Please help solve in excel using Solver and show steps. A manufacturer produces perfume, which requires chemicals and labor. The firm has two production lines to make perfume. The two lines can both be used to produce perfume of the same quality, which is sold in the market at a price of $100 per ounce. Line 1 requires 1 unit of chemicals and 0.1 labor hour to produce each ounce of perfume. Line 2 requires 2 units of chemicals and no labor hour to produce each ounce of perfume. It costs the company $20 for each labor hour and $2 for each unit of chemical. Up to 2,000 labor hours and 50,000 units of chemicals can be purchased. Due to maintenance issues, no more than 60% of the perfume produced should be from Line 1. The company wants to determine how many ounces of perfume to produce on each of the two production lines to maximize its profit, which is the revenue from selling perfume minus the total cost of buying labor hours and chemicals.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Please help solve in excel using Solver and show steps.

A manufacturer produces perfume, which requires chemicals and labor. The firm has two production lines to make perfume. The two lines can both be used to produce perfume of the same quality, which is sold in the market at a price of $100 per ounce. Line 1 requires 1 unit of chemicals and 0.1 labor hour to produce each ounce of perfume. Line 2 requires 2 units of chemicals and no labor hour to produce each ounce of perfume. It costs the company $20 for each labor hour and $2 for each unit of chemical. Up to 2,000 labor hours and 50,000 units of chemicals can be purchased.

Due to maintenance issues, no more than 60% of the perfume produced should be from Line 1.

The company wants to determine how many ounces of perfume to produce on each of the two production lines to maximize its profit, which is the revenue from selling perfume minus the total cost of buying labor hours and chemicals.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,