3 ped 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: $10 each for the first 50 units, $9 each for units 51-100, and $8 for each unit over 100. Product 2's profitability is $20 each for the first 25 units, $19 each for units 26-50, and $18 each for each unit over 50. The products each require 3 raw materials to produce (see table below for usages and available quantities). ook ences Raw Material Product 1 usage (pounds per unit) Product 2 usage (pounds per unit) Available Quantity (pounds) A B 5 4 800 C 12 1,000 10 2,000 2,000 190,000 Use separable programming to find the optimal production plan. Note :Round all quantities to the nearest whole number and round profits to 2 decimal places. units of Product 1 and units of Product 2. The total profit from this plan will be

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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3
ped
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: $10 each for the first 50
units, $9 each for units 51-100, and $8 for each unit over 100. Product 2's profitability is $20
each for the first 25 units, $19 each for units 26-50, and $18 each for each unit over 50.
The products each require 3 raw materials to produce (see table below for usages and
available quantities).
ook
ences
Raw Material
Product 1 usage
(pounds per unit)
Product 2 usage
(pounds per unit)
Available Quantity
(pounds)
A
B
5
4
800
C
12
1,000
10
2,000
2,000
190,000
Use separable programming to find the optimal production plan.
Note :Round all quantities to the nearest whole number and round profits to 2 decimal
places.
units of Product 1 and
units of Product 2.
The total profit from this plan will be
Transcribed Image Text:3 ped 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: $10 each for the first 50 units, $9 each for units 51-100, and $8 for each unit over 100. Product 2's profitability is $20 each for the first 25 units, $19 each for units 26-50, and $18 each for each unit over 50. The products each require 3 raw materials to produce (see table below for usages and available quantities). ook ences Raw Material Product 1 usage (pounds per unit) Product 2 usage (pounds per unit) Available Quantity (pounds) A B 5 4 800 C 12 1,000 10 2,000 2,000 190,000 Use separable programming to find the optimal production plan. Note :Round all quantities to the nearest whole number and round profits to 2 decimal places. units of Product 1 and units of Product 2. The total profit from this plan will be
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