In the following problem, find the profit maximizing quantity and graph themarginal revenue and marginal cost. Interpret your first-order condition interms of marginal benefit and marginal cost.maxπ = (12 - Q)Q-20²9

π(Q)=(12−Q)Q−2Q^2 = 12Q−3Q^2Find the first derivative of the profit function with respect to…

Answered: In the following problem, find the…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A bookstore owner can sell 26 magazines at a price of $1.38 per magazine. If the price is $1.10, he can sell 30 magazines. The total cost to purchase x magazines is C(x) = 0.65x+7.75 dollars. Step 1 of 3: Assuming the demand function is linear, find an equation for D(x). Do not round your answer.
Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x²; R(x) = x³ + 11x + 15 marginal cost marginal revenue marginal profit Find all values of x for which the marginal profit is zero. Interpret your answer. (Enter your answers as a comma-separated list.) X =
13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x+ 60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit?
To produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.
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A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 50,000. They will sell the CD's for $ 57 each. Let x be the number of CD's produced and sold. a. Write the total cost TC as a function of the number of CD's produced and sold. TC = $ b. Write the total revenue TR as a function of the number of CD's produced and sold. TR = $ c. Write the total net income NI as a function of the number of CD's produced and sold. NI = $ d. Find the number of CD's which must be produced and sold to breakeven. The number of CD's which must be produced and sold to breakeven is Round UP to the nearest whole number of CDs. Submit Question
production function: ƒ (k, 1) = 9 function. k Derive the firm's cost
Please show step by step
For each lettered space in the following table, determine the appropriate dollar amount.
A company manufactures a variety of camp stoves at different locations. The total cost C(x) (in dollars) of producing x camp stoves per week at plant A is shown in the figure. Discuss the graph of the marginal cost function C'(x) and interpret the graph of C'(x) in terms of the efficiency of the production process at this plant. C(x) $100,000 $50,000 500 1,000 Choose the correct answer below. A. The graph of y C'(x) shows that the marginal cost function is positive and decreasing. Since marginal costs are decreasing, the production process is becoming more efficient as production increases. B. The graph of y C'(x) shows that the marginal cost function is negative and decreasing. Since marginal costs are decreasing, the production process is becoming more efficient as production increases. C. The graph of y C'(x) shows that the marginal cost function is negative and increasing. Since marginal costs are increasing, the production process is becoming less efficient as production…
Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1120 log-ons per month. When you lowered the price to $2.50, the demand increased to 1400 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) = = (b) Your Internet provider charges you a monthly fee of $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). X = $ What is the largest possible monthly profit (in dollars)? $ LA

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In the following problem, find the profit maximizing quantity and graph the marginal revenue and marginal cost. Interpret your first-order condition in terms of marginal benefit and marginal cost. max π = (12 - Q)Q-20² 9