Suppose the revenue function for the sale of a product is r(x)= -3x^2+30x and the cost function is c(x)=6x. Find: A) the quantity that will maximize profit B) the break even quantity

Q: The inverse demand function and cost function is given by P= 50-2Q and C = 10+2Q Calculate the total…

A: Demand function, P = 50 -2Q Cost function , C= 10 +2Q

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 41, find…

A: Marginal revenue(MR) is the change in the Total Revenue(TR) on account of the sale of an additional…

Q: The total revenue curve of a firm is R (q) = 40q - 12q2 and its average cost A(q) = 1/30q2 - 12.85q…

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Q: given by R(q)=−5q^2+800q , where R(q)is in dollars and qq is units sold. Find a numeric value for…

A: Marginal revenue is the additional revenue earned with an  extra unit sold.

Q: Given a cost function C(x) = x 2 +50x+200 and a demand curve p = 200 − 2x, find the number of units…

A: Profits are the excess of revenue receipts over the costs incurred in the production of activities.

Q: The cost function for a firm in perfect competition is given as C(Q) =Q³-8q²+5 . Find the profit…

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Q: The demand function for a firm is p = 320 – 3.2x, and the cost function is   C(x) = 100 + 80x –…

A: (i) Demand Function p = 320 - 3.2x Cost Function C(X) = 100 + 80x - 1.6x2 Profit = Revenue - Cost…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 183 + 0.3x and R(x) = 9x -…

A: Marginal profit function measures how much the profit changes when there is a unit change in the…

Q: Suppose a firm produced 2 goods x and y and must produce x + y = 42 and have a cost function of c =…

A: Total cost is the summation of total fixed cost and total variable cost. Total fixed cost is the…

Q: Mathematical Economics If fixed cost are 20, variable cost per unit are 2 and the demand function is…

A: here we calculate the profit , by reducing the cost from revenue , and by using the given…

Q: A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers…

A: When the price is $66.9, then the quantity sold is 680 items. When the price is $40.19 then the…

Q: Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function…

A: Profit maximising condition  where marginal cost is equal to marginal revenue   And Equilibrium…

Q: A company can sell x units of a product when the price is p = D(x) = 5.00 – 0.006x dollars. The…

A: Marginal profit is the profit earned by a firm after the production and sale of an additional unit.

Q: A firm’s objective is to Maximize Profits and Minimize Costs. Demand is Q = 600 – 3*P. The firm’s…

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Q: The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30q2 − 12.85q +…

A:

Q: Question: The price - demand equation and the cost function for the production of HDTV s are given…

A: Given x=9000-30pandx=15000+30xx=9000-30pp=900030-x30⇒P=300-x30We know that demand x and price…

Q: You are the manager of a firm that sells its product in a competitive market at a price of $60. Your…

A: Profit is the income earned by the company after deducting all the expenses from the total revenue.…

Q: The inverse demand for tea is given by P = 12 – 0.03Q, where Pis the price per a gram of tea and Qis…

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Q: f the total revenue and total cost of a business are given by the following functions. what is the…

A: Answer is given below

Q: A firm has the following demand and average total cost functions: Q = 30 − P ATC =7/Q− 6 +1/2Q…

A: The total revenue of a firm is the total payment it receives from the sale of goods and services.…

Q: The inverse demand for tea is given by P= 8 – 0.03Q, where Pis the price per a gram of tea and Q is…

A: Both shop have same cost structure and therefore their reactions function and the output are going…

Q: Suppose the (inverse) demand for a firm’s product is given by P = 10−2Q and the cost function is…

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Q: A commodity has a demand function modeled by  p = 106 − 0.5x  and a total cost function modeled by…

A: In a firm that wants to maximize its profits levels, it becomes vital to determine the levels of…

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: Which of these must be present before you, as an economic advisor, would recommend a new company…

A: Perfect Competition : A Perfectly competitive market is the one in which there are large number of…

Q: The figure shows graphs of the total cost function and the total revenue function for a commodity.…

A: The function that represents the total cost as being the sum of the variable costs and the fixed…

Q: The demand curve for Blivets has the formula P =h(q) = 12-4q Where q is measured in thousand of…

A: The revenue is the total amount of money which can be made from selling all the units of output. The…

Q: If an increase in output size results in reductions in average costs, this is known as:…

A: An increase in the level of production increases the size of the output. This leads to a fall in the…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 190 + 0.6x and R(x) = 7x -…

A: Answer to the question is as follows:

Q: Match each graph with the function it best represents-a demand function, a revenue function, a cost…

A: Graph a = Demand function, decreases, increases Graph b = Cost function, increase linearly Graph c =…

Q: The total revenue curve of a firm is R (q) = 40q - 12q2 and its average cost A(q) = 1/30q2 - 12.85q…

A: Total revenue, R (q) = 40q - 12q2  Average cost, A(q) = 1/30q2 - 12.85q +20 + 400/q

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: Suppose the long-run total cost function is C(q) = 4q². The cost-output elasticity is %3D equal to

A: Cost elasticity (also known as cost-output elasticity) evaluates the responsiveness of total cost…

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

A: The law of demand establishes the relationship between the price of the good and the quantity of…

Q: For a firm’s product, the demand function is p =72−0.04q and the average cost function is i. ¯ c =…

A: Answer: Given information: P (price) = 72 – 0.04q Where q is the quantity To find: Output at which…

Q: Suppose the cost function for a firm is given by C(q) = 200 + 5q. Then: (i) the fixed cost is (ii)…

A: If the cost function of a firm is given as: C(q): 200+5q One can identify other cost function as…

Q: The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30q2 − 12.85q +…

A: Solution - Given in the Question - Total Revenue curve of a firm R(q) =  40q -12q2…

Q: A firm operates two plants.  The total cost schedules for the respective plants are TC1 = 5*Q1 +…

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Q: A street musician bought a new fiddle for $850.00. Assume she breaks 1 string each hour and can buy…

A: Cost is a sum of fixed cost and variable cost. Fixed cost does not depend on hours worked on playing…

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: The total cost function is C(q) = q³ – 59q² + 315q + 200 and the revenue function is R(q) = 1000q –…

A: The total cost of production refers to the monetary value of inputs used by the firm in the…

Q: Suppose that a firm has a short-run cost function C(q) = q2 +1. Part a Find the short-run supply…

A: In a market, a firm’s cost function can provide information about different types of costs such as…

Q: computer retailing company specializes in the sale of jump drives to community college udents. The…

A: Given :  Demand Function : p=2x2+10x+1000 Average Cost Function : c¯=2x2+36x-1600-20x

Q: Let a linear cost function C(x) = 21.95 + 1400 and a linear revenue function R(x) = 20x. What is the…

A: The cost function is, C(x) = 21.95x+1400 The marginal cost (MC) is the differentiation of the cost…

Q: Demand function is D(p) = 65-p. There are unknown number of firms with a total cost function C(q)=…

A: The relationship between the quantity demanded for a commodity and its price is represented by the…

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: 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…

Q: The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis…

A: In Cournot duopoly two firms compete in quantity and maximize profit by producing at MR =MC

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…