Johnny has recently purchased 110 acres of land in New Zealand. He has decided to grow apple and kiwifruit on that land. Due to the quality of the sun and the climate, the entire production of apple and kiwifruit can be sold. He wants to know how to plant each fruit in the 110 acres, given the costs, net profits and labour requirements according to the table below. Fruit Cost (Price/Acre) Net Profit (Price/Acre) Man-days/Acre Apple $100 $50 10 Kiwifruit $200 $120 30 Johnny has a budget of $100,000 and 1,200 man-days during the planning horizon. Use the graphical method to find the optimal solution and the optimal value.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Johnny has recently purchased 110 acres of land in New Zealand. He
has decided to grow apple and kiwifruit on that land. Due to the quality
of the sun and the climate, the entire production of apple and kiwifruit
can be sold. He wants to know how to plant each fruit in the 110 acres,
given the costs, net profits and labour requirements according to the
table below.
Fruit
Cost (Price/Acre) Net Profit (Price/Acre) Man-days/Acre
Apple
$100
$50
10
Kiwifruit
$200
$120
30
Johnny has a budget of $100,000 and 1,200 man-days during the
planning horizon. Use the graphical method to find the optimal solution
and the optimal value.
Transcribed Image Text:Johnny has recently purchased 110 acres of land in New Zealand. He has decided to grow apple and kiwifruit on that land. Due to the quality of the sun and the climate, the entire production of apple and kiwifruit can be sold. He wants to know how to plant each fruit in the 110 acres, given the costs, net profits and labour requirements according to the table below. Fruit Cost (Price/Acre) Net Profit (Price/Acre) Man-days/Acre Apple $100 $50 10 Kiwifruit $200 $120 30 Johnny has a budget of $100,000 and 1,200 man-days during the planning horizon. Use the graphical method to find the optimal solution and the optimal value.
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