Apollo Hospitals imports implants for knee arthroplasty. Different knee surgeries require implants of different sizes. The hospital buys these from two different suppliers – Knee-wala and Knee-sure. The supplies of both of them are in packs of 100. The cost and the size-mix of the implant purchased are given in the following table. No. of implants (%) Supplier Cost per pack Large Medium Small Knee-wala 7(8000+XXX) 40 20 40 Knee-sure 7(6000+XXX) 20 40 40 Each quarter the hospital requires at least (100 + XX) large implants, (200 + XX) medium implants, and (220 + XX) small implants. Because of limited availability, at most 400 implants can be purchased from each supplier. Determine the optimal number of packs that should be

Linear Algebra: A Modern Introduction
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Author:David Poole
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Apollo Hospitals imports implants for knee arthroplasty. Different knee surgeries require
implants of different sizes. The hospital buys these from two different suppliers – Knee-wala
and Knee-sure. The supplies of both of them are in packs of 100. The cost and the size-mix of
the implant purchased are given in the following table.
No. of implants (%)
Supplier
Cost per pack
Large
Medium
Small
Knee-wala
z(8000+XXX)
40
20
40
Knee-sure
(6000+XXX)
20
40
40
Each quarter the hospital requires at least (100 + XX) large implants, (200 + XX) medium
implants, and (220 + XX) small implants. Because of limited availability, at most 400 implants
can be purchased from each supplier. Determine the optimal number of packs that should be
purchased from each supplier so as to minimise the total cost. XXX = last three digits of your
Transcribed Image Text:Apollo Hospitals imports implants for knee arthroplasty. Different knee surgeries require implants of different sizes. The hospital buys these from two different suppliers – Knee-wala and Knee-sure. The supplies of both of them are in packs of 100. The cost and the size-mix of the implant purchased are given in the following table. No. of implants (%) Supplier Cost per pack Large Medium Small Knee-wala z(8000+XXX) 40 20 40 Knee-sure (6000+XXX) 20 40 40 Each quarter the hospital requires at least (100 + XX) large implants, (200 + XX) medium implants, and (220 + XX) small implants. Because of limited availability, at most 400 implants can be purchased from each supplier. Determine the optimal number of packs that should be purchased from each supplier so as to minimise the total cost. XXX = last three digits of your
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