Find the marginal revenue expression of Q, when the demand function is the following: a) P = 50 – 5Q1 b) P = J100 – 2Q1 c) P = 125 – 5Q1 – Q2 – 0.05Y %3D - - -
Q: Assume the profit-maximizing price is $11 per gift box, and then answer the following question a.…
A: In economics, profit maximization is the short run or long run process by which a firm may determine…
Q: The price function is given as:- P = 20Q - 3 Find the total revenue function
A: # We can calculate the total revenue function as:- TR = P * Q
Q: The average revenue function for a commodity is p = 50 – 4q. Find edp when: demand = 5 units ;…
A: Given Average revenue function: p = 50 - 4q.
Q: Demand function = P = 24 - 6Ln Q A. Find total revenue function B. Find total revenue maximum C.…
A: Total revenue function conveys amount of money earnings from the sale of a given unit of seller's…
Q: Consider a market with the following inverse demand function, p = 140 - 3Q and constant marginal…
A: Here we calculate all the following terms by using the given demand function and marginal cost so…
Q: The demand and total profit function, P(x) for rooms in a hotel are given as follows. 3x = 600 - P…
A: Marginal cost is the additional cost incurred by producing an additional unit of output.
Q: A small business assumes that the demand function for one of its new products can be modeled by p =…
A: Demand refers to the want of a person for something to have and the ability to pay and is willing to…
Q: B) Find the revenue function and marginal revenue for a demand function of p= 2000 – 4x Find the…
A: Demand Function: A demand function shows the relationship between the quantity demanded and the…
Q: The individual demand for a slice of pizza at Sam's Pizza is given by QD = 6 – P. Assume the…
A: Sam's pizza profit will calculated by reducing the revenue from the cost so here we calculate the…
Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…
A: Given Marginal Revenue function is R'(x) = 0.06x2 - 0.09x + 186 Integrate both side C is…
Q: Given the demand function. P=16?−0.02? • Determine the quantity and price at which total revenue…
A: in order to get total revenue maximizing price and quantity we take the derivative of the total…
Q: Bavarian Crystal Works designs and produces crystal wine decanters for export to international…
A: Answer: Given, Demand function: P=1,000-0.0025Q Fixed cost = $1,000,000 Variable cost = $200 per…
Q: erse demand for the firm's product is given by P= 50 -0.5Q in the peak period. If the price ticity…
A: A good's price elasticity of demand (PED) is a proportion of how delicate the quantity requested is…
Q: Consider two internet service providers: ISP West and ISP East, offering internet access to a small…
A: * SOLUTION :- (10) Given that , The price elasticity of 1SP west = -1.25 The price elasticity…
Q: Find the marginal revenue expression of Q1 when the demand function is the following: а) Р%3D 50 —…
A: a) P = 50- 5Q1b) P = 100 - 2Q1C) P = 125 - 5Q1 - Q2 - 0.05Y
Q: Suppose a producer can manufacture her smartphones at a constant marginal cost of $300. She…
A: According to the Rule of thumb for pricing with an "incremental margin percentage" Incremental…
Q: Suppose that q = D(p) = 800 - 5p is the demand function for a certain consumer item with p as %3D…
A: We are going to solve this question using one variable optimisation method.
Q: A firm demand function for its output is p=400-0.5q. To maximize sales revenue,what price should be…
A: Given the general form of Demand Function: P = f(Q), Then the general form of Inverse Demand…
Q: A specific Demand Function has been shown as: 44-4P-Q=0 Find out quantities at which Price and…
A: The inverse demand function (P) can be re written as follows. Inverse demand is 11-0.25Q.
Q: v Find a demand function q(p) such that, at a price per item of p $100 revenue will rise if the…
A: Increase In demand: The increase in demand refers to the process where the demand for commodity…
Q: Find the marginal revenue function for the demand function, Q=24-2P and evaluate at Q=10 .
A: The firms in the market are set up to examine their costs and revenue accordingly to make the firms…
Q: Given a firm’s market demand curve as: P = -2.5Q + 300, where Q is quantity of the firm’s output…
A: Total revenue is the revenue earned from sale of output. Marginal revenue is the additional revenue…
Q: A firm has the following total-cost and demand functions: C= Q²- 70? + 111Q + 50 Q= 100 – P Write…
A: Q = 100 - P P = 100 - Q C = 1/3 Q3 - 7Q2 + 111Q + 50 Total revenue = Price Q
Q: A firm faces the following linear inverse demand for its product P = 60 - 2Q. a)Find the firm's…
A: In a monopoly market, a firm optimizes the profit where the marginal revenue is equal to the…
Q: A firm sells its cars in Brazil and India. The demand function in Brazil is OR = (A/PB)², and Qi =…
A: We are going to calculate Price of Car in India and Brazil to answer this question.
Q: 1. You own a private parking lot with a capacity of 600 cars. The demand for parking at this lot is…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: A firm has the following total - cost and demand functions: C = 1/3 Q3 - 7Q2 + 111Q + 50 Q = 100 -…
A: Total cost = Fixed cost (which does not change with output in the short run) + Variable cost (which…
Q: A firm faces a demand function D(p), for which the revenue- maximizing price is $10. The demand…
A: A demand function is a list of prices and the corresponding quantities that individuals are willing…
Q: A specific Demand Function has been shown as: 44-4P-Q3D0 Find out quantities at which Price and…
A: Given data: The demand function is 44-4P-Q=0
Q: Given the demand function. P=16e -0.02Q • Determine the quantity and price at which total revenue…
A:
Q: The revenue function for a lawnmower shop is given by R(x)=x⋅p(x)R(x)=x⋅p(x) dollars where x is the…
A: Demand equation: p = 400 - 0.5x Revenue is multiplication of price and quantity demanded => TR =…
Q: Economic Total revenue from the sale of X is given by the equation R=100Q-2Q2. Calculate the value…
A: Answer: Given, Total revenue function: R=100Q-2Q2 Marginal revenue=20 Calculation:…
Q: If the total revenue function of a good is given by TR= 900Q- 3Q² Find Marginal Revenue at Q=20…
A: TR=900Q-3Q2MR=∂TR∂Q=900-6Q Now, we need to find MR at Q=20 Therefore, MR=900-6(20)MR=780 And TR =…
Q: If the demand function is p=100-4q, find the level of output at which total revenue is maximum and…
A: Answers is given:
Q: Consider the total revenue function, TR = 53 + 8Q + 6Q^2 Find the marginal revenue (MR) at Q= 6.
A: When a firm develops its total revenue function, it can use this function to compute other…
Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q + 890, what price…
A: Marginal revenue is the additional revenue earned after an additional unit is sold.
Q: BUSINESS: Automobile Sales An automobile dealer is selling cars at a price of $12,000. The demand…
A: Demand= Desire+ ability + willingness to purchase.
Q: Given MR-2- 6r, where AMR denotes marginal revenue, find the demand law
A:
Q: ie demand function for a company is p = 200 - 31 and the cost function is given by C(z) U+ 80z - z.…
A:
Q: A firm faces the following linear inverse demand for its product P = 60 - 2Q. a) Find the firm's…
A: Demand: P=60-2Q a)Total Revenue=Price*Quantity TR=P*Q TR=(60-2Q)Q TR=60Q-2Q^2 The total revenue…
Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…
A: The equation is given: R'(x) = 0.3x2 - 0.05x + 206
Q: For the demand function Q = 50 – P, the Q that maximizes Total Revenue is ______ and the Q where…
A: Q = 50 -P (calculate P from this demand funcation)P = 50 - Q Total Revenue(TR) = P x…
Q: The demand equation of a product is p=100/q+10. Find the marginal revenue when q=10.
A: Given that: Demand equation: p=100/q+10. Total revenue (TR) is the total sales of the firm based…
Q: please solve question 4- Prove that total revenue is maximized for a linear demand function, P = a -…
A:
Step by step
Solved in 4 steps with 3 images
- (Categories of Price Elasticity of Demand) For each of the following absolute values of price elasticity of demand, indicate whether demand is elastic, inelastic, perfectly elastic, perfectly inelastic, or unit elastic. In addition, determine what would happen to total revenue if a firm raised its price in each elasticity range identified. Absolut Value Elasticity Effect of Price Increase a b c dThe Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?The demand curve for product a is given as Q = 2000 - 20P. a. How many units will be sold at $10? b. At what price would 2,000 units be sold? 0 units? 1,500? c. Write equations for total revenue and marginal revenue (in terms of Q). d. What will be the total revenue at a price of $70? What will be the marginal revenue? e. What is the point elasticity at a price of $70? f. If price were to decrease to $60, what would total revenue, marginal revenue, and point elasticity be now? g. At what price would elasticity be unitary?
- Find Elasticy with the following demand function and at what values of q (if any) at which total revenue is maximized. P=600e-0.2qLet a demand function be given x=3*(p-55)^2 (a) Find the Revenue when the price per item is 25 dollars (b) Find the elasticity when the price per item is 25 dollars (c) If a price increase of 3 percent is necessary, find the new revenue bartlebyReid has determined that the daily demand for doughnuts at his favorite bakery is described by the following equation: Qd = 3,300 - 3000P where Qd is the daily quantity demanded in number of doughnuts and P is the price per doughnuts in dollars. a. What is the point price elasticity of demand at a price of $0.70? b. Assume the price is currently $0.70. What is the marginal revenue obtained by selling one additional doughnut? c. The marginal cost of producing an additional doughnut is $0.10. What price should the bakery establish in order to maximize profits?
- A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the market price per pound of coffee. World producers can harvest and shipcoffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S.distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market iscompetitive. Congress is considering a tariff on coffee imports of $2 per pound.i. If there…Consider the demand function given by: Q = 350 - 0.5P; Q is output demanded, and P is unit price. (a) Compute the price-elasticity of demand (Ep) when price is $200. (b) Interpret your result in (a). (c) Compute the value of the Marginal Revenue (MR) when price is $200. (d) Applying your answers in (a) and (c), verify that MR = P(1+1/Ep).The Johnson Robot Company’s marketing managers estimate that the demand curve for the company’s robots in 2008 is P = 3,000 - 40Q where P is the price of a robot and Q is the number sold per month. If the firm wants to maximize its dollar sales volume, what price should it charge? a. $3000 b. $1000 c. $1500 d. $750
- Show the relationship between the elasticity of demand for a firm’s product and its marginal revenue.The demand function for a particular product is given by D(x)=0.5x^2+3x+190‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√D(x)=0.5x^2+3x+190 dollars, where x is the number of units sold. What is the marginal revenue when 88 items are sold? Round your answer to 2 decimal places. D(x)=0.5x^2+3x+190‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾For problems 1 – 4: The Dolan Corporation, a maker of small engines, determines that in 2019 the demand curve for its product is P = 2,000 - 50Q where P is the price (in dollars) of an engine and Q is the number of engines sold per month. At what price, if any, will the demand for Dolan’s engines be of unitary elasticity? a. $500 b. $1000 c. $250 d. $750