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Concept explainers
In Exercises 1-14,
a. (a)
b. (b) 1000
c. (c) $333.33
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Chapter 5 Solutions
Calculus and Its Applications (11th Edition)
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Glencoe Math Accelerated, Student Edition
- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardFor each supply function s(x) and demand level x , find the producers’ surplus. s(x)= .02x, x=100arrow_forwardD(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x) = - '및 + 8, S(x)= (a) Find the equilibrium point. (Type an ordered pair, using integers or decimals.) (b) Find the consumer surplus at the equilibrium point. (Type an integer or a decimal.) (c) Find the producer surplus at the equilibrium point. $ (Type an integer or a decimal.)arrow_forward
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- A manufacturing company purchases new products each year for use in the company. The product cost Rs.45,000 new. They are use for 3 years, after with they are sold for Rs. 80,000. The owner of the company estimates the variable cost of operating the products exclusive of engine, are Rs 0.96 per kilometer. Products are manufactures for a flat fee of Rs. 0.63 per kilometer (engine not included) A: Formulate the total revenue function associated with selling of the products of x kilometer over 4 year’s period. B: Formulate the total cost function associated with selling of the products of x kilometer over 4 years period C: Formulate the total profit function associated with selling of the products of x kilometer over 4 years period D: What is the profit if a product is a manufactured for 83,000 kilometers over a 4 years period? E: What kilometer age is required in order to urn 0 profit for 3 years? F: What is the restricted domain and restricted range for the function?arrow_forward1. A company sells baseball cards. The cost equation to manufacture the product is given by C (x) = x^2 - x + 31. The company sells its cards for $ 3.00 each. Therefore, your income equation is R (x) = 3x, where R is income and x is the number of units sold in the week (in thousands). Find and interpret the equilibrium point. PLEASE SHOW STEPS CLEARLY.arrow_forwardThe price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 3000 - 10p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 1800 clock radios. (D) Interpret R'(2500)= 200.00. (A) p = p(x) =arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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