In a given market the inverse demand function is P = 170 - Q per year. The interest rate is r= 0.05 and the cost structure of a firm is given by C(q) = 80 q.
Q: Find the marginal revenue function for the total revenue function given by 1 TR(Q) = 500Q- Find the…
A: a)TR(Q)=500Q-13Q3Now,MR=∂TR∂QMR=∂(500Q-13Q3)∂QMR=500-33Q3-1MR=500-Q2
Q: A two-product firm faces the following demand and cost functions: Qi = 40 – 2P, - P2 (0) Find the…
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Q: Suppose a rms demand function is given as Q = 55 – 0.5P, where P is price and Q is rate of output…
A: Total revenue is the total receipts collected from the sale of goods or services in the market.…
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A: Given information: A manufacturer of energy drinks spends $1.28 to make each drink and sells them…
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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…
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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: ABC Company Limited is a new business established to produce tables (in units). The demand function…
A: Profit maximizing quantity is such quantity where marginal revenue is equal to marginal cost.
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 firm's short-run cost function is given by: C (q) = 50 + 10g – 6q² +q? What is the lowest the…
A: Given: Cost function: =50+10q-6q2+q3 To find: lowest price
Q: Given prices for the two inputs as w1 = 1, w2 = 2, find the cost function of the (attached)…
A: Answer to the question is as follows:
Q: The price-demand and cost functions for the production of microwaves are given as p = 215 80 and…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: Suppose that the demand functions facing a n product firm are as follows: Q, = 40 – 2P, + P2 %D Q2 =…
A: The following problem has been answered as follows:
Q: Find the optimal output to maximize profit given that revenue function is TR = 9000Q − 207q2 and…
A: When money generated from a business activity exceeds the expenses, costs, and taxes involved in…
Q: If the market quantity demanded and quantity supplied functions are: QD = 187 - 4P Qs = 49 + 9P and…
A: Given:Qd = 187 - 4PQs = 49 + 9PMC = 2 + 3q
Q: Assuming that your firms total cost function is, TC (Q) = $21,128+4Q profits when the prices are $7,…
A: In the question, the total cost is TC = 21128 + 4Q and prices are $7, $9, and $11. Now we are…
Q: If the revenue function is equal to R(q) = 0.6q, the cost function is equal to c(q)= q/5 + ln(3q+1)…
A: Answer: Introduction: The cost and revenue function will grow at the same rate at the output level…
Q: A competitive firm has a technology function defined as Q = f(K,L) = K^2+ KL. Here, Q is the weekly…
A: Production function : Q = K2 + KL Price of output = 6 Wage rate (w)= 54 Capital Cost(r) = 25…
Q: Suppose that the marginal-revenue function for a manufacturer's product is = 100 – q², the…
A: The demand function of a good represents the relationship between price and quantity demanded of a…
Q: The total cost of a firm is TC(Q)=4Q2+6Q+34. Accordingly, its marginal cost is 2*4*Q+6 when its…
A: Answer to the question is as follows :
Q: An economist estimated that the cost function of a single-product firm is C(Q) = 100 + 20Q + 15 Q^2…
A: Total Cost is the cost that includes the fixed cost and variable cost of production. Cost function;…
Q: Consider that a company has a total cost function TC = 3Q3+2Q2+6. a.What is the average and…
A: Part a: Average Cost = Total Cost/ Quantity Marginal Cost = dTC/dQ TC = 3Q3+2Q2+6 Average Cost =…
Q: Suppose the cost function for a firm is given by C(Q) = 100 + Q2. If the firm sells output in a…
A: In a perfect competitive market all firms are price taker and keep their price level equal to 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: A firm's average cost function is given by the quadratic y = x2 -…
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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: R(q) = 40q − 12q2 A(q) = 1/30 q2 − 12.85q + 20 + 400/q Total cost = A(q) * q
Q: A firm has a linear demand function for its product. When the price of the product is Sh.220, the…
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Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…
A: Demand Function = P = 120-3Q FC = 50 VC = 5 per unit i.e. 5Q
Q: Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2…
A: Since you have posted multiple questions with multiple subparts, as per guidelines, we are supposed…
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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 Bellmont Company produces two joint products, X and Y. The isocost curve corresponding to a…
A: Bellmont Company will optimize its output of both the goods at the level where the rate of change of…
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: If the production function function y = 2x at an input price Of (DR. 300 and a fixed cost of IDR.…
A: The production function states the functional relationship between the given input and the achieved…
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 the cost function for a firm is given by C(Q) = 100 + Q°. If the firm sells output in a…
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A: Efficiency refers to the equilibrium condition where social demand equals social cost.
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A: The average total cost is calculated by total cost divided by the total quantity produced. ATC = TC…
Q: Find a maximum profit for a firm if its total revenue function is TR = 50Q - Q2 and its total cost…
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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 marginal revenue function for a manufacturer's is a of form (a)/(e^(q)+b) where a and b are…
A: he marginal revenue function for a manufacturer's is a of form (a)/(e^(q)+b) where a and b are…
Q: The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30 q2 − 12.85q…
A: total revenue (TR) is defined as the total quantity(q) of commodity produced multiplied with its…
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- An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!A manufacturer can produce at most 130 units of a certain product each year. The demand equation for the product is p =q² - 100q+4200 and the manufacturer's average-cost function is c=(2/3)q²-35q+(15000/q).Determine the profit-maximizing output q and the correspondinm maximum profit.Your firm has discovered a cheap and efficient technology of turning used plasticbottles and bags into various products. You limit your attention to the following twoproduction opportunities: you can produce plastic utensils or helmets forBoilermakers' fans. In the first case your estimated annual revenue is K25,000, whilethe production will cost you K8,000. However, in your second option, you expect tosell 2000 helmets every year at K10 each, and the average total cost of every helmetwill be K2.a. Which production opportunity will you choose and why? b. If you do so, what will be your economic profit if your answer is lower explain technically why it is so?
- A power company faces demands during both peak andoff-peak times. If a price of p1 dollars per kilowatt-hour ischarged during the peak time, customers will demand 60 0.5 p1 kwh of power. If a price of p2 dollars is chargedduring the off-peak time, then customers will demand 40 p2 kwh. The power company must have sufficient capacityto meet demand during both the peak and off-peak times. Itcosts $10 per day to maintain each kilowatt-hour of capacity.Determine how the power company can maximize dailyrevenues less operating costs.Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each year?Mutale, a lawyer, working for a large law firm and earning K60, 000 per year, is contemplating setting up his own law practice. He estimates that renting an office would cost K10,000 per year, hiring a legal secretary would cost K20,000 per year, and purchasing supplies, paying for electricity, telephone and so forth would cost another K5, 000 per year. The lawyer estimated that his total revenue for the year would be K100, 000. a) How much are the explicit costs of running the law firm? b) How much are the implicit costs? c) How much are the economic costs? d) Should the lawyer go ahead to set up the law firm?
- If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 − x/125 , its production cost per unit is US$5.00 i (i) Derive the total revenue function,R(x) for company B.(ii) Derive the profit function,Π(x) for company B.(ii) How many t-shirts must company B sell to in order to break-even.(iv) How many t-shirts must company B sell to maximise its profit.Demand for the latest best-seller at OHaganBooks.com, A River Burns Through It, is given by q =-3p +55 copies sold per week when the price is dollars. Find the revenue function and use it to determine what price the company should charge to obtain the maximum revenue? Round to two decimal places as needed.A company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer, Which of the following values of D represents the breakeven point? (a) 10 units (b) 15 units (c) 20 units (d) 25 units.
- Johnson Controls spent more than $2.5 millionretrofitting a government complex and installing acomputerized energy-management system for theState of Massachusetts. As a result, the state’s energybill dropped from an average of $6 million a yearto $3.5 million. Moreover, both parties will benefitfrom the 10-year life of the contract. Johnson recovers half the money it saved in reduced utility costs(about $1.2 million a year over 10 years); Massachusetts has more money to spend on other things. Whatis the rate of return realized by Johnson Controls inthis energy-control system?What rent PSF would be needed to incentivize this development? Suppose new Class A Office developments cost $200 per square foot (psf), all in (i.e. land cost, construction, dev costs, reasonable dev profits) If the new building can be sold for $200 psf, development is feasible. Suppose investors are willing to pay $12.50 per dollar of (net operating) income on the building3 Your company plans to raise price on product A by 5% per year. Due to competition, sales volume from product A is expected to decline at 10% per year. Revenue will be $5M for this year. Alternatively, based on the projection from the marketing department, you may reduce the sales volume decline from 10% to 5% if the price is kept unchanged. The product will be discontinued at the end of year 5 for both scenarios. If the firm's TVOM is 10%, Determine the revenue cash flow streams for both alternatives. What is the Excel financial function to compute PW of the revenue streams