Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function P(t).P(t)63t + 6t2 – t3(a) Find the number of hours before production is maximized.t =hr(b) Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns.t =hr

Answered: Suppose that the total number of units…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled by the function y = 0.00630t3 – 0.289t² + 4.00t + 25.3 where t is the time (in years) since 1980. Find the average public debt as a percent of GDP, from 2000 to 2015.
A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student. (a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students. (b) The budget projected 500 students at each center. Calculate the total cost at each center.(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?
The Metropolitan Tiles Company manufactures two types of floor tiles using the same production process. The product transformation curve for the input used per week is defined by the function : y - 300/(x-30) = 15 , (x<30) Question (a) Find the largest amount of each type that can be produced per week. a. x=100 tiles; y=500 tiles b. x=1000 tiles; y=5000 tiles c. x=1000 tiles; y=500 tiles
Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t
A cube has an edge of 4 feet. The edge is increasing at the rate of 2 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. V(m)= Need it typed out istead of on paper, can't read paper well. thank you.

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