A manufacturing firm has 120 hours per week available in one of ita departmenta. Two products are processed through this department. Product A requires 4 hours per unit and product B 6 hours per unit in this department. If x equala the number of unita of product A produèed per week and yequala the number of units of product Bproduced per week: (a) Determine the equation which states that total time expeded for producing these two producta equals 120 hours per week. (b) Rewrite this equation in elope-intercept form and identify she sieand y intercept. (e) Interpret the meaning of the alope and y intercept in this application

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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A manufacturing firm has 120 hours per week available in one of its departments. Two
products are processed through this department. Product A requires 4 hours per unit
and product B 6 hours per unit in this department. If r equala the number of unita of
product A produčed per week and yequals the number of units of product B produced per
week:
(a) Determine the equation which states that total time expended for producing these
two producta equals 120 hours per week.
(b) Rewrite this equation in elope-intercept form and identify the siopeandy intercept.
(e) Interpret the meaning of the alope and y intercept in this application.
Transcribed Image Text:A manufacturing firm has 120 hours per week available in one of its departments. Two products are processed through this department. Product A requires 4 hours per unit and product B 6 hours per unit in this department. If r equala the number of unita of product A produčed per week and yequals the number of units of product B produced per week: (a) Determine the equation which states that total time expended for producing these two producta equals 120 hours per week. (b) Rewrite this equation in elope-intercept form and identify the siopeandy intercept. (e) Interpret the meaning of the alope and y intercept in this application.
76 Cable Television Figure 2.24 illustrates some data gathered by Nielsen Media Re-
search regarding the growth of cable television. Observation of the data points indicates
that the growth in the percentage of TV households having cable has been approxi
mately linear. Using the data points for 1976 and 1990 to estimate the linear relation
ship between the percentage Pand time t (t-0 corresponds to 1972):
(al Determine the slope-intercept form of the linear estimating equation.
(b) Interpret the meaning of the slope and Pintercept.
WForecast the expected percentage for 1995. For the year 2000.
(d) When is the percentage expected to exceed 80?
Transcribed Image Text:76 Cable Television Figure 2.24 illustrates some data gathered by Nielsen Media Re- search regarding the growth of cable television. Observation of the data points indicates that the growth in the percentage of TV households having cable has been approxi mately linear. Using the data points for 1976 and 1990 to estimate the linear relation ship between the percentage Pand time t (t-0 corresponds to 1972): (al Determine the slope-intercept form of the linear estimating equation. (b) Interpret the meaning of the slope and Pintercept. WForecast the expected percentage for 1995. For the year 2000. (d) When is the percentage expected to exceed 80?
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