Concept explainers
Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by
C(x) = 0.000002x3+ 5x + 400
Calculate
for h = 1, 0.1, 0.01, 0.001, and 0.0001, and use your results to estimate the rate of change of the total cost function when the level of production is 100 cases/day.
Trending nowThis is a popular solution!
Chapter 2 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardFind the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.arrow_forwardFind the instantaneous rate of change for each function at the given value. f(x)=x2+2x at x=0arrow_forward
- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardThe 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) ?arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,