A manufacturing firm has 120 hours per week available in one of its departments. Twoproducts are processed through this department. Product A requires 4 hours per unitand product B 6 hours per unit in this department. If r equala the number of unita ofproduct A produčed per week and yequals the number of units of product B produced perweek:(a) Determine the equation which states that total time expended for producing thesetwo 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 indicatesthat the growth in the percentage of TV households having cable has been approximately linear. Using the data points for 1976 and 1990 to estimate the linear relationship 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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Description: A manufacturing firm has 120 hours per week available in one of its departments. Twoproducts are processed through this department. Product A requires 4 hours per unitand product B 6 hours per unit in this department. If r equala the number of unita

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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

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

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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A: Solution

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

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?

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