Given a cost function:C(x) = x² - 200x - 3500And the following revenue function:R(x)=6x2-400xWhat level of production will yield a profit of $6,000?40 or 50 units of production60 units of production30 or 60 units of production30 units of productionNone of these options50 units of production

To determine the level of production that will yield a profit of $6,000, we need to solve for (x) in…

Answered: Given a cost function: C(x) = x² - 200x…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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ADTF Distributors produces and sells a line of virtual sketch pad devices with a micro-USB connection. They find that their profit when producing and selling x devices changes according to the marginal profit function P'(x) = 60 -0.1x. dollars per device. They also know that when only 10 devices are produced and sold their loss can be expressed as P(10) = -650. (a) Find the function for the total profit from producing and selling x virtual sketch pad devices: P(x) = (b) Use your answer to part (a) to complete the following sentence. When ADTF Distributors produces and sells 603 virtual sketch pad devices, we predict that their total profit will be $ (c) From the profit function, we can conclude that the fixed costs when producing the devices is $ Given that the variable costs of the production are $27 per device, then the total cost to produce 603 virtual sketch pad devices will be $ (d) When 603 devices are produced and sold, the selling price must be $ Hint: First, find the total…
When the admission price for a baseball game was $4 per ticket, 50,000 tickets were sold. When the price was raised to $5, only 45,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively. (a) Find the profit P as a function of x, the number of tickets sold. P(x) = (b) Select the graph of P. y 150000 y 150000 150 000 100 000 100 000 100 000 50 000 50 000 50 000 20000 40 000 60 00p 20000 40 000 60 000 20000 40 000 60 000 - 50 000 -50 000 -50 000 -100 000 100000 100000 The xy-coordinate plane is given. The curve starts at the approximate point (0, 3,000), goes up and right becoming less steep, and exits the window at the approximate point o-150000 O o-150000L O O (70,000, 69,000). 150000 100 000. 50 000- 20000 40 000 60 do0 - 50 000 100 000- o 150 000
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E Let the demand function for a product be given by the function D(q) = -1.65g + 270, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $4, 000 and variable costs are $3 per item produced. If 96 items are produced and sold, find the following: A) The total revenue from selling 96 items (to the nearest penny). Answer: $ B) The total costs to produce 96 items (to the nearest penny). Answer: $ C) The total profits to produce 96 items (to the nearest penny. Profits may or may not be negative.). Answer: $ Question Help: C ME PE Video 66°F Mostly cloudy
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Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2 + %3D and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?
A firm can produce 100 units per week. If its total cost function is C = 400 + 1000x dollars and its total revenue function is R = 1100x – x? dollars, how many units, x, should it produce to maximize its profit? units Find the maximum profit. $
Consider the following function: Ĉ = 0.03q + 6 + 200/q - determine the approximate cost to increase production from 200 units to 201 units - determine the function of marginal cost
Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 60 + 0.10x + 0.001x² dollars. (a) Calculate the marginal profit function, in dollars per copy. P'(x) = (b) Compute the marginal profit, if you have produced and sold 500 copies of the latest edition. When you produce and sell 500 copies, the marginal profit is dollars per copy. Interpret the results: The approximate loss from the production and sale of the 501st сорy is dollars.
A manufacturing company produces ACME Standard Widgets having a fixed cost of $50 and variable cost of $8 per unit. Sales history indicates that the sales price in dollars, P, varies with the demand, D, by the function: P = 200 - 0.1D Determine the following: Optimum demand for the widgets. Maximum profit that can be made. Determine the range of demands for which the company is profitable.
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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