A fashion house makes designer masks using cotton and polyester fabrics.  Each cotton mask requires 15 minutes and each polyester mask requires 21 minutes of time to be made.  Each cotton mask requires $5 worth of material and each polyester mask requires $4 worth of material.  The owner has set a maximum of 4 hours each day to be available for mask making and a budget of at most $50 for the fabrics used daily.  Each cotton mask is sold for $40, and each polyester mask is sold for $30.  The owner knows that there is a daily demand for at least 2 cotton and at least 5 polyester masks.  How many of each type of mask should be made and sold daily in the fashion house in order to maximize the daily mask revenue?   Let x be the number of cotton masks made daily. Let y be the number of polyester masks made daily. Write the objective function and determine which of the following is true.    A.  Maximize R = 40x + 30y, where R is the daily revenue from the sale of masks.  B.  Maximize C = 5x + 4y, where C is the fabric cost of masks made daily.  C.  Minimize R = 40x + 30y, where R is the daily revenue from the sale of masks.  D.  Maximize N = 2x + 5y, where N is the number of masks made daily.  E.  Minimize C = 5x + 4y, where C is the fabric cost of masks made daily

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

A fashion house makes designer masks using cotton and polyester fabrics.  Each cotton mask requires 15 minutes and each polyester mask requires 21 minutes of time to be made.  Each cotton mask requires $5 worth of material and each polyester mask requires $4 worth of material.  The owner has set a maximum of 4 hours each day to be available for mask making and a budget of at most $50 for the fabrics used daily.  Each cotton mask is sold for $40, and each polyester mask is sold for $30.  The owner knows that there is a daily demand for at least 2 cotton and at least 5 polyester masks.  How many of each type of mask should be made and sold daily in the fashion house in order to maximize the daily mask revenue?

 

Let x be the number of cotton masks made daily.

Let y be the number of polyester masks made daily.

Write the objective function and determine which of the following is true.

 
  •  A. 

    Maximize R = 40x + 30y, where R is the daily revenue from the sale of masks.

  •  B. 

    Maximize C = 5x + 4y, where C is the fabric cost of masks made daily.

  •  C. 

    Minimize R = 40x + 30y, where R is the daily revenue from the sale of masks.

  •  D. 

    Maximize N = 2x + 5y, where N is the number of masks made daily.

  •  E. 

    Minimize C = 5x + 4y, where C is the fabric cost of masks made daily.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON