Question 1

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.