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Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. A company is building computers. The company is making an economical version (x) and a
professional version (y). The company has enough parts to make 10 computers for the day. They
have a 3 employees building computers. They each work 8 hour days. Therefore, the company has a
total of 24 hours to assemble the computers. The economical computer takes 2 hours to build and
install software. The professional version takes 4 hours to build and install software.
12
a. Write an inequality that shows the company can
only make a maximum of 10 computers.
11
10
b. Write an inequality that shows the company can
only has 24 hours of time to use to build the
computers.
c. Write base inequalities suggesting that the company
must make 0 or more computer of each type.
10
11
d. Graph the system of inequalities to show the possible number of each computer to be built.
e. The company nets a profit of $200 on the economical computers and $350 on the professional. Create
an objective function to determine how many of each should be built to maximize profit?
Transcribed Image Text:6. A company is building computers. The company is making an economical version (x) and a professional version (y). The company has enough parts to make 10 computers for the day. They have a 3 employees building computers. They each work 8 hour days. Therefore, the company has a total of 24 hours to assemble the computers. The economical computer takes 2 hours to build and install software. The professional version takes 4 hours to build and install software. 12 a. Write an inequality that shows the company can only make a maximum of 10 computers. 11 10 b. Write an inequality that shows the company can only has 24 hours of time to use to build the computers. c. Write base inequalities suggesting that the company must make 0 or more computer of each type. 10 11 d. Graph the system of inequalities to show the possible number of each computer to be built. e. The company nets a profit of $200 on the economical computers and $350 on the professional. Create an objective function to determine how many of each should be built to maximize profit?
7. A carpenter is required to make at least 2 large designer tables (x) and at least 1 small table
each week (y). It takes 6 hours to make a large table and 4 hours to make the smaller table.
The carpenter only works 40 hours per week.
a. Write an inequality that shows the collective time
11
spent building the tables must be less than 40 hours.
101
b. Write base inequalities suggesting that the carpenter
must make at least 2 large tables and 1 small table.
c. Graph the system of inequalities to show the
possible number of each table to be built.
d. The company nets a profit of $200 on the large table and $160 on the small table. Create an objective
function to determine how many of each should be built to maximize profit?
Transcribed Image Text:7. A carpenter is required to make at least 2 large designer tables (x) and at least 1 small table each week (y). It takes 6 hours to make a large table and 4 hours to make the smaller table. The carpenter only works 40 hours per week. a. Write an inequality that shows the collective time 11 spent building the tables must be less than 40 hours. 101 b. Write base inequalities suggesting that the carpenter must make at least 2 large tables and 1 small table. c. Graph the system of inequalities to show the possible number of each table to be built. d. The company nets a profit of $200 on the large table and $160 on the small table. Create an objective function to determine how many of each should be built to maximize profit?
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