Find the number of units that must be sold to break even.

Q: The cost function of a company is C (x) = vx + 248, and the selling price is 4 Rials per unit. Find…

A: The break-even point is achieved when the total revenue is equal to the total cost.  A polynomial of…

Q: The monthly output of a Spanish light bulb factory is P = 2L K2 (in millions), where L is the cost…

A:

Q: The cost per unit of producing a product is 40+5 dollars, where x represents the number of units…

A: Consider the provided cost for 1 unit of the product, 40 + 5x dollars. For x units of the product,…

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed…

A: We are given marginal cost

Q: for a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue…

A:

Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

A:

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

A: Formula for revenue =(price per unit)×(number of units) Profit=revenue-total cost. To solve the…

Q: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

Q: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: Find the average cost function if cost and revenue are given by C(x)= 186 + 7.3x and R(X)= 7x-0.08x

A:

Q: The total cost function is given by C(x)=.055x2+5x+600. Find the number of units,x, that must be…

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: The cost per unit of producing a product is 380 + 0.2x dollars, where x represents the number of…

A: Given: The cost per unit of producing a product is 380+0.2x, where x represents the number of units…

Q: A company that produces cell phones has a cost function of C = 11x – 84x + 21994, where C is the…

A: Given: The cost function C=11x2-84x+21994, where C is the cost in dollars and x is the number of…

Q: A cell phone factory has a cost of production  C(x) = 175x + 30,000  and a revenue function  R(x)…

A:

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Profit = Revenue - Cost  P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600

Q: The cost per unit of producing a product is 200 + 0.2x dollars, where x represents the number of…

A: Find the total cost.

Q: A company that produces cell phones has a cost function of C = x² - 1200x+36,400, where C is cost in…

A: Derivate the cost function and equate it to zero to find the exact number of cell phones. Then again…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given cost function C and revenue function R is

Q: For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue…

A:

Q: if in monopoly market the demand for product is p=1600-x and the revenue is R=px, where x is the…

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: A firm can produce 100 units per week. If its total cost function is C = 200 + 1400xdollars and its…

A: In this question given that c(x) = 200 + 1400x. And R(x) = 1500x - x2 . And we find maximum profit.…

Q: The total cost of producing a type of car is given by C(x) = 12000 – 10x + 0.05x², where x is the…

A: We need to find x where C(x) is minimum.

Q: For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue…

A: It is given that c(x)=50x+150 and R(x)=-0.5(x-110)2+6050.

Q: A manufacturer sells magnetic phone mounts for $24. The monthly fixed costs for the company are…

A: The monthly fixed costs for the company are $31,000, and the variable cost for producing each phone…

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…

A: topic - application of derivatives

Q: Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the…

A:

Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

A:

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: A firm sales product for $80 per unit. Raw material costs are $12.50 per unit, labor costs are…

A: Use the following formulae, to obtain the solution.  Cost function, Cq=Fixed Cost+qVariable…

Q: A company that produces cell phones has a cost function of C = 26x – 593x + 22097, where C is the…

A: Given: Here, 'C' is the cost and 'x' ins the number of cellphone produce. The condition for minimum…

Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is…

A: The cost function per chocolate bunnies is 0.60 + 0.005x in dollars and x be the number of item…

Q: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

A:

Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: The financial analysis department of a software design company determined that the cost of producing…

A: Given: C(x)=5000+3x p=23-x500 R(x)=px=23x-x2500

Q: While comparing the sales of different brands of cement of the same quality, it is found that the…

A: We have to find the optimum values of X1 and X2.

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: The annual fixed costs for a plant are $100,000, and the variable costs are $140,000 at 70%…

A: Given: Fixed cost = $100,000            Variable cost = $140,000             Net sales = $280,000

Q: The weekly revenue from the production and sale of x units of salt is given by R(x)=54x−x^2 thousand…

A:

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

A:

Q: The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars)…

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 100e01z…

A: Consider the provided question,

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the…

A: Total investment = x+y Given that the financier plans to invest up to $500,000 in two projects. So,…

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.