. Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear func- tion C that models the cost of producing x chairs in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced?

. Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear func- tion C that models the cost of producing x chairs in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 50E: Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs...

See similar textbooks

Similar questions

Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?
Employee Turnover The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to Walmart for a given employee turnover percentage in a year.13 E = employee turnover 10 20 30 40 C = cost 250 400 550 700 a. Show that the data can be modeled by a linear function. b. Find the slope of the linear function. c. Find a linear model for the data. d. Use the result from part c to find the cost to Walmart if employee turnover is 33 in a year.
Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I(x)=1,054x+23,286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
Femur Length and Height Anthropologists use a linear model that relates femur length to height. The model allows an anthropologist to determine the height of an individual when only a partial skeleton (including the femur) is found. In this problem we find the model by analyzing the data on femur length and height for the eight males given in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear function that models the data. (c) An anthropologist finds a femur of length 58 cm. How tall was the person?