Math Problem Statement
GetFit is a company that makes high-end exercise machines and the machine Pilates Power is their most popular product. For each production cycle of the Pilates Power machines, GetFit purchases 5 SKUs: W32A, Y33A, W32B, X33B, and Z32A. There are four suppliers: Supplier A, B, C, and D. The minimum number of units needed in each production cycle and the prices for each unit offered by the suppliers are listed in Table 1a. The maximum total number of units that each company can supply are listed in Table 1b. For example, if Supplier C supplies 3000 pieces of SKU Z32A, it cannot supply anything else.
Table 1a. Number of units needed and unit prices (in dollars) offered by the suppliers.
Parts Number of units needed Supplier A Supplier B Supplier C Supplier D W32A 6000 500 538 570 566 Y33A 32000 109 108 116 117 W32B 22000 27 28 30 29 X33B 6000 230 225 207 245 Z32A 27000 324 354 352 378 Table 1b. The maximum total number of parts that each company can supply
Supplier A Supplier B Supplier C Supplier D 26400 25600 3000 41000 What is the minimum total procurement cost for GetFit? Please give answers in dollars without the dollar sign "$" and round them to the nearest integer, e.g., if the answer is $400.27, enter 400.
What is the total number of units purchased from these companies?
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Formulas
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Theorems
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Suitable Grade Level
Advanced
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