If C(x) = 18,000+ 600x-0.6x2 + 0.004x³ is the cost function and p(x) = 1,800 6x is the demand function, find the production level (in units) that will maximize profit. (Hint: If the profit is maximized, then the marginal revenueequals the marginal cost.)x unitsSubmit AnswerHomeMy AssignmentsRequest Extension

To maximize profit, we need to find the production level where the marginal revenue equals the…

Answered: If C(x) = 18,000+ 600x-0.6x2 + 0.004x³…

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter7: Economies Of Scale And Scope

Section: Chapter Questions

Problem 5MC

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2) The owner of a restaurant that you are thinking of purchasing, tells you for x customers per week the weekly cost and revenue in dollars is C(x) = 15000+2x and R(x) = 500x-3x² a) Find the profit function P(x) b) Find the break-even quantities rounding properly to a whole number. (Hint: Use the Quadratic formula) c) Why is the minimum break-even quantity important?
Assume that the linear cost and revenue models apply. An item costs $6 to make. If fixed costs are $2400 and profits are $2100 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.) R(x) =
When total revenue is $4000, explicit cost is $700, and implicit cost is $500, then calculate the economic gain.
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A firm has the following information on production and costs from past data: Output (Y) 0 6 12 18 Total Cost (TC) 9 2775 5361 8199 If the total cost function is known to be TC=aY3+bY2+kY+f, and the demand for the product of the firm is Y=320-(1/2)P. answer the following: Determine the coefficient of the cubic cost function. Derive all cost and revenue curves and the profit function. Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all points.
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A firm has the following information on production and costs from past data: Output (Y) 0 6 12 18 Total Cost (TC) 9 2775 5361 8199 If the total cost function is known to be TC=aY' + bY2 +kY + f , and the demand for the product of the firm is Y=32041/2)4, answer the following: Determine the coefficients of the cubic cost function. Derive all cost and revenue curves and the profit Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all Calculate the break even and profit maximizing levels of output and price. What is the relationship between price, marginal revenue and own price elasticity of demand at the profit maximization point.
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A linear revenue function is R = 86x. (Assume R is measured in dollars.) (a) What is the slope m? m = Let C(x) = 7x + 550 and R(x) = 28x. (a) Write the profit function P(x). P(x) = (b) What is the marginal revenue MR? MR = What does the marginal revenue mean? ○ Each additional unit sold yields this many dollars in revenue. ○ If the number of units sold is increased by this amount, the revenue decreases by $1. ◇ Each additional unit sold decreases the revenue by this many dollars. ◇ If the number of units sold is increased by this amount, the revenue increases by $1. (c) What is the revenue received from selling one more item if 50 are currently being sold? $ What is the revenue received from selling one more item if 100 are being sold? $ (b) What is the slope m of the profit function? m = (c) What is the marginal profit MP? MP = (d) Interpret the marginal profit. ○ Each additional unit sold increases the profit by this much. ○ This is the smallest number of units that can be sold in…
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Whenever the Total revenue is $31 and the explicit costs is $20 find the Accounting profit.
A municipal water utility employs quasi-fixed capital inputs-the water treatment plant and distribution lines to homes-to supply water to 20,000 households in the community it serves. The figure below shows the cost structure of this utility for various levels of water service. Quantity of water consumption is measured in 1,000-gallon units per month. AQFC is the average quasi-fixed cost curve, and LAC is long-run average cost. Long-run marginal cost, LMC, is constant and equal to $4 per 1,000-gallon unit. The inverse demand equation is P= 24 - 0.0004Qd Price and cost ($ per 1,000-gallon unit) 14 10 04 MR AQFC LAC LMC Quantity (1,000-gallon units per month) Second-best pricing does not achieve social economic efficiency because there is a deadweight loss of

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