Angela is starting a new business, selling shirts and dresses that she sews herself. The materials for the skirts cost $13.56, and the materials for the dresses cost $18.79. She only has $80 to spend. She still has a regular job, so she is limited on the time she has to sew her products. She only wants to spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a dress. 1. Using the information above, write inequalities representing the constraints based on the amount she has for materials, and the amount of time she has to spend sewing. 2. Graph each inequality on the same set of coordinate axes. Identify the number of skirts and dresses that could possibly maximize her profits. Round to the nearest whole number.
Angela is starting a new business, selling shirts and dresses that she sews herself. The materials for the skirts cost $13.56, and the materials for the dresses cost $18.79. She only has $80 to spend. She still has a regular job, so she is limited on the time she has to sew her products. She only wants to spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a dress. 1. Using the information above, write inequalities representing the constraints based on the amount she has for materials, and the amount of time she has to spend sewing. 2. Graph each inequality on the same set of coordinate axes. Identify the number of skirts and dresses that could possibly maximize her profits. Round to the nearest whole number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Step by step explanation please!!
Transcribed Image Text:Angela is starting a new business, selling shirts and dresses that she sews
herself. The materials for the skirts cost $13.56, and the materials for the
dresses cost $18.79. She only has $80 to spend. She still has a regular job,
so she is limited on the time she has to sew her products. She only wants to
spend 15 hours sewing; it takes 2 hours to sew a skirt, and 4 hours to sew a
dress.
1. Using the information above, write inequalities representing the
constraints based on the amount she has for materials, and the amount
of time she has to spend sewing.
2. Graph each inequality on the same set of coordinate axes. Identify the
number of skirts and dresses that could possibly maximize her profits.
Round to the nearest whole number.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
- Angela thinks she could sell each skirt for $30, and each dress for $40. Write an equation for the function S(x, y), the amount of money she will make in sales for x number of skirts and y number of dresses.
- Using the equation for the amount of money she could make, identify the number of skirts and dresses that will maximize her sales, and find her total profit for selling that amount of skirts and dresses.
Solution
by Bartleby ExpertRecommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
