A firm offers three different prices on its products, depending upon the quantity purchased. Since availab firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following pro 75 units, $14 each for units 76–150, and $10 for each unit over 150. Product 2's profitability is $17 each for for units 51–100, and $12 each for each unit over 100. The products each require 3 raw materials to produ usages and available quantities). Product 1 usage (pounds per unit) Product 2 usage (pounds per unit) Available Quantity (pounds) Raw Material A 4 4 1200 В 9 10 2700 10 3600 Use separable programming to find the optimal production plan. (Round all quantities to the nearest whole number. ) Total units of Proudct 1 produced = | Total units of Dreduct 2 produced -

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section: Chapter Questions
Problem 23P
icon
Related questions
Question
A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the
firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $16 each for the first
75 units, $14 each for units 76–150, and $10 for each unit over 150. Product 2's profitability is $17 each for the first 50 units, $15 each
for units 51–100, and $12 each for each unit over 100. The products each require 3 raw materials to produce (see table below for
usages and available quantities).
Available Quantity
(pounds)
1200
Product 1 usage
Product 2 usage
(pounds per unit)
4
Raw Material
(pounds per unit)
A
4
В
9.
10
2700
C
10
9.
3600
Use separable programming to find the optimal production plan.
(Round all quantities to the nearest whole number. )
Total units of Proudct 1 produced
Total units of Product 2 produced =
Total profit =
Transcribed Image Text:A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $16 each for the first 75 units, $14 each for units 76–150, and $10 for each unit over 150. Product 2's profitability is $17 each for the first 50 units, $15 each for units 51–100, and $12 each for each unit over 100. The products each require 3 raw materials to produce (see table below for usages and available quantities). Available Quantity (pounds) 1200 Product 1 usage Product 2 usage (pounds per unit) 4 Raw Material (pounds per unit) A 4 В 9. 10 2700 C 10 9. 3600 Use separable programming to find the optimal production plan. (Round all quantities to the nearest whole number. ) Total units of Proudct 1 produced Total units of Product 2 produced = Total profit =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Optimization models
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,