(4) Stitches Inc. can make at most 30 jean jackets and 20 leather jackets in a week. It takes a worker 10 hours to make a jean jacket and 20 hours to make a leather jacket. The total number of hours by all of the employees can be no more than 500 hours per week. The profit on a jean jacket is S 20, and the profit on a leather jacket is $50. max (a) What are your variables and what do they represent? hrs 10 20 5 820 x 20 10x+26, (b) Write the objective quantity equation. #30 20 50 (c) Write the system of inequalities that describes the constraints. 30 x 2 (d) Graph the system of inequalities and find the vertices. 10 = 25 (e) How many of each type should be produced in order to maximize profit? What is the maximum profit?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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This is what I'm having trouble with I don't think the 50 should be there, but I don't know what to put there.

(4) Stitches Inc. can make at most 30 jean jackets and 20 leather jackets in a week. It takes a worker 1o
hours to make a jean jacket and 20 hours to make a leather jacket. The total number of hours by an
of the employees can be no more than 500 hours per week. The profit on a jean jacket is $20, and
the profit on a leather jacket is $50.
P = 20x + 50y J
Imax
hrs
10
20 58
(a) What are your variables and what do they represent?
#30
20 50
x 20
(b) Write the objective quantity equation.
10x+20y
(C) Write the system of inequalities that describes the constraints.
30x 20u
(d) Graph the system of inequalities and find the vertices.
X= 50 y=25
(e) How many of each type should be produced in order to maximize profit? What is the maximum
profit?
Transcribed Image Text:(4) Stitches Inc. can make at most 30 jean jackets and 20 leather jackets in a week. It takes a worker 1o hours to make a jean jacket and 20 hours to make a leather jacket. The total number of hours by an of the employees can be no more than 500 hours per week. The profit on a jean jacket is $20, and the profit on a leather jacket is $50. P = 20x + 50y J Imax hrs 10 20 58 (a) What are your variables and what do they represent? #30 20 50 x 20 (b) Write the objective quantity equation. 10x+20y (C) Write the system of inequalities that describes the constraints. 30x 20u (d) Graph the system of inequalities and find the vertices. X= 50 y=25 (e) How many of each type should be produced in order to maximize profit? What is the maximum profit?
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