

A:

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: A company manufactures and sells x digital cameras per week. The weekly demand equation is p = 400 -…

A: Given that, p=400-0.x and C(x)=2000+160x Equation of the Profit Function:   P(x)=x(p)-C(x)…

Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

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

A:

Q: Suppose the manufacturer of staple machines has found that, when the unit price is $x the revenue y…

A: If a×b=0, using the zero-factor property, it can be written that a=0 or b=0. If -p>0, then…

Q: Why is it necessary to change the value of some variables?

A: Variables are symbolic names. This means variables "stands in" for any possible values.

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.