The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?
Q: In this problem, p is in dollars and x is the number of Suppose the demand function for a product is…
A: Given that, Demand function for a product is P = 9\ (x+1) Supply function is P = 1+0.2x
Q: If demand function is p = 160 - 0.0025x and Cost function is C = 15x + 0.0025x². Find the quantity…
A: The total cost incurred by a firm operating in a market includes fixed costs and variable costs.…
Q: A company producing cell phone cases uses either rubber (x) ) or plastic (x) with the following…
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: The cost function for flavored coffee at an upscale coffeehouse is given in dollars by C(x) = 3x +…
A: The break-even point is the sum of earnings required to fund a business's cumulative fixed and…
Q: Given the Equation: Q = K^.50OL^.50 If the function is F(25,49), What is the maximum quantity of…
A: Production means raw material is converted into finished goods. It means various inputs are used…
Q: A large company in the communication and publishing industry has quantified the relationship between…
A: Cost is the expenditure incurred by firms on the production of goods and services. Revenue is the…
Q: The profit function of a company is P(x) =x*-x³ + 3025 x², the output that maximizes the profit is…
A: A firm's main objective is always to maximize its profit. The firm maximizes its profit by producing…
Q: In a factory an article is produced whose production function is: z = 15 – 2x2 + 12x – 3y? + 6y for…
A: Production function is given as: z = 15 -2x2+ 12x-3y2+6yPrice of input x = 6Price of input y =…
Q: Use the functions given below to solve the problem. C(x) represents the cost, in dollars, of x units…
A: Given information, Cost function: C(x)= 72,000+43x Revenue function: R(x)=47x To find: the value…
Q: A small business woman has realized that for one of her products, if the price per unit is GH¢20 she…
A: (i) An expression that relates price with output is the demand function which the business woman…
Q: The cost of building an office complex, x floors high, in a prime location in Accra is made up of…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: The price for a product is given by p= 50,000 -0.2x, where x is the number of units sold, so the…
A: Total revenue is the overall revenue earned with the total output sold.
Q: Suppose a laptop manufacturer has the given total cost function and the given total revenue…
A: Here, total cost function and total revenue function are given as: C(x) = 200x + 8000 R(x) = 500x…
Q: A music store sells an average of 160 CDs per week at $24 each. The cost of producing x music CDs is…
A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: Marketing research has found that at a price of $179.95 per unit, sales would be 175,000 units each…
A: Marginal profits signify the profits earned by selling an incremental unit of the business unit's…
Q: . An electricity producer has a constant marginal cost of production equal to $40 per…
A: Hi! thanks for the question but as per the guidelines we answer up to three sub-parts at one time.…
Q: A commodity has a demand function modeled by p= 100-0.5x and the total cost function is C= 50x+37.5…
A: Answer: Introduction: Condition for maximum profit: Profit is maximum where marginal revenue is…
Q: A printer quotes a price of $7, 500 for printing 1,000 copies of a book and $15, 000 for printing…
A: Cost for printing 1500 Copies = Cost for Printing 2500 Copies - Cost for Printing 1000 Copies =…
Q: If the average cost function of a good is 13 AC = 2Q + 6 + 6 Find an expression for MC. If the…
A: MC, marginal cost is the additional cost incurred with an additional unit of output produced.
Q: The variable x represents the number of HDTVs manufactured and sold in a given month. The variable…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its…
A: Hi, thanks for the question. Since there is multiple subparts, I will answer for the first question.…
Q: . The monthly fixed cost of a company which produces basketball is RM 100 and the variable cost per…
A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…
Q: The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,328. If…
A:
Q: Given the input-output matrix below, find the output matrix if final demand changes to 500 for…
A: We are going to find the Leontief matrix and output matrix to answer this question.
Q: A firm has found from past experience that its profit in terms of number of unit X produces is given…
A: Profit a refers to the difference between total revenue and total cost. Profit per unit of product…
Q: Supply is said to be inelastic when the quantity supplied changes* more than the change in its…
A: At the marketplace, supply of a good or service can be elastic or inelastic, which depends upon…
Q: Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an…
A: Answer - "Thank you for submitting the questions. But, we are authorized to solve one question at a…
Q: The cost function of a transport company hauling goods by truck is C = 15q1.25 where C is the total…
A: In economics, a CF {"cost function"} is described as a function of an output quantity and P {prices}…
Q: Refer to the figure below to answer the questions. 1.) A corn producer's profit is RM200 and is…
A: The marginal revenue is the additional revenue earned from the sale of one more unit of good. Total…
Q: The daily cost to manufacture generic trinkets for gullible tourists is given by the cost function…
A: (Q) The daily cost to manufacture generic trinkets for gullible tourists is given by the cost…
Q: Ammongas´'s demand depends on many factors, but can be presented in simplified form as: P =…
A: Given Demand equation P=8,000,000-240,000Q ..........(1) Where P is the price and Q are…
Q: There are 100 consumers on the market for product X. The individual demand function is the same and…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: The demand function is x = ÷(25 – 2p) where, x is the number of units and p is the price Let the…
A: 1. Demand function is, x = 13×(25-2p) Therefore, Revenue = Price x Quantity = p×x = p×13(25-2p)…
Q: given the function c(x) = 100 + 8x + 0.1x^2 find the marginal profit At x = 50 if the price per unit…
A: given c(x) = 100 + 8x + 0.1x^2 x = 50 and price per unit (P)= 20
Q: A company produces three products which are interdependent. These are products A, B and C. The flow…
A: The technological coefficient matrix refers to the matrix of B. Matrix of B contains…
Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are…
A: Total cost refers to the sum of fixed cost and variable cost. Total Revenue refer to the total…
Q: orderd pair ?
A: The given values are as follows.
Q: Total revenue is in dollars and x is the number of units. Suppose that the total revenue function…
A: Given Total Revenue Function R(x) = 42x − 0.05x2
Q: Given the input-output matrix below, find the output matrix if final demand changes to 600 for…
A: The Leontief’s input-output model analyses how different industries of the economy are…
Q: Given the input-output matrix below, find the output matrix if final demand changes to 500 for…
A: Demand is the quantity of consumers who are willing and ready to buy products at various prices…
Q: If MC= 3x + 20 and MR = 44 – 5x where x is the number of units produced and sold, and the cost of…
A: MC(marginal cost) is the change in TC(total cost) when one more unit of the product is made.…
Q: The total revenue of a purely competitive firm from selling 6 units of output is $48. Based on this…
A: Units=6 Total Revenue=48
Q: The price-demand equation and the cost function for the production of table saws are given,…
A: Hey, Thank you for the question. According to our policy we can only answer up to 3 sub-parts per…
Q: The demand and supply for a whole pizza in Mr Hot’s Market are given by the equations, Qd = 6,300 –…
A: here given that, The demand and supply for a whole pizza in Mr. Hot’s Market are given by the…
Q: It has been determined that the cost of producing x units of a certain item is 8x + 365. The demand…
A: Revenue is the income earned by selling the product at given price level. Revenue function is the…
The
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- At a price of R 8 per item consumers will buy 1500 units. If the company increases the price by R1 per item, the number of items that the consumers will buy will decrease by 75. i) Does the function described represent a supply or demand curve? Find the formula of the function given that it is a linear function. ii) Find the price that will maximize the revenue.Suppose a certain outlet chain selling appliances has found that for one brand of home theater, the monthly demand is 350 when the price is $700. However, when the price is $660, the monthly demand is 450. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity. ___________________After an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.
- Ammongas´'s demand depends on many factors, but can be presented in simplified form as: P = 8,000,000 - 240,000 * Q, where “Q” are standard plants sold per. year. Make a graphic illustration of the P-function, where it applies that the price can not be negative and a negative number of plants can not be demanded. Then derive the TR function and the MR function mathematically.For a unit demand function p=24-8x where x is the number of units and p is the price in tk,finds tge sales function. If the average cost per unit is Tk,8 find a.The profit function, b.The number of units that maximize that profit function.It is known that the demand function for a good is shown by the equation P = - 5Q + 110 and the total cost of production is C = 100 + 10Q + 5Q². Calculate the maximum profit rate of sales, the amount of profit and the selling price per unit.
- A small company produces organic cookies. When the price is $6 per dozen, the average daily sales has been 72 dozen cookies. When the price was decreased to $3 per dozen, the average daily sales increased to 110 dozen cookies. Assume that daily cookie sales is linearly related to price per dozen. Each dozen cookies has a variable cost of 87 cents to make, plus additional daily fixed costs of $84. Find a function that models the daily profit in terms of the sales x in dozens of cookies.A company determines that the demand function for a product can be modeled by p=220-0.02x where x is the number of units produced per week. The fixed cost is $12,000 and the variable cost is $80/unit. Find the number of units that yields the maximum profit.Market research for a certain ice cream company indicates that if the price per cup of ice cream is P50.00, the demand will be 1200 cups, whereas if the price is increased to P60.00, the demand will be 1100 cups. Therefore, at a production level of 200 cups of ice cream, the revenue generated by the company would be $130 for each additional cup of ice cream produced. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (a) Find the value(s) of x at the break-even points. (b) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.
- Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)A manufacturer of a new patented product has found that he can sell 70 units a week to the customer if the price is $48. In error, the price was recently advertised at $78 and as a result only 40 units were sold in a week. The manufacturers fixed costs of production are $ 1710 a week and variable costs are $9 per unit. You are required to a) Show the equation of the demand function linking price (P) to quantity demanded (X) assuming it to be a straight line is P = 118-xSuppose the demand function for a product is given by the function: D ( q ) = − 0.02 q + 80 D ( q ) = - 0.02 q + 80 Use integration (or other appropriate methods) to find the following: (Do no rounding of results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at q = 4 , 000 q = 4 , 000 .) A) The total actual revenue for q = 3 , 350 q = 3 , 350 units: Answer 1: B) The total possible revenue (for all quantities and prices): Answer 2: C) The Consumer's surplus corresponding to q = 3 , 350 q = 3 , 350 units: Answer 3: D) The "Not Sold" value corresponding to q = 3 , 350 q = 3 , 350 units: Answer 4