The marginal revenue function for a manufacturer's is a of form (a)/(e^(q)+b) where a and b are constants. A)Derive the demand function. B)Analyze the features of function elements of a and b.
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The marginal revenue function for a manufacturer's is a of form (a)/(e^(q)+b) where a and b are constants.
A)Derive the
B)Analyze the features of function elements of a and b.
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- ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be �ж=�35 �х=560+22�Ȓ� Where �is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q.Revenue and Cost The total revenue function for LED TVs is given by R = 1050x dollars, and the total cost function for the TVs isC = 10,000 + 30x + x2dollars, where x is thenumber of TVs that are produced and sold.a. Which function is quadratic, and which is linear? b. Form the profit function for the TVs from thesetwo functions.c. Is the profit function a linear function, a quadraticfunction, or neither of these?A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?
- A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.Find the marginal and average functiions for the following total functions: a) Total cost function: C = 2Q2+7Q+12 b) Total revenue function: R = 10Q-Q2 c) Total Production: Q= aL+bL2-cL32 firms Demand functions: QA = 120 – 2PA + PB Cost Structure: AC = MC = 20 Calculate PA, QA and Profits for firm A.
- A firm has the following demand and average total cost functions: Q = 30 − PATC =(7/Q)− 6 +(1/2)Q Find:i. The total revenue function ii. The total cost function iii. The level of output that will maximize revenue and minimize total costs iv. The profit function and the level of output that maximize profits v. Show that AR = PRevenue and Cost The total weekly revenue functionfor a certain digital camera is given by R = 550xdollars, and the total weekly cost function for thecameras is C = 10,000 + 30x + x2dollars, where xis the number of cameras that are produced and sold.a. Find the profit function.b. Find the number of cameras that gives maximumprofit.c. Find the maximum possible profit.Answer "False" or "True" each of the following. Justify by relying on graphical analysis whenever possible. 1.- A company in perfect competition will maximize profits by equating average income to its marginal cost. 2.- For a company in perfect competition, the demand it faces is equal to the marginal product which is constant. plzz ansr first two
- he total revenue curve reaches its maximum at a quantity of200 refrigerators per year. At this point, the slope of the total revenue curve isequal to zeroA firm’s marginal revenue function is ?? = −9? + 126. Use indefinite integrals to solvefor the total revenue function. What increase in the total revenue will be brought about byselling four additional units if two units are currently sold?Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.
