Engineering Economy, Student Value Edition (17th Edition)
Engineering Economy, Student Value Edition (17th Edition)
17th Edition
ISBN: 9780134838137
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
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Chapter 2, Problem 16P
To determine

The value of X that provides maximum profit.

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The function P(x) - 1.25x² + 775x - 7000 gives the profit when x units of a certain product are sold. Find a) the profit when 85 units are sold = dollars b) the average profit per unit when 85 units are sold dollars per unit c) the rate that profit is changing when exactly 85 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 85 to 170. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units
Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is МС- 4x+ 25, that its marginal revenue is MR%3D 75 - 6х, and that the cost of production of 60 units is $8,880. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level.
A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year​ (i.e., per ​printing)=​$47,000 and the variable cost per unit=​$40. What is the maximum profit that can be​ achieved? What is the unit price at this point of optimal​ demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is ​$? ​(Round to the nearest​ dollar.) The unit price at the point of optimal demand is ​$? per unit. ​
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