Sales AnalysisA company's total sales (in millions of dollars) t months from now are given byS(t) = 0.02t³ +0.5t² + 2t+3Use this sales model to answer questions 1-3 below. Use the sales model above to answer this question.What is the instantaneous rate of change of S(t) 11 months from now? Round to 2 decimal places.millions of dollars per month

Given: The total sales of the company (in million dollars) t months from now is given by,…

Answered: Sales Analysis A company's total sales…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.1: Quadratic Functions And Models

Problem 70E: Maximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x...

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Similar questions

Drug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?
Colonial Population The table shows the colonial population estimates of the American colonies for each decade from 1700 through 1780. Let y represent the population in the year t, with t=0 corresponding to 1700. (a) Use the regression feature of a graphing utility to find an exponential model for the data. (b) Use the regression feature of the graphing utility to find a quadratic model for the data. (c) Use the graphing utility to plot the data and the models from parts (a) and (b) in the same viewing window. (d) Which model is a better fit for the data? Would you use this model to predict the population of the United States in 2020? Explain your reasoning.
Minimum Cost A manufacturer of lighting fixtures has daily production costs of C=80010x+0.25x2, where C is the total cost (in dollars) and x is the number of units produced. What daily production number yields a minimum cost?
Maximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model P=230+20x0.5x2. What expenditure for advertising yields a maximum profit?
Population The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model P=57.59e0.0051t, where t represents the year, with t=3 corresponding to 2003. (a) According to the model, is the population of Italy increasing or decreasing? Explain. (b) Find the populations of Italy in 2003 and 2015. (c) Use the model to predict the populations of Italy in 2020 and 2025.

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Sales Analysis A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.02t³ +0.5t² + 2t +3 Use this sales model to answer questions 1-3 below.