Demand The demand function for a product is given by3p = 8,000 1-8,000(1-3 + e-0.004xwhere p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.)(a) Find the number of units sold when p = $400.units(b) Find the number of units sold when p = $1,300.units Minimum Average Cost The cost of producing x units of a product is modeled byC = 220 + 75x-320 In(x), x≥ 1.(a) Find the average cost function C.C(x) ==x2(b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)

Demand The demand function is given as a) Substitute p = 400 into the demand function By taking…

Answered: Demand The demand function for a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 43E

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The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Total Cost If the fixed cost for producing a productis $3000 and the variable cost for the production is3.30x2dollars, where x is the number of units produced, form the total cost function C(x).
Cost Analysis A rival company manufactures fuel tanks for cars using a different production technique. The total weekly cost (in dollars) of producing x tanks is given by.. C(x) = 10000 +90x-0.05x2 %3D Find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (Round to the nearest 2 decimal places, if needed) HINT: Steps to find the approximate or estimate (cost/revenue/profit) 1. Find C' (x) = MC (500); 2. take the derivative of the cost/revenue/profit function; 3. plug in 500 for x ASUS
Marginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for producing x thermometers is represented by the following function. Find the following functions (in dollars) and interpret your results. C(x) = 2,000 + 2x (a) Find the average cost function C. C(x) = (b) Find the marginal average cost function C'. C'(x) = (c) Interpret your results. O Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is negative for all x > 0. O Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is positive for all x > 0. O Since the marginal average cost function is positive for x > 0, the rate of change of the average cost function is positive for all x > 0. O Since the marginal average cost function is positive for x > 0, the rate of…
Super Bowl Ads A minute ad during Super BowlVII in 1973 cost $200,000. The price tag for a30-second ad slot during the 2011 Super Bowlwas $3 million. The cost of a 30-second slot ofadvertising for the Super Bowl can be modeled byy = 0.0000966(1.101x ), where x is the number ofyears after 1900 and y is the cost in millions.a. According to the model, what was the cost of a30-second Super Bowl ad in 2000?b. The cost of a 30-second ad during Super Bowl XLIXin 2015 was $4.5 million. Does the model underestimate or overestimate the cost of these ads?
the revenue of selling tablets is R(x)=0.5x2+2x dollars a. find the marginal revenue function b. find the marginal revenue when 10 tablets are sold and interpret its meaning
Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use equal signs appropriately. Clearly indicate your answers. 1. Let the total cost function C(x) be C(x) = 0.0002x³ -0.07x2 +90x+ 5,600 (a) Find the average cost function C. (b) Find the marginal average cost function '.
The demand function for a certain product is given by 1000 q + 1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. (Round your answer to the nearest cent.) $ p = 500 +
A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.

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